The balanced nuclear equation for the beta decay of carbon-11 is ⁶₁₁C → ⁶₁₂N + ⁰⁻₁e, which indicates carbon-11 transforming into nitrogen-11 and emitting a beta particle (electron).
Explanation:The beta decay of carbon-11 is a type of radioactive decay where a beta particle (an electron) is emitted from an atomic nucleus. Writing a balanced nuclear equation for this process involves showing the original nucleus, the emitted beta particle, and the resulting daughter nucleus. In beta decay, a neutron in the nucleus is transformed into a proton and an electron. The electron is ejected from the nucleus as the beta particle, and the atomic number of the nucleus increases by one while the mass number remains the same.
The balanced nuclear equation for the beta decay of carbon-11 is:
⁶₁₁C → ⁶₁₂N + ⁰⁻₁e
Here, carbon-11 (⁶₁₁C), with 6 protons and 5 neutrons, decays to nitrogen-11 (⁶₁₂N), which has 7 protons and 4 neutrons, by emitting a beta particle (⁰⁻₁e, also represented as β-). This process increases the atomic number by one, from carbon (6) to nitrogen (7), while the mass number remains 11.
Final answer:
The balanced nuclear equation for the beta decay of carbon-11 is 11C → 11B + β + γ. The daughter isotope in this decay is boron-11 (11B).
Explanation:
The balanced nuclear equation for the beta decay of carbon-11 is:
11C → 11B + β + γ
The daughter isotope in this decay is boron-11 (11B).
Which configuration of a phospholipid would you expect to see in the presence of water?
when the pressure that a gas exerts on a sealed container changes from blank torr to 900 torr the temperature changes from 300 k to 450 k
Answer:
Initial pressure = 600 torr
Explanation:
Given:
Initial pressure, P1 = 900 torr
Initial Temperature, T1 = 300 K
Final temperature, T2 = 450 K
To determine:
Final pressure of gas, P2
Explanation:
Based on the ideal gas equation
[tex]PV = nRT\\[/tex]
where n = moles of gas
R = gas constant, T = temperature
At constant volume (V), the above equation becomes:
P/T = constant
This is Gay-Lussac's law
[tex]\frac{P1}{T1} =\frac{P2}{T2} \\\\P1=\frac{P2}{T2} *T1=\frac{900\ torr}{450\ K} *300\ K=600\ torr[/tex]
What number of atoms of phosphorus are present in 1.00g of each of the compounds in exercise 48?
Answer:
Explanation:
The compounds in exercise 48 are:
a) P4O6,
b) Ca3 (PO4)2, and
c) Na2 H PO4
So, proceed with the calculus for each compound.
a) Molecular formula: P4O6
Molar mass: 4 * 31 g/mol + 6* 16g/mol = 220 g/mol
Number of moles in 1.00 grams of compound = mass in grams / molar mass =
= 1.00 g / 220 g/mol = 0.004545 mol
0.004545 mol of P4O6 contains 4 * 0.004545 = 0.01818moles of atoms of P.
=> 0.01818 moles * 6.022 * 10^23 atoms / mol = 1.095 * 10^ 22 atoms of P.
Answer: 1.095 * 10^22 atoms of P.
b) Ca3 (PO4)2
molar mass = 3 * 40.1 g/mol + 2 * 31.0 g/mol + 8 * 16 g/mol = 310.3 g/mol
number of moles in 1.00 g of Ca3 (PO4)2 = 1.00 g / 310.3 g/mol = 0.00322 mol
0.00322 mol of compound * 2 mol P / mol of compound = 0.00644 mol P
0.00644 mol P * 6.022 * 10^23 atom / mol = 3.878 * 10 ^ 21 atoms P
Answer: 3.878 * 10^21 atoms P
c) Na2 H PO4
molar mass = 2 * 23.0 g/mol + 1 g/mol + 31.0 g/mol + 4 * 16g/mol = 142.0 g/mol
number of moles = 1.00 g / 142.0 g/mol = 0.0070 moles Na2HPO4
=> 0.0070 moles P
=> 0.0070 * 6.022 * 10^23 = 4.215 * 10^21 atoms of P
Answer: 4.215 * 10^21 atoms P
Final answer:
To determine the number of atoms of phosphorus in a compound, you need to use the molar mass and Avogadro's number. Convert the mass of the compound to moles and then multiply by Avogadro's number to get the number of atoms.
Explanation:
The number of atoms of phosphorus present in a compound can be determined using the molar mass and Avogadro's number. We need to convert the mass of the compound to moles using its molar mass, and then multiply by Avogadro's number to get the number of atoms.
For example, if we have 1.00g of phosphorus pentoxide (P2O5), we can calculate the number of atoms of phosphorus by:
Calculating the moles of P2O5 using its molar mass (141.94 g/mol) Converting the moles of P2O5 to moles of phosphorus using the ratio in the balanced equation (2 moles of P per 1 mole of P2O5) Multiplying the moles of phosphorus by Avogadro's number (6.022 x 1023 atoms/mol)
The result will be the number of atoms of phosphorus in 1.00g of P2O5.
Aluminum reacts with chlorine gas to form aluminum chloride. 2al(s)+3cl2(g)→2alcl3(s) what minimum volume of chlorine gas (at 298 k and 225 mmhg) is required to completely react with 7.85 g of aluminum
To find the minimum volume of chlorine gas required to react with 7.85 g of aluminum, we convert the mass of aluminum to moles, find the necessary moles of chlorine gas using the balanced equation, and then apply the ideal gas law to find the volume.
Explanation:The question is asking about the volume of chlorine gas required to completely react with a given amount of aluminum. We know from the balanced equation that 2 moles of aluminum (Al) react with 3 moles of chlorine gas (Cl) to form 2 moles of aluminum chloride (AlCl₃). First, we've to convert the mass of aluminum to moles by dividing the mass 7.85g by the molar mass of aluminum (26.98 g/mol), giving approximately 0.291 mol.
From the equation, we know the mole ratio of Al to Cl2 is 2 to 3. Therefore, 0.291 moles of Al will require 0.437 mol of Cl₂. Next, we apply the ideal gas law (PV=nRT) to find the volume. Here, P=225 mmHg (which is 0.296 atmospheres), R=0.0821(atm L)/(mol K), T=298 K and n=0.437 mol.
Finally, solving for V in PV=nRT gives us V = nRT/P, approximating 11.08 L as the minimum volume of chlorine gas required to react.
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In the reaction 2 c o2 → 2 co, how many moles of carbon are needed to produce 66.0 g of carbon monoxide
The solution would be like this for this specific problem:
Given:
66.0 g of carbon monoxide
mol e= mass / molar mass
In the given reaction moles of carbon are needed to produce 66.0 g of carbon monoxide is 2.35 moles.
How we calculate moles?Moles of any substance will be calculated as:
n = W/M, where
W = given mass
M = molar mass
Given chemical reaction is:
2C + O₂ → 2CO
Moles of 66g of CO = 66g / 28g/mol = 2.35 mol
2 moles of CO = produced by 2 moles of carbon
2.35 moles of CO = produced by 2.35 moles of carbon
Hence, required moles of carbon are 2.35 moles.
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Aluminium chloride dissolved in Water =? When you dissolve aluminium chloride in water, what is the balanced chemical equation? NOTE: Not a chemical reaction, just dissolving.
How many milliliters of a 0.266 m lino3 solution are required to make 150.0 ml of 0.075 m lino3 solution?
We need an equation that would relate the concentration of the original solution to that of the desired solution. To solve this we use the equation expressed as follows,
M1V1 = M2V2
where M1 is the concentration of the stock solution, V1 is the volume of the stock solution, M2 is the concentration of the new solution and V2 is its volume.
M1V1 = M2V2
0.266 M x V1 = 0.075 M x 150 mL
V1 = 42.29 mL
Therefore, we need about 42.29 mL of the 0.266 M of lithium nitrate solution to make 150.0 mL of the 0.075 M lithium nitrate solution.
[tex]\boxed{{\text{42}}{\text{.3 mL}}}[/tex] of a 0.266 M [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution is required to make 150 mL of a 0.075 M [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution.
Further Explanation:
The concentration is the proportion of substance in the mixture. The most commonly used concentration terms are as follows:
1. Molarity (M)
2. Molality (m)
3. Mole fraction (X)
4. Parts per million (ppm)
5. Mass percent ((w/w) %)
6. Volume percent ((v/v) %)
Molarity is a concentration term that is defined as the number of moles of solute dissolved in one litre of the solution. It is denoted by M and its unit is mol/L.
The molarity equation is given by the following expression:
[tex]{{\text{M}}_{\text{1}}}{{\text{V}}_{\text{1}}} = {{\text{M}}_{\text{2}}}{{\text{V}}_{\text{2}}}[/tex] …… (1)
Here,
[tex]{{\text{M}}_{\text{1}}}[/tex] is the molarity of the initial [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution.
[tex]{{\text{V}}_{_{\text{1}}}}[/tex] is the volume of the initial [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution.
[tex]{{\text{M}}_{\text{2}}}[/tex] is the molarity of the new [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution.
[tex]{{\text{V}}_{_{\text{2}}}}[/tex] is the volume of the new [tex]{\text{LiN}}{{\text{O}}_{\text{3}}}[/tex] solution.
Rearrange equation (1) to calculate [tex]{{\text{V}}_{\text{1}}}[/tex].
[tex]{{\text{V}}_{\text{1}}}=\frac{{{{\text{M}}_{\text{2}}}{{\text{V}}_{\text{2}}}}}{{{{\text{M}}_{\text{1}}}}}[/tex] …… (2)
The value of [tex]{{\text{M}}_{\text{1}}}[/tex] is 0.266 M.
The value of [tex]{{\text{M}}_{\text{2}}}[/tex] is 0.075 M.
The value of [tex]{{\text{V}}_{_{\text{2}}}}[/tex] is 150 mL.
Substitute these values in equation (2).
[tex]\begin{aligned}{{\text{V}}_{\text{1}}}&=\frac{{\left({{\text{0}}{\text{.075 M}}} \right)\left( {{\text{150 mL}}} \right)}}{{{\text{0}}{\text{.266 M}}}}\\&=42.29{\text{ mL}}\\&\approx 42.{\text{3 mL}}\\\end{aligned}[/tex]
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Concentration terms
Keywords: molarity, LiNO3, 42.3 mL, molarity equation, volume, M1, M2, V1, V2, 150 mL, 0.075 M, 0.266 M, concentration, concentration terms.
Copper is which type of solid? molecular solid ionic solid covalent atomic solid metallic atomic solid
Copper is a metallic atomic solid , the atoms are arranged in a regular pattern, with the valence electrons being free to move throughout the structure.Thus, the correct option is metallic atomic solid.
Copper is an example of a metal, and metals typically exhibit metallic bonding, where the valence electrons form a "sea" of delocalized electrons, creating strong bonds between the metal atoms. This allows for the high electrical and thermal conductivity that metals are known for.
Metallic solids are compounds that are entirely comprised of metal atoms that are held together by metallic bonds.Metallic bonding is a type of intramolecular force of attraction that occurs between a lattice of positive ions and a "sea" of delocalized electrons.
Thus, the correct option is metallic atomic solid.
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The balanced equation for the reaction occurring when iron(iii) oxide, a solid, is reduced with pure carbon to produce carbon dioxide and molten iron is
Answer: The balanced chemical equation is written below.
Explanation:
A balanced chemical equation is defined as the equation in which total number of individual atoms on the reactant side is equal to the total number of individual atoms on the product side. These equations follow law of conservation of mass.
The chemical equation for the reaction of iron (III) oxide with carbon follows:
[tex]2Fe_2O_3(s)+3C(s)\rightarrow 3CO_2(g)+4Fe(l)[/tex]
By Stoichiometry of the reaction:
2 moles of solid iron (III) oxide reacts with 3 moles of pure carbon to produce 3 moles of carbon dioxide gas and 4 moles of molten iron
Hence, the balanced chemical equation is written above.
Jane bought some raisins to keep in her purse as a snack what is one reason raisins dont need refrigeration
Answer: The drying process worked to preserve them
Explanation: apex
Convert 112°C to Kelvin.
Answer:
112 °C = 385 K
Explanation:
The relation between Kelvin and Celsius degrees is
0°C = 273.15 K
To convert the temperature from Celsius to Kelvin we must add 273.15:
112 °C + 273.15 = 385.15 K
With the correct significant figures the answer would be 385 K
What is the ph of a solution containing 0.12 mol/l of nh4cl and 0.03 mol/l of naoh (pka of is 9.25)?
The Henderson-Hasselbalch equation fails to provide accurate pH readings for excessively diluted buffer solutions because it ignores the self-dissociation that occurs in water. The pH of the solution is 8.65.
The Henderson-Hasselbalch equation establishes a connection between an acid's pKa (acid dissociation constant) and pH in aqueous solutions. When the concentration of the acid and its conjugate base, or the base and the corresponding conjugate acid, are known, the pH of a buffer solution can be determined with the use of this equation.
The expression used to calculate pOH is:
pOH = pKb + log [Conjugate acid]/ [Weak base]
pKa + pKb = 14
pKb = 14 - pKa
pKb = 14 - 9.25
pKb = 4.75
pOH = 4.75 + log 0.12 / 0.03
pOH = 5.35
pH = 14 - pOH
pH = 14 - 5.35
pH = 8.65
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Using the table below, what is the change in enthalpy for the following reaction? 3CO (g) + 2Fe2O3 (s) Imported Asset Fe(s) + 3CO2 (g)
To solve this problem, we should recall that the change in enthalpy is calculated by subtracting the total enthalpy of the reactants from the total enthalpy of the products:
ΔH = Total H of products – Total H of reactants
You did not insert the table in this problem, therefore I will find other sources to find for the enthalpies of each compound.
ΔHf CO2 (g) = -393.5 kJ/mol
ΔHf CO (g) = -110.5 kJ/mol
ΔHf Fe2O3 (s) = -822.1 kJ/mol
ΔHf Fe(s) = 0.0 kJ/mol
Since the given enthalpies are still in kJ/mol, we have to multiply that with the number of moles in the formula. Therefore solving for ΔH:
ΔH = [3 mol ( − 393.5 kJ/mol) + 1 mol (0.0 kJ/mol)] − [3 mol ( − 110.5 kJ/mol) + 2 mol ( − 822.1 kJ/mol)]
ΔH = 795.2 kJ
Consider the potassium permanganate reaction again.
2KMnO4 + 16HCl → 2KCl + 2MnCl2 + 8H2O + 5Cl2
How many moles of water are produced when 3.45 moles of KMnO4 react? Give your answer to the nearest 0.1 moles.
I know the answer is 13.8 moles but I dont know how to find this. Please explain.
Answer:
Moles of H2O produced = 13.8
Explanation:
Given:
Moles of KMnO4 reacted = 3.45
To determine:
moles of H2O produced
Explanation:
Given reaction:
2KMnO4 + 16HCl →2KCl + 2MnCl2 + 8H2O + 5Cl2
Based on the reaction stoichiometry:
2 moles of KMnO4 produces 8 moles of H2O
Therefore, moles of H2O produced when 3.45 moles of KMnO4 react is:
[tex]= \frac{3.45\ moles\ KMnO4 * 8\ moles\ H2O}{2\ moles\ KMnO4} = 13.8[/tex]
If 1.20 moles of an ideal gas occupy a volume of 18.2 l at a pressure of 1.80 atm, what is the temperature of the gas, in degrees celsius?
We can calculate for temperature by assuming the equation for ideal gas law:
P V = n R T
Where,
P = pressure = 1.80 atm
V = volume = 18.2 L
n = number of moles = 1.20 moles
R = gas constant = 0.08205746 L atm / mol K
Substituting to the given equation:
T = P V / n R
T = (1.8 atm * 18.2 L) / (1.2 moles * 0.08205746 L atm / mol K)
T = 332.70 K
We can convert K unit to ˚C unit by subtracting 273.15 to Kelvin, therefore
T = 59.55 ˚C
which one of the following ia a characteristic of a metal?
An undergraduate weighed out 20grams of sodium hydroxide pellets. If Na =23, O = 16 andH = 1, What is the mole of this sodium hydroxide.
Final answer:
To determine the number of moles of NaOH from 20 grams, calculate the substance's molar mass (39.997 g/mol) and divide the given mass by the molar mass, resulting in 0.5001 moles of NaOH.
Explanation:
The question asks about calculating the moles of sodium hydroxide (NaOH) from its mass in grams. To find moles, one has to use the molar mass of the substance.
First, calculate the molar mass of NaOH:
Na (1 x 22.990 g/mol) + O (1 x 15.999 g/mol) + H (1 x 1.008 g/mol) = 39.997 g/mol.
Next, use this molar mass to find the number of moles:
Given: 20.0 g NaOH,
Desired: moles NaOH
Since 1 mole of NaOH weighs 39.997 g, then:
moles of NaOH = mass (20 g) ÷ molar mass (39.997 g/mol) = 0.5001 moles.
Why is it important to stir the solution in the flask as you add titrant from the buret?
A(n) ________ chemical reaction releases energy, whereas a(n) ________ reaction requires an input of energy.
Answer:
Exothermic chemical reaction
Endothermic chemical reaction
An Exothermic chemical reaction releases energy, whereas an Endothermic chemical reaction requires an input of energy.
An Exothermic chemical reaction involves the release of heat(thermal energy) in a system to the surroundings. The enthalpy(heat) change which is ΔH decreases in this type of reaction
An Endothermic chemical reaction involves the absorption or input of heat in the form of thermal energy by the system from the surroundings. The enthalpy(heat) change which is ΔH increases in this type of reaction.
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Green plants use light from the sun to drive photosynthesis. photosynthesis is a chemical reaction in which water and carbon dioxide chemically react to form the simple sugar glucose and oxygen gas.what mass of water is consumed by the reaction of carbon dioxide
The equation that represents the process of photosynthesis is:
6CO2+12H2O+light->C6H12O6+6O2+6H2O
Photosynthesis is the process in plants to make their food. This involves the use carbon dioxide to react with water and make sugar or glucose as the main product and oxygen as a by-product. Since we are not given the mass of CO2 in this problem, we assume that we have 1 g of CO2 available. We calculate as follows:
1 g CO2 ( 1 mol CO2 / 44.01 g CO2 ) ( 12 mol H2O / 6 mol CO2 ) ( 18.02 g / 1 mol ) = 0.82 g of H2O is needed
However, if the amount given of CO2 is not one gram, then you can simply change the starting value in the calculation and solve for the mass of water needed.
Final answer:
Photosynthesis involves converting carbon dioxide and water into glucose and oxygen with sunlight. The balanced chemical equation indicates a 6:1 mole ratio of water to glucose. The mass of water consumed would be six times the molecular weight of water times the moles of glucose formed.
Explanation:
Photosynthesis is a fundamental biological process in which green plants use sunlight to convert carbon dioxide (CO₂) and water (H₂O) into glucose (C₆H₁₂O₆) and oxygen (O₂). The balanced chemical equation for photosynthesis is:
6CO₂ + 6H₂O + sunlight → C₆H₁₂O₆ + 6O₂
The question asks about the mass of water consumed in the reaction with carbon dioxide to form glucose during photosynthesis. To determine this, you need to know the mole ratio between water and glucose from the balanced equation, which is 6:1, meaning six molecules of water are needed to produce one molecule of glucose. To find the specific mass of water used, you would multiply the molecular weight of water (18.01528 g/mol) by the number of moles of water consumed (which is typically six times the moles of glucose formed).
If 1.20 moles of an ideal gas occupy a volume of 18.2 L at a pressure of 1.80 atm, what is the temperature of the gas, in degrees Celsius?
-125°C
59.5°C
273°C
32°C
The electron stable state configuration in atoms is best seen in the ______ configuration.
inert gas
full d shell
full f shell
full s shell
Which is expected to have the largest dispersion forces? which is expected to have the largest dispersion forces? c12h26 be cl2 c3h8 f2?
The one I would expect to have the largest dispersion forces would be the largest and heaviest molecule. This is evidenced by the fact that that molecule is a liquid at room temperature while all the others are gases.
C3H8 = This is propane and a gas at room temperature
F2 = Also a gas at room temperature
BeCl2 = This is a solid and forms an extended lattice in the form of Be-Cl-Be bridges therefore dispersion forces are not important
Therefore the answer to this is C12H26 which is a wax and a liquid at room temperature.
Answer:
C12H26
Among the substances listed (C12H26, Be, Cl2, C3H8, F2), the largest dispersion forces are expected in C12H26 due to its larger molecular size and weight. Dispersion forces are temporary shifts in electron density causing attraction between molecules and are much stronger in larger and heavier molecules. Smaller molecules like Cl₂ and F₂ have weaker dispersion forces.
Explanation:The substance expected to have the largest dispersion forces from the ones mentioned (C12H26, Be, Cl2, C3H8, F2) is C12H26 due to its large size and molecular weight. Dispersion forces, also known as London dispersion forces, are temporary shifts in electron density in non-polar molecules that result in attraction between molecules. This is typically stronger in larger and heavier molecules. As C12H26 is a larger, heavier, and more complex molecule than the others listed, it has more electrons, hence more shifting of electron density and stronger resultant dispersion forces.
For other compounds like Cl₂ and F₂, they are gases at room temperature, meaning that their dispersion forces are weaker. This is because dispersion forces influence the boiling and melting points of substances. Larger dispersion forces lead to higher melting and boiling points, which is also why C12H26, a component of diesel and other heavy oils, is a liquid at room temperature.
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What volume of 0.0200 m calcium hydroxide?
A 1.50-g sample of hydrated copper(ii) sulfatewas heated carefully until it had changed completely to anhydrous copper(ii) sulfate () with a mass of 0.957 g. determine the value of x. [this number is called the number of waters of hydration of copper(ii) sulfate. it specifies the number of water molecules per formula unit of in the hydrated crystal.]
Consider KOH and the following information. Hsol = –58 kJ/mol Hhydr of = –336 kJ/mol Hhydr of = –532.7 kJ/mol What is the Hlat rounded to the correct number of significant figures? Use Hsol = –Hlat + Hhydr.
A. –927 kJ/mol
B. –926.7 kJ/mol
C. –811 kJ/mol
D. –810.7 kJ/mol
The total Hhydr is:
Hhydr = – 336 kJ/mol + – 532.7 kJ/mol
Hhydr = - 868.7 kJ/mol
Therefore using the formula Hsol = –Hlat + Hhydr we can get Hlat.
– 58 kJ/mol = – Hlat + - 868.7 kJ/mol
- Hlat = 810.7 kJ/mol
Hlat = - 810.7 kJ/mol
ANSWER:
D. –810.7 kJ/molAnswer:D
Explanation:
Helium has a density of 1.79×10^-4 g/mL at standard temperature and pressure. A balloon has a volume of 6.3 liters. Calculate the mass of helium that it would take to fill the balloon. Be sure to follow significant figure rules when calculating the answer.
A. 35,000g
B. 1.1×10^-3 g
C. 2.8×10^-5 g
D. 1.1g
Write a balanced equation for the oxidation-reduction reaction that occurs when hydrogen peroxide reacts with ferrous ion
The balanced equation for the reaction of hydrogen peroxide with ferrous ions to produce ferric ions and water in an acidic solution is H2O2(aq) + 2H+(aq) + 2Fe2+(aq) → 2H2O(l) + 2Fe3+(aq).
The balanced equation for the oxidation-reduction reaction that occurs when hydrogen peroxide reacts with the ferrous ion (Fe2+) in an acidic solution to produce ferric ion (Fe3+) and water is:
H2O2(aq) + 2H+(aq) + 2Fe2+(aq) → 2H2O(l) + 2Fe3+(aq)
This reaction showcases the oxidizing property of hydrogen peroxide. The ferrous ion (Fe2+) is oxidized to the ferric ion (Fe3+), while the hydrogen peroxide (H2O2) is reduced to water (H2O).
Sheila's measured glucose level one hour after a sugary drink varies according to the normal distribution with μμ = 120 mg/dl and σσ = 20 mg/dl. what is the level l such that there is probability only 0.15 that the mean glucose level of 5 test results falls above l?
Since the sample size is below 30, in this case we use the t statistic. The formula for t score is:
t = (x – u) / (σ / sqrt n)
where,
x = the level l = unknown
u = sample mean = 120 mg / dl
σ = standard deviation = 20 mg / dl
n = sample size or number of results = 5
Using the standard distribution tables for t, we can find the value of t given the probability (P = 0.15) and degrees of freedom (DOF).
t = 1.036
Going back to the formula for t score:
1.036 = (x – 120) / (20 / sqrt 5)
x = 129.27 mg / dl = l
Final answer:
To find the glucose level such that the probability of the mean of 5 tests being above it is 0.15, we calculate the reduced standard deviation for the mean of the tests, find the corresponding z-score for a cumulative probability of 0.85, and apply the formula for the mean's distribution. The level l is found to be 129.267 mg/dl.
Explanation:
The question asks for the level l such that there is only a 0.15 probability that the mean glucose level of 5 test results falls above l, given that Sheila's glucose level after a sugary drink follows a normal distribution with a mean (μ) of 120 mg/dl and a standard deviation (σ) of 20 mg/dl.
To solve for l, we first need to recognize that the distribution of the mean of several test results (in this case, 5) will also be normally distributed, with the same mean but with a reduced standard deviation that is equal to the original standard deviation divided by the square root of the number of tests (σ/√n). For 5 tests, the new standard deviation (σnew) is 20/√5 = 8.9443 mg/dl.
The next step involves determining the z-score that corresponds to a probability of 0.85 (since 1 - 0.15 = 0.85) in the standard normal distribution. Consulting a z-table or using statistical software, we find that the z-score corresponding to 0.85 is approximately 1.036. Using the formula l = μ + z σnew, we calculate:
l = 120 + (1.036)(8.9443) = 120 + 9.267 = 129.267 mg/dl.
Therefore, the level l such that there is a probability of only 0.15 that the mean glucose level of 5 test results falls above l is 129.267 mg/dl.
Research the amount of carbon dioxide generally found in the air and in breath. which has more carbon dioxide? what are some of the other sources of carbon dioxide in air?
Answer:
1- Carbon dioxide in our breath comes from the carbon in our food.
2- All plants need carbon dioxide to survive.
3- About .04 percent of the atmosphere's air is carbon dioxide and 4.4 percent of our breath is carbon dioxide we breathe out more carbon dioxide than we breathe in.
4- Some effects might include combustion with other gasses and it could also potentially kill all life.
Explanation: