Answer:
220mL
Explanation:
The dilution formular was applied to obtain the volume of stock solution required to prepare the desired concentration of solution in the desired volume. Details are found in the image attached.
Follow the Carbon in Citric Acid Cycle: 1. How many cycles does it take to convert Acetyl CoA to CO2
Each round of Citric Acid Cycle produce 2 molecules of carbon dioxide. So one cycle of TCA cycle is enough to convert Acetyl CoA to carbon dioxide.
Explanation:Citric Acid Cycle or Kreb's Cycle or the TCA cycle is the 1st dedicated step towards the aerobic respiration. The end product of glycolysis is Pyruvate which is a three carbon compound. It's acted upon by Pyruvate Decarboxylase to produce a 2 carbon compound Acetyl CoA and a molecule of carbon dioxide. This Acetyl CoA now reacts with oxaloacetate to produce Citric Acid which is the 1st step of Citric Acid Cycle. This now produce several intermediates and a lot of reduced electron carriers along with 2 molecules of carbon dioxide and ends up being oxaloacetate again. So one cycle of Citric Acid Cycle is necessary to convert Acetyl CoA to CO2.
The total volume in milliliters of a glucose-water solution is given by the equation below: V = 1001.93 + 111.5282m + 0.64698m^2 where m is the molality of the solution. a. The partial molar volume of glucose, is? b. Find the partial molar volume of glucose in a 0.100m solution of glucose in water.
Answer:
a. Vₐ = 111.5282 + 1.29396m
b. For m = 0.100m; Vₐ = 111.6576
Explanation:
The partial molar volume of compound A in a mixture of A and B is defined as :
[tex]V_a = \frac{dV}{dn_a}[/tex]
Where V is volume and n are moles of a.
a. As molality is proportional to moles of substance, partial molar volume of glucose can be defined as:
Vₐ = dV / dm = d(1001.93 + 111.5282m + 0.64698m²) / dm
Vₐ = 111.5282 + 1.29396m
b. Replacing for m = 0.100m:
Vₐ = 111.5282 + 1.29396×0.100
Vₐ = 111.6576
I hope it helps!
Final answer:
The partial molar volume of glucose is calculated by taking the derivative of the volume-molality equation and then evaluating at a specific molality (0.100m). The result is 111.657596 mL/mol for the partial molar volume of glucose in a 0.100m solution.
Explanation:
The question asks us to calculate the partial molar volume of glucose and then find its value in a 0.100m glucose-water solution. The partial molar volume (denoted as ϕV/ϕm) represents the change in total volume (V) with respect to the change in molality (m) of the solution, holding the amount of solvent constant. This can be computed by taking the derivative of the volume equation with respect to m:
V = 1001.93 + 111.5282m + 0.64698m2
The first derivative will yield the expression for the partial molar volume:
(ϕV/ϕm) = 111.5282 + 2×0.64698m
To calculate the partial molar volume of glucose in a 0.100m solution, simply substitute 0.100 for m in the derived expression:
(ϕV/ϕm) = 111.5282 + 2×0.64698×0.100 = 111.5282 + 0.129396 = 111.657596 mL/mol
Note that to find the mass of the solvent, water, in the solution, a calculation is needed using the molarity and density of the solution. Knowing that the mass of glucose and molality conversions are essential for such calculations, and realizing that glucose's molar mass is needed to find the mass of glucose from its molar amount.
After a polypeptide chain has been synthesized, certain amino acids in the peptide may become modified. For each modified amino acid, identify the standard amino acid from which it is derived. Enter the unabbreviated name of the standard amino acid. The amino acid structure shows the fully ionized form. The side chain is C H 2, C H 2, C H (O H), C H 2, N H 3 (plus). standard amino acid: Identify the modification that yields the first amino acid depicted.
Answer:
The name of the amino acid is lysine.
The number five carbon in lysine is the carbon that is hydroxylated. The modification you ask is when adding hydroxyl group (C-OH bonds). These links are made by an enzyme called hydroxylase, vitamin C acting as a cofactor. This reaction is one of the most fundamental post-translational modifications.
Explanation:
Hydroxyproline is derived from the standard amino acid proline through the addition of a hydroxyl group, and it plays a role in the structure of collagen.
Explanation:The modified amino acid depicted in the question is hydroxyproline, which is derived from the standard amino acid proline.
During the modification process, proline is hydroxylated by adding a hydroxyl group (-OH) to the side chain. This results in the formation of hydroxyproline. Hydroxyproline plays an important role in the structure and stability of collagen, a protein found in connective tissues.
In summary, hydroxyproline is derived from proline through the addition of a hydroxyl group, and it is involved in the structure of collagen.
Learn more about Modified amino acids here:https://brainly.com/question/34263709
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Of the atoms listed below, which one will have at least one electron in its d orbital?
A. Mg
B. K
C. S
D. Cr
E. none of the above
Answer:
D. Cr
Explanation:
In order to determine which atom has at least one electron in its d orbital, we have to write their theoretical electron configurations.
₁₂Mg 1s² 2s² 2p⁶ 3s²₁₉K 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹₁₆S 1s² 2s² 2p⁶ 3s² 3p⁴₂₄Cr 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁴Cr has 4 electrons in d orbitals. Cr belongs to the d-block in the periodic table.
Suppose caffeine has a partition coefficient of 2.5 between dichloromethane and water (2.5/1 = dichloromethane/water). You are given a solution of 10 grams of caffeine dissolved in 100 mL water. You extract your caffeine solution 1 x 100 mL dichloromethane, and evaporate your dichloromethane layer. How much caffeine would you expect to isolate?A) 8.0 grams B) 7.5 grams C) 7.1 grams D) 6.5 grams E) 2.9 grams
Answer: Option (C) is the correct answer.
Explanation:
It is given that partition coefficient between dichloromethane and water is 2.5. Let us assume that "x" grams of caffeine is present in 100 ml.
Hence, find the value of x as follows.
2.5 = [tex]\frac{\frac{x}{100}}{\frac{(10 - x)}{100}}[/tex]
x = 25 - 2.5x
x = 7.14
or, x = 7.1
Therefore, we can conclude that caffeine extracted is 7.1 grams.
When can a hypothesis be elevated to the status of a theory?
Answer:
A hypothesis can be described as a tentative statement which can be proved either right or wrong through scientific experiments. If a hypothesis is tested again and again and every time the experiments give the same results, then the hypothesis can take the form of a theory. However, a theory is subjected to change if new researches are made which can annul it. For a theory to be formed, there should be enough explanation behind the phenomenon along with the experiments.
Select the set of quantum numbers that represents each electron in a ground‑state Be atom. n = 2 , ???? = 0 , m ???? = 0 , m s = − 1 2 n = 1 , ???? = 0 , m ???? = 0 , m s = + 1 2 n = 2 , ???? = 0 , m ???? = 0 , m s = + 1 2 n = 2 , ???? = 1 , m ???? = 0 , m s = − 1 2 n = 1 , ???? = 0 , m ???? = − 1 , m s = + 1 2 n = 1 , ???? = 0 , m ???? = 0 , m s = − 1 2 n = 2 , ???? = 0 , m ???? = 0 , m s = − 1 n = 2 , ???? = 1 , m ???? = 1 , m s = + 1 2
Answer:
n: 1, ℓ: 0, ml: 0, ms:+1/2
n: 1, ℓ: 0, ml: 0, ms:-1/2
n: 2, ℓ: 0, ml: 0, ms:+1/2
n: 2, ℓ: 0, ml: 0, ms:-1/2
Explanation:
Beryllium has 4 electrons and its electron configuration is 1s² 2s².
The principal quantum number (n) describes the level of energy. Then, the first two electrons have n = 1, and the second 2 electrons have n = 2.
The azimuthal number (ℓ) describes the subshell of energy. All the 4 electrons are in s subshells, which correspond to ℓ = 0.
The magnetic quantum number (ml) describes the orbital of the subshell. The s subshell has only 1 s orbital, so the only possible value for ml is 0.
The spin quantum number (ms) describes the spin of the electron and can take 2 values: +1/2 or -1/2.
Considering these rules, the quantum numbers for these 4 electrons are:
n: 1, ℓ: 0, ml: 0, ms:+1/2
n: 1, ℓ: 0, ml: 0, ms:-1/2
n: 2, ℓ: 0, ml: 0, ms:+1/2
n: 2, ℓ: 0, ml: 0, ms:-1/2
A solid is hard brittle and electrically nonconducting. it's melt ( the liquid form of the substance) and an aqueous solution containing the substance conduct electricity. classify solid.
Answer: ionic solid
Explanation:
In an ionic solid, the ions are bound together by strong electrostatic attraction hence they are immobile and the solid is unable to conduct electricity. If this solid is dissolved in water, the ions move apart due to solvation and become mobile hence the solution conduts electricity. Similarly, when the solid melts, the ions also become free and the melt conduct electricity.
A solid that is hard, brittle, does not conduct electricity in solid form but does in liquid form or when dissolved in water, and has a high melting point is classified as an ionic solid.
Explanation:The characteristics of the solid described are indicative of an ionic solid. These solids are typically hard and brittle, and they have high melting points. As a solid, ionic compounds do not conduct electricity because the ions are locked in place within the crystal lattice and thus cannot move freely. When these compounds melt, however, the ionic lattice breaks down and the ions are free to move, allowing the liquid to conduct electricity.
Similarly, when an ionic compound is dissolved in water, it dissociates into ions, which are free to move in the solution, making the solution an electrical conductor. This is because an electrolyte is present, which is a substance that contains free ions and can behave as an electrical conductor.
How many grams of coffee must evaporate from 350 g of coffee in a 100-g glass cup to cool the coffee and the cup from 95.0°C to 45.0°C ? Assume the coffee has the same thermal properties as water and that the average heat of vaporization is 2340 kJ/kg (560 kcal/g). Neglect heat losses through processes other than evaporation, as well as the change in mass of the coffee as it cools. Do the latter two assumptions cause your answer to be higher or lower than the true answe
Answer:
31.3 g
The answer is higher than the true answer.
Explanation:
By neglecting the heat lost by other processes, the energy conservation states that:
Qcooling + Qevaporate = 0
The cooling process happens without phase change, so the heat can be calculated by:
Qcooling = m*c*ΔT
Where m is the mass, c is the heat capacity (cwater = 4184 J/kg.K), and ΔT is the temperature variation (final - initial).
The evaporate process happen without changing of temperature (pure substance), and the heat can be calculated by:
Qevaporate = m*L
Where m is the mass evaporated and L is the heat of evaporation (2340000 J/kg).
0.350*4184*(45 - 95) + m*2340000 = 0
2340000m = 73220
m = 0.0313 kg
m = 31.3 g
Because of the assumptions made, the real mass is not that was calculated. There'll be changing mass when the coffee is cooling, and there'll be heat loses by other processes because the system is not isolated. Also, the substance is not pure. So, there'll be more factors at the energy equation, thus, the answer is higher than the true answer.
To cool 350 g of coffee in a 100-g glass cup from 95.0°C to 45.0°C, 33.2 grams of coffee must evaporate.
To solve this problem, we first need to calculate the total heat that needs to be removed from the coffee and the cup.
Steps to Calculate:
Calculate the heat loss needed to cool the coffee:Thus, 33.2 grams of coffee must evaporate to cool the coffee and the cup from 95.0°C to 45.0°C. Neglecting other heat losses means this answer is slightly larger than the true answer.
alculate the percent by mass (percent composition) of hydrogen in methane (CH4). Round your answer to the nearest whole number.
Answer:
25
Explanation:
In one mole of methane [tex](CH_{4})[/tex] there are 4 moles of hydrogen and one mole of carbon atom.
Mass of 1 mole of hydrogen atom = 1 g
Mass of 4 moles of hydrogen atom = 4 g
Mass of 1 mole of carbon atom = 12 g
Mass of 1 mole of methane = 12+4 = 16 g
Mass percent of hydrogen in methane = [tex]\frac{mass\ of\ 4\ moles\ of\ hydrogen\ atom}{mass\ of\ 1\ mole\ of\ methane}[/tex]
[tex]=\frac{4}{16}\times100=25[/tex]
Answer:25%
Explanation:
The total molecular mass of methane (CH4) = 12+4 =16
Hydrogen has a total mass of 4 out of the 16. Now to calculate the percentage of hydrogen there, we have (4/16) x 100 = 25
Two changes are described below. a. Ice melts to form water. b. Sugar cubes dissolve in hot coffee. Which statement is true about the two changes?a. Both are chemical changes because there is a change in the composition of ice and sugar.b. Both are physical changes because there is a change in the physical states of ice and sugar.c. A is a physical change due to a change of state, but B is a chemical change because new molecules are formed.d. A is a chemical change due to a change of state, but B is a physical change because new molecules are formed.
Answer: Option (b) is the correct answer.
Explanation:
A change that does not lead to any difference in chemical composition of a substance is known as a physical change.
For example, shape, size, mass, volume, density, boiling point, etc of a substance are all physical properties.
As ice melts to form water shows that only the state of matter is changing. Hence, it is a physical change. Similarly, sugar cubes dissolve in hot coffee is also a physical change as no new compound has formed.
On the other hand, changes that lead to bring change in chemical composition of a substance is known as a chemical change.
For example, exploding dynamite, rotting cheese etc are all chemical changes.
Thus, we can conclude that both are physical changes because there is a change in the physical states of ice and sugar.
What element is being oxidized in the following redox reaction?
MnO4 (aq) + H2C2O4(aq) → Mn2+(aq) + CO2(g)
Answer:
C is the element thats has been oxidized.
Explanation:
MnO₄⁻ (aq) + H₂C₂O₄ (aq) → Mn²⁺ (aq) + CO₂(g)
This is a reaction where the manganese from the permanganate, it's reduced to Mn²⁺.
In the oxalic acid, this are the oxidation states:
H: +1
C: +3
O: -2
In the product side, in CO₂ the oxidation states are:
C: +4
O: -2
Carbon from the oxalate has increased the oxidation state, so it has been oxidized.
For the decomposition of hydrogen peroxide in dilute sodium hydroxide at 20 °C 2 H2O2(aq)2 H2O(l) + O2(g) the following data have been obtained: [H2O2], M 8.92×10-2 4.72×10-2 2.50×10-2 1.32×10-2 time, min 0 9.63 19.3 28.9 The average rate of disappearance of H2O2 over the time period from t = 0 min to t = 9.63 min is -4.36x10^-3 M min-1.
Answer:
K= 0.06611
Explanation: The rate of reaction is defined as the change in concentration of any of reactant or products per unit time. From the given reaction, the rate of reaction may be equal to the rate of disappearance of reactant which is equal to the rate of appearance of products.
The average rate of disappearance of H2O2 over the time period from t=0 min at 8.92×10^-2 to t=9.63min at 4.72×10^-2 is given as -4.36×10^-3Mmin-1.
We can say:
•The initial concentration [H2O2]o is 8.92×10^-2M
•The concentration at time t. [H2O2]t is 4.72×10^-2
•The time (t) is 9.63 min
The expression of rate constant for a first order reaction is shown as
K=2.303/t log[H2O2]o/ [H2O2]t
Substitute the values of t, [H2O2]o and [H2O2]t in the equation of rate constant.
K=2.303/9.63 log [8.92×10^-2]/ [4.72×10^-2]
K= 0.2391 (log 8.92×10^-2 - log 4.72×10^-2)
K= 0.2391 [-1.0496-(-1.3261)]
K= 0.2391 (-1.0496+1.3261)
K= 0.2391 (0.2765)
K= 0.06611
Since the value of k is almost constant, the decomposition of H2O2 is a first order reaction.
After the stannous chloride solution has been prepared, a few pieces of tin metal, Sn, are dropped into the bottle, to prevent oxidation by air.
Determine the standard cell potential for the following reaction: Sn(s)+Sn4+(aq)→2Sn2+(aq)
Express your answer with the appropriate units.
Answer:
E° = 0.29 V
Explanation:
Let's consider the following redox reaction.
Sn(s) + Sn⁴⁺(aq) → 2 Sn²⁺(aq)
We can identify both half-reactions:
Reduction (cathode): Sn⁴⁺(aq) + 2 e⁻ → Sn²⁺(aq) E°red = 0.15 V
Oxidation (anode): Sn(s) → Sn²⁺(aq) + 2 e⁻ Ered = -0.14 V
The standard cell potential (E°) is the difference between the standard reduction potential of the cathode and the standard reduction potential of the anode.
E° = E°red, cat - E°red, an = 0.15 V - (-0.14 V) = 0.29 V
We discussed the different types of intermolecular forces in this lesson. Which type would you expect to find in CO2?
Answer:
Dispersion forces.
Explanation:
CO2 contains dispersion forces, and covalent bonds. It is a linear molecule, and the bond angle of O-C-O is 180 degree. O is more electronegative than C, the C-O contains polar bond with the having negative end pointing towards the O.
CO contains two C-O bonds. They cancel each other out because of the dipoles point in opposite directions. Although, CO2 contains polar bonds, it is known as a nonpolar molecule. So, the only intramolecular forces which CO2 having are London dispersion forces.
What mass of water can be obtained from 4.0 g of H2 and 16 g of O2?2 H2 + O2 ---> 2 H2O18 g36 g54 g9 g
Answer:
18 g is the mass produced by 4 g of H₂ and 16 g of O₂
Explanation:
The reaction is:
2H₂ + O₂ → 2H₂O
So, let's find out the limiting reactant as we have both data from the reactants.
Mass / Molar mass = moles
4 g/ 2g/m = 2 moles H₂
16g / 32 g/m = 0.5 moles O₂
2 moles of hydrogen react with 1 mol of oxygen, but I have 0.5, so the O₂ is the limiting.
1 mol of O₂ produces 2 mol of water.
0.5 mol of O₂ produce (0.5 .2)/1 = 1 mol of water.
1 mol of water weighs 18 grams.
Answer:
18 grams of [tex]H_2O[/tex]
Explanation:
The balanced equation of the reaction is:
[tex]H_2+\frac{1}{2}O_2 -->H_2O[/tex]
From the balanced equation we can say 1 mole of H2 reacts with 0.5 moles of O2 to give one mole of H2O.
Number of moles of H2 = [tex]\frac{Given\ mass}{Molar\ mass}=\frac{4}{2}=2\ moles[/tex]
Number of moles of O2 = [tex]\frac{Given\ mass}{Molar\ mass}=\frac{16}{32}=0.5\ moles[/tex]
We have 2 moles H2 and 0.5 moles of O2.
Not all H2 reacts because the amount of O2 is limited.
Since only 0.5 moles of O2 is available only 1 mole of H2 reacts according to the balanced equation.
Hence 1 mole of H2O is formed which is 18 grams.
Place the following in order of decreasing X-A-X bond angle, where A represents the central atom and X represents the outer atoms in each molecule.CS2 CF4 SCl2CS2 > SCl2 > CF4CF4 > SCl2 > CS2CF4 > CS2 > SCl2CS2 > CF4 > SCl2SCl2 > CF4 > CS2Step by Step
Answer:
[tex]CS_{2}[/tex] > [tex]CF_{4}[/tex] > [tex]SCl_{2}[/tex]
Explanation:
The X-A-X bond angle means the angle between the surrounding 'X' atoms and the central 'A' atom. The compound [tex]CS_{2}[/tex] has two bond pairs and it is linear in shape. Its bond angle is 180 degrees. The compound [tex]CF_{4}[/tex] has four bond pairs and it is tetrahedral in shape. Its bond angle is 109.5 degrees. The compound [tex]SCl_{2}[/tex] has a bond angle of approximately 109.5 degrees. Therefore the decreasing order of bond angle is:
[tex]CS_{2}[/tex] > [tex]CF_{4}[/tex] > [tex]SCl_{2}[/tex]
The correct order of decreasing X-A-X bond angle is CS2 > CF4 >SCl2.
What is bond angle?The term bond angle refers to the dihedral angle that exists between two atoms that are bonded to the same central atom. Usually, the central atom is the least electronegative atom of the three.
Looking at the compounds involved, we will see that the correct order of decreasing X-A-X bond angle, where A represents the central atom and X represents the outer atoms in each molecule is CS2 > CF4 >SCl2.
Learn more about bond angle: https://brainly.com/question/17960050
Consider the following isotopic symbol: 137Ba2+
a. Explain how to find the number of protons
b. Explain how to find the number of electrons
c. Explain how to find the number of neutrons
d. The atomic number is not shown in the symbol. Why isn't it needed?
e. How would you write the name of this isotope?
f. Is the 137 the atomic mass or the mass number? Explain your answer.
Answer:
a) 56 protons
b) 54 electrons
c) 81 neutrons
d) The sum of protons and neutrons is shown. The number of protons is always the same. So we can calculate the number of neutrons ( and also the isotopes)
e)137Ba (with 56 protons and 81 neutrons)
f) atomic mass is 136.9 u ; the mass number is the sum of protons and neutrons and is 137
Explanation:
Step 1: Data given
137 Ba2+ is an isotope of barium. The atomic number of barium( and its isotopes) is 56. This shows the number of protons.
For a neutral atom, the number of protons is equal to the number of electrons.
The different isotopes of an element have the same number of protons but a different number of neutrons.
137Ba2+ has 56 protons (this is the same as the atomic number)
137Ba2+ has 54 electrons ( since it's Ba2+, this means it has 2 electrons less than protons, that's why it's charged +2)
137Ba2+ has 81 neutrons ( 137 - 56 = 81)
In the symbol, the atomic number is not shown. The sum of the protons and neutrons is shown. (Since the number of protons is the same for every isotope, we can calculate the number of neutrons that way. By knowing the neutrons, we also know the isotope.
This isotope is 137Ba
Atomic mass is also known as atomic weight. The atomic mass is the weighted average mass of an atom of an element based on the relative natural abundance of that element's isotopes.
The atomic mass of 137Ba2+ is 136.9 u
The mass number is a count of the total number of protons and neutrons in an atom's nucleus.
The mass number of 137Ba2+ is 137
Exactly 1.0 lb Hydrone, an alloy of sodium with lead, yields (at 0.0°C and 1.00 atm) 2.6 ft3 of hydrogen when it is treated with water. All the sodium reacts according to the following reaction: 2 Na 1 2 H O() 8n 2 NaOH(aq) 1 H (g) in alloy 2 2 and the lead does not react with water. Compute the per- centage by mass of sodium in the alloy.
Answer:
The percentage by mass of sodium in the alloy is 33.29%.
Explanation:
Volume of hydrogen gas = [tex]V = 2.6 ft^3=73.6237 L[/tex]
[tex]1 ft^3=28.3168 L[/tex]
Pressure of hydrogen gas = P = 1 atm
Temperature of the gas = T = 0.0°C =273.15 K
Moles of hydrogen gas = n
[tex]PV=nRT[/tex] (Ideal gas)
[tex]n=\frac{PV}{RT}=\frac{1atm \times 73.6237 L}{0.0821 atm L/mol K\times 273.15 K}[/tex]
n = 3.2830 mole
Moles of hydrogen gas = 3.280 mole
[tex]2 Na(s) +2H_2O(l)\rightarrow 2NaOH(aq)+ H_2 (g)[/tex]
According to reaction 1 mole of hydrogen is obtained from 2 moles of sodium.
Then 3.280 moles of hydrogen gas will be obtained from :
[tex]\frac{2}{1}\times 3.280 mol=6.566 mol[/tex]
Mass of 6.566 moles of sodium =
6.566 mol × 23 g/mol = 151.02 g
Mass of hydrone = 1.0 lb = 453.592 g
The percentage by mass of sodium in the alloy:
[tex]\frac{151.02 g}{ 453.592 g}\times 100=33.29\%[/tex]
The following (unbalanced) reaction is one of the steps to producing acid rain [as H2SO4(aq)] from sulfur-containing coal. In a study of this reaction, a flask contains an equilibrium concentration of the three substances SO2(g), O2(g) and SO3(g) held at a constant temperature.
SO2 (g) + O2 (g) <-----> SO3 (g)
The concentrations at equilibrium are found to be: [SO2] = 3.61 x 10-3M [O2] = 6.11 x 10-4 M [SO3] = 1.01 x 10-2 M
(a) Write the Equilibrium Constant expression, Kc for this specific reaction.
(b) Calculate the value of Kc for this temperature.
(c) Would you classify this as a product-favored reaction?
Answer:
a) kc= [SO3 ]/([SO2 ][O2 ])
b) kc= 2.27*10⁶ M⁻¹
v) the reaction is product-favored
Explanation:
for the reaction, the equilibrium constant is
SO2 (g) + O2 (g) <-----> SO3 (g)
he equilibrum constant is
kc= [SO3 ]/([SO2 ]*[O2 ])
replacing values
kc= [SO3 ]/([SO2 ]*[O2 ]) = 1.01*10⁻² M/(3.61*10⁻³M*6.11 x 10⁻⁴ M) = 2.27*10⁶ M⁻¹
since kc>>1 the reaction is product-favored
In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a sphere) is 10.0 cm^3. If the sphere were broken down into eight spheres each having a volume of 1.25 cm^3, and the reaction is run a second time, which of the following accurately characterizes the second run?
Choose all that apply.
A. The second run will be faster.
B. The second run will be slower.
C. The second run will have the same rate as the first.
D. The second run has twice the surface area.
E. The second run has eight times the surface area.
F. The second run has 10 times the surface area.
Answer:
D
Explanation:
We know that the
reaction catalyzing power of a catalyst ∝ surface area exposed by it
Given
volume V1= 10 cm^3
⇒[tex]\frac{4}{3} \pi r^3= 10[/tex]
hence r= 1.545 cm
also, surface area S1= [tex]4\pi r^2[/tex]
now when the sphere is broken down into 8 smaller spheres
S2= 8×4πr'^2
now, equating V1 and V2 ( as the volume must remain same )
[tex]\frac{4}{3}\pi r^3=8\times\frac{4}{3} \pi r'^3[/tex]
and solving we get
r'= r/2
therefore, S2=[tex]8\times4\pi\frac{r}{2}^2[/tex]
S2=[tex]2\times4\pi r^2[/tex]
S2= 2S1
hence the correct answer is
. The second run has twice the surface area.
Compute the radius r of an impurity atom that will just fit into an FCC octahedral site in terms of the atomic radius R of the host atom, and compute the radius r of an impurity atom that will just fit into an BCC tetrahedral site in terms of the atomic radius R.
Answer:
FCC: r = 0.414R
BCC: r = 0.291R
Explanation:
For an FCC unit cell, the interstitial site is located at the middle of the edge. An atom that can occupy the interstitial site will have a diameter of 2*r. And we know that:
2*r = a - 2*R equation (1.0)
a = [tex]2*\sqrt{2}*R[/tex]
Therefore, substituting the expression for 'a' in equation (1.0)
2*r = [tex]2*\sqrt{2}*R[/tex] - 2*R
r = R*([tex]2\sqrt{2} - 2[/tex])/2 = 0.414R
For a BCC unit cell, there is a right-angle triangle formed by 3 arrows. Using the triangle, we have:
[tex]\frac{a^{2} }{2} +\frac{a^{2} }{4} = (R+r)^{2}[/tex] equation (2.0)
a = [tex]\frac{4R}{\sqrt{3} }[/tex]
replacing the expression for a in equation (2.0), we have:
[tex]\frac{4R^{2} }{2\sqrt{3} } + \frac{4R^{2} }{4\sqrt{3} } = R^{2} + 2Rr + r^{2}[/tex]
Further simplification and rearrangement, the expression above is simplified to:
[tex]r^{2} + 2Rr - 0.667R^{2} = 0[/tex]
Solving the above quadratic equation, we have:
[tex]r = \frac{-2R - 2.582R}{2}or\frac{-2R + 2.582R}{2}[/tex]
r = - 2.291R or 0.291 R
Since the value of r can only be positive, the correct answer is r = 0.291R
To find the radius of an impurity atom in a FCC octahedral site, use the length of the face diagonal and the atomic radius of the host atom. For a BCC tetrahedral site, consider the relationship between the cation and anion radii.
Explanation:In an FCC structure, the radius of an impurity atom that will just fit into an octahedral site can be calculated using the length of the face diagonal and the atomic radius of the host atom. The length of the diagonal is equal to four times the host atom radius, so we can use this information to find the radius of the impurity atom.
For a BCC structure, the radius of an impurity atom that will just fit into a tetrahedral site can be calculated by considering the relationship between the cation and anion radii. The cation radius is typically a certain percentage of the anion radius, and this information can be used to determine the radius of the impurity atom.
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How much energy must be supplied to break a single 21Ne nucleus into separated protons and neutrons if the nucleus has a mass of 20.98846 amu?
What is the nuclear binding energy for 1 {\rm mol} of {\rm ^{21}Ne}?
Answer:
1)There is 2.68 * 10^-11 J of energy needed
2) The nuclear binding energy for 1 mol of Ne is 1.6 *10^13 J/mol
Explanation:
Step 1: Data given
The nucleus of a21Ne atom has a amass of 20.98846 amu.
Step 2: Calculate number of protons and neutrons
The number of electrons and protons in an 21Ne atom = 10
The number of neutrons = 21 -10 =11
Step 3: mass of the atom
Mass of a proton = 1.00727647 u
Mass of a neutron = 1.0086649 u
The mass of the atom = mass of all neutrons + mass of protons
Mass of atom = 11*1.0086649 + 10*1.00727647 = 21.1680786 amu
Step 4: Calculate change of mass
The change in mass = Mass of atom - mass of neon
Δmass = 21.1680786 - 20.98846
Δmass = 0.1796186
Step 5: Calculate mass for a single nucleus
The change of mass for a single nucleus is = Δmass / number of avogadro
Δmass of nucleus = 0.1796186 / 6.022*10^23
Δmass of nucleus =2.98 * 10^-25 grams = 2.98 * 10^-28 kg
Step 6: Calculate energy to break a Ne nucleus
Calculate the amount of energy to break a Ne nucleus
ΔEnucleus = Δmass of nucleus * c²
⇒ with c = 2.9979 *10^8 m/s
ΔEnucleus = 2.98 * 10^-28 kg * (2.9979*10^8)² = 2.68 * 10^-11 J
What is the nuclear binding energy for 1 mol of Ne?
ΔE= ΔEnucleus * number of avogadro
ΔE= 2.68 * 10^-11 J * 6.022*10^23
ΔE= 1.6 *10^13 J/mol
The electron cloud of HF is smaller than that of F2, however, HF has a much higher boiling point than F2 has. Which of the following explains how the dispersion-force model of intermolecular attraction does not account for the unusually high boiling point of HF?
A. F2 is soluble in water, whereas HF is insoluble in water.
B. The F2 molecule has a greater mass than the HF molecule has.
C. Liquid F2 has weak dispersion force attractions between its molecules, whereas liquid HF has strong ionic interactions between H+ and F- ions.
D. Liquid F2 has weak dispersion force attractions between its molecules, whereas liquid HF has both weak dispersion force attractions and hydrogen bonding interactions between its molecules.
Answer:D
Explanation:
The high boiling point of HF is not attributable to the dispersion forces mentioned in the question. In HF, a stronger attraction is in operation, that is hydrogen bonding. This ultimately accounts for the high boiling point and not solely the dispersion model as in F2.
The unusually high boiling point of HF compared to F2 is due to the strong hydrogen bonding interactions between HF molecules.
Explanation:The correct answer is D. Liquid F2 has weak dispersion force attractions between its molecules, whereas liquid HF has both weak dispersion force attractions and hydrogen bonding interactions between its molecules. Dispersion forces are a type of intermolecular force that occurs between all molecules, regardless of polarity.
However, these forces are generally weaker than other types of intermolecular forces such as hydrogen bonding. In HF, the significant electronegativity difference between hydrogen and fluorine leads to the formation of a polar covalent bond, which makes the HF molecules capable of hydrogen bonding, a stronger intermolecular force.
This hydrogen bonding results in a much higher boiling point for HF as compared to F2, which can only interact with other F2 molecules via relatively weaker dispersion forces.
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During a sunset, molecules interact with light and scatter all but which colors?
A.green
B.red
C.blue
D.purple
Answer:
B.red
Explanation:
Electromagnetic spectrum is range of the frequencies and their respective wavelengths of the various type of the electromagnetic radiation.
In order of the decreasing wavelength the spectrum are:
Red , Orange, Yellow, Green, Blue, Indigo, Violet
Increasing wavelength is the opposite trend. Thus, The longest visible wavelength is red and the shortest is violet.
Also, Violet light gets scattered the most while the red light gets scattered the least.
During the time of the sunset, the Earth is rotating away from the Sun. Thus, most of the light colors scatters in the ways and the color that least scatter which is red reaches the Earth.
That's why, at the time of sunrise and sunset, the sky looks red.
Nitrogen and oxygen can react to form various compounds.
Two experiments showed that one compound is formed when 3.62 g of nitrogen and 2.07 g of oxygen react completely, while another compound is formed when 1.82 g of nitrogen reacts completely with 4.13 g of oxygen.
Which of the following are most likely the molecular formulas for the nitrogen oxides obtained in these experiments?(1) NO, N2O(2) NO, NO2(3) N2O, N2O5(4) NO, N2O4(5) N2O, N2O4
Answer:
5- N20 and N2O5
Explanation:
Full working is shown in the image attached. It is important to remember that NO2 dimerizes to N2O4 while N2PO occurs as monomers.
Write a balanced chemical equation, including physical state symbols, for the decomposition of solid sodium azide (NaN3) into solid sodium and gaseous dinitrogen. Suppose 22.0 L of dinitrogen gas are produced by this reaction, at a temperature of 11.0 C and pressure of exactly 1 atm. Calculate the mass of sodium azide that must have reacted.
Answer:
39g
Explanation:
Details of the solution is shown below. From the information provided regarding the N2 produced, we could calculate the amount of N2 produced and use that to find the mass of sodium azide reacted.
The balanced chemical equation for the decomposition of solid sodium azide (NaN3) is 2 NaN3(s) = 2 Na(s) + 3 N2(g). Using the ideal gas law, we can calculate the number of moles of dinitrogen gas produced, which is 1.07 mol. From the balanced equation, we find that 1 mole of NaN3 decomposes to produce 3 moles of N2. Therefore, the mass of sodium azide that reacted is 23.40 g.
The balanced chemical equation for the decomposition of solid sodium azide (NaN3) into solid sodium and gaseous dinitrogen is:
2 NaN3(s) → 2 Na(s) + 3 N2(g)
Given that 22.0 L of dinitrogen gas are produced by this reaction at a temperature of 11.0°C and a pressure of exactly 1 atm, we can use the ideal gas law to calculate the number of moles of dinitrogen gas produced:
n = PV / RT = (1 atm)(22.0 L) / (0.0821 atm·L/mol·K)(11.0°C + 273.15 K) = 1.07 mol
From the balanced chemical equation, we can see that 1 mole of NaN3 decomposes to produce 3 moles of N2. Therefore, the number of moles of NaN3 that reacted is 1.07 / 3 = 0.36 mol.
To calculate the mass of sodium azide that must have reacted, we can use the molar mass of NaN3 which is 65.01 g/mol:
mass = moles × molar mass = 0.36 mol × 65.01 g/mol = 23.40 g
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Dimethyl sulfoxide is an important polar aprotic solvent that can dissolve both polar and nonpolar compounds and is miscible in a wide range of organic solvents as well as water. Because it penetrates the skin very readily, it is sometimes used as a vehicle for topical application of pharmaceuticals.
Draw the structure of dimethyl sulfoxide. Include any nonbonding electrons on sulfur, and minimize formal charges by allowing sulfur to expand its octet.
Answer:
The structure is shown below.
Explanation:
To draw a structure first we need to know its molecular formula, which is C2H6SO for dimethyl sulfoxide. The central atom is sulfur, which is bonded to an oxygen and with two methyl groups (CH3).
Sulfur has 6 electrons in its valence shell, as so oxygen. To complete the octet of oxygen, 2 electrons will be shared by sulfur with it. So, it remains 4 electrons at the central atom. Carbon has 4 electrons in its valence shell, so it needs more 4 to be stable, and is already sharing 3 electrons with the hydrogens, thus, sulfur will share one electron with each one of them.
So, it will remain 2 nonbonding electrons in the central atom. According to the VSPER theory, to minimize formal charges, the structure would be a trigonal pyramid, but, the double bonding with oxygen has a large volume, then the geometry will be trigonal, as shown below.
Choose a depiction of a gas sample containing equal molar amounts of xenon and argon as described by kinetic molecular theory. Red dots are used to represent xenon atoms and blue dots to represent argon atoms. Each atom is drawn with a "tail" that represents its velocity relative to the others in the mixture.
Answer:
On the attached picture.
Explanation:
Hello,
At first, it is important to remember that kinetic molecular theory help us understand how the molecules of a gas behave in terms of motion. In such a way, the relative velocity of a gas molecule has the following relationship with the gas' molar mass:
[tex]V[/tex]∝[tex]\frac{1}{\sqrt{M} }[/tex]
That is, an inversely proportional relationship which allows us to infer that the bigger the molecule the slower it. In this manner, as argon is smaller than xenon, it will move faster.
Now, as the gases are in equal molar amounts and considering that argon moves faster, on the attached picture you will find the suitable depiction of the gas sample, since red dots (argon) have a larger tail than the blue dots (xenon).
Best regards.
The kinetic molecular theory explains gas behavior, showing that at a given temperature, heavier molecules like xenon move slower than lighter molecules like argon, which can be depicted with varying tail lengths in visual models.
Explanation:Understanding Gases through Kinetic Molecular TheoryThe kinetic molecular theory of gases provides an explanation for the properties of gases by modeling them as small, hard spheres with insignificant volume, in constant motion, and undergoing perfectly elastic collisions. According to this theory, the average kinetic energy (KEavg) of gas molecules is the same for all gases at a given temperature, regardless of the molecular mass. However, because the kinetic energy depends only on temperature, lighter molecules will have higher speeds compared to heavier molecules at the same temperature.
Given a gas sample containing equal molar amounts of xenon and argon, depicted by kinetic molecular theory, we would see red dots (xenon) and blue dots (argon) with tails representing their velocities. As the diagrams from the theory suggest, we would expect that, at the same temperature, xenon atoms (being heavier) would have shorter tails (indicating lower speeds) than argon atoms (which are lighter and thus would have longer tails for higher speeds).
This behavior of the molecules can be seen in the average root mean square speed (Urms) trend, where heavier noble gases like xenon show a distribution of speeds peaking at lower values, whereas lighter ones like argon peak at higher speeds. This concept is crucial in the depiction of gas samples in kinetic molecular theory and can be visualized through illustrations that incorporate this difference in molecular speed based on the mass of the gas particles.
When of alanine are dissolved in of a certain mystery liquid , the freezing point of the solution is lower than the freezing point of pure . On the other hand, when of iron(III) nitrate are dissolved in the same mass of , the freezing point of the solution is lower than the freezing point of pure . Calculate the van't Hoff factor for iron(III) nitrate in . Be sure your answer has a unit symbol, if necessary, and round your answer to significant digits.
Answer:
i = 3,5
Explanation:
There are missing the following values:
132 g Alanine
1150g of X
4,4°C the first freezing point dercreasing
132g of Iron(III) nitrate
5,6°C the second freezing point decreasing.
The freezing point depression is a colligative property that describes the decrease of the freezing point of a solvent on the addition of a non-volatile solute.
The formula is:
ΔT = i kf mb
Where ΔT is freezing point decreasing, i is Van't Hoff factor, kf, is cryoscopic constant and mb is molality of solution.
For alanine Van't Hoff factor is 1 (Ratio between particles in dissolution and before dissolution), molality is:
132g×(1mol/89,09g) = 1,48mol / 1,150kg = 1,29 mol/kg
Replacing:
4,4K = 1 kf 1,29mol/kg
kf = 3,41 K·kg/mol
Now, for Iron(III) nitrate molality is:
132g×(1mol/241,86g) = 0,546mol / 1,150kg = 0,475 mol/kg
Replacing:
5,6K = i×3,41 K·kg/mol×0,475 mol/kg
i = 3,5
I hope it helps!