How do electrons differ from protons and neutrons?



A.


They do not move.


B.


They are larger.


C.


They are not in a fixed position.


D.


They are located in the nucleus

Answers

Answer 1
C) They are not in a fixed position.
:)
Answer 2

Answer:

Option c, They are not in a fixed position.

Explanation:

As per Bohr's model of atomic atoms,

Electrons revolve around around the nucleus in a fixed path or energy level. Electrons revolving in these energy levels do not radiate energy.

Therefore, electrons are not present in a fixed position. They present outside the nucleus.

Mass of protons and neutrons are same whereas electrons are smaller.

Among the given options, options c best describe the difference between electrons from protons and neutrons.


Related Questions

Why are covalent bonds between hydrogen and nitrogen or oxygen polar? see section 2.1 ( page 57) ?

Answers

Polar molecules exhibit an unequal balance of charges between the individual elements of the compound. This is brought about by the large difference in their electronegativities. The H atom has the least amount of electronegativity. Then, it is a known periodic trend, that as you go downwards in a group, electronegativity decreases, and increase as you go from left to right. Thus, you can deduce that the most electronegative elements are found in the upper right corner which includes O, N and F atoms. Any bond created between Hydrogen and any of O, N and F atoms is a polar bond.

Which of the solutions below have the same molar concentration as solution x? check all that apply?

Answers

The molar concentration of any solution is the number of moles of solute present per liter of solution. Therefore, for any solution to have the same molarity as another, it must have the same number of moles per liter. The mathematical expression of this is:

Molar concentration (M) = moles (n) / Liter (L)

please help me asap

Show the correct relationship between altitude and boiling point.

Answers

boiling point is the temp at which a liquid's vapor pressure equals the external pressure. At higher altitudes the external pressure is lower so vapor pressure becomes equal to external pressure at a lower temperature which is why  boiling point decreases with increasing altitude.

 I hope this helps you

A sulfur atom and a sulfur molecule are not identical. what is the difference?

Answers

Atoms and molecules are often confused to be the same terms. But, molecules are the combination of atoms of multiple elements of the same kind and different kind. Atoms are the smallest units of all the element which shows the characteristics of element. This combination to form molecules. A sulfur molecule is composed of eight sulfur atoms.

You are trying to determine the volume of the balloon needed to match the density of the air in the lab. You know that if you can get the balloon's density below this value, it will float. You measure both the temperature in the room as well as the mass of the balloon you will use and find they are 23.5°C and 0.587 grams, respectively. What volume of balloon will generate a density equal to that of the air around it? (Hint: Use the relationship you calculated above to determine the air density at the temperature given)

Answers

The equation to be used are:

PM = ρRT
PV = nRT
where
P is pressure, M is molar mass, ρ is density, R is universal gas constant (8.314 J/mol·K), T is absolute temperature, V is volume and n is number of moles

The density of air at 23.5°C, from literature, is 1.19035 kg/m³. Its molar mass is 0.029 kg/mol.

PM = ρRT
P(0.029 kg/mol) = (1.19035 kg/m³)(8.314 J/mol·K)(23.5+273 K)
P = 101,183.9 Pa

n = 0.587 g * 1 kg/1000 g * 1 mol/0.029 kg = 0.02024 mol
(101,183.9 Pa)V = (0.02024 mol)(8.314 J/mol·K)(23.5+273 K)
Solving for V,
V = 4.931×10⁻⁴ m³
Since 1 m³ = 1000 L
V = 4.931×10⁻⁴ m³ * 1000
V = 0.493 L

The Spirit of America Goodyear blimp has a volume of 2.027×105 ft3.When the blimp is in operation, it is filled with helium gas. If the density of helium at room temperature is 0.179 g/L, calculate the mass of helium in the blimp.


Answers

Answer: 1.027 x 10^6 g= 1027kg
In this question, you are given the volume of the blimp (2.027×10^5 ft^3) and the density of the gas(0.179g/L). To answer this question, you need to convert the volume unit into liter. The calculation would be: 2.027×10^5 ft^3 x 28.3168L/ft3= 57.398 x 10^5L= 5.74x10^6L

Then to find the mass, multiply the volume with the density. The calculation would be: 5.74x10^6L x 0.179g/L= 1.027 x 10^6 g= 1027kg

The mass of helium in the blimps is [tex]\boxed{10.2743{\text{ g}}}[/tex].

Further Explanation:

Density is defined as the mass of the substance per unit volume of the substance. It is represented by the symbol [tex]\rho[/tex]. The density of a substance is calculated as follows:

[tex]\rho = \dfrac{{\text{M}}}{{\text{V}}}[/tex]  

Here,

[tex]\rho[/tex] is the density of the substance.

M is the mass of the substance.

V is the volume of the substance.

The formula to calculate the density of helium is as follows:

[tex]{\text{Density of helium}} = \dfrac{{{\text{Mass of helium}}}}{{{\text{Volume of helium}}}}[/tex]                            …… (1)                                  

Rearrange equation (2) to calculate the mass of helium.

[tex]{\text{Mass of helium}} = \left( {{\text{Density of helium}}} \right)\left( {{\text{Volume of helium}}} \right)[/tex]                …… (2)              

The volume of the blimp is [tex]2.027 \times {10^5}{\text{ f}}{{\text{t}}^3}[/tex]. This is to be converted into L. The conversion factor for this is,

[tex]1{\text{ f}}{{\text{t}}^3} = 28.3168{\text{ L}}[/tex]  

Since the blimp is filled with helium, the volume of the blimp becomes equal to that of helium. Therefore the volume of helium can be calculated as follows:

[tex]\begin{aligned}{\text{Volume of helium}} &= \left( {2.027 \times {{10}^5}{\text{ f}}{{\text{t}}^3}} \right)\left( {\frac{{28.3168{\text{ L}}}}{{1{\text{ f}}{{\text{t}}^3}}}} \right)\\&= 57.3982{\text{ L}}\\\end{aligned}[/tex]  

Substitute 0.179 g/L for the density of helium and 57.3982 L for the volume of helium in equation (2).

[tex]\begin{aligned}{\text{Mass of helium}}&= \left( {{\text{0}}{\text{.179 g/L}}} \right)\left( {{\text{57}}{\text{.3982 L}}} \right)\\&= 10.2743{\text{ g}}\\\end{aligned}[/tex]  

Therefore the mass of helium is 10.2743 g.

Learn more:

Why is density an important property of matter? https://brainly.com/question/1593730 Which element has the greatest density at STP? https://brainly.com/question/898857

Answer details:

Grade: Middle School

Chapter: Density

Subject: Chemistry

Keywords: density, mass, volume, helium, mass of helium, conversion factor, 10.2743 g, 0.179 g/L.

If the design of jewelry requires 0.490 mole of tin, how many grams of tin are needed?

Answers

58.2 g For this problem, you simply need to multiply the number of moles of tin you need by the atomic weight of tin. So looking up the atomic weight, you get 118.71 g/mol, so 118.71 g/mol * 0.490 mol = 58.1679 g Rounding the result to 3 significant figures gives you 58,2 g

Use the mass and volume data to calculate the density of an unknown metal to the nearest hundredth. Mass of unknown metal = 222.50 g Volume of unknown metal = 25.00 What is the density of the unknown metal?

Answers

Answer:

8.90

Explanation:

just did it

8.90g/ml is the density of the unknown metal. Mass per unit volume is the definition of a material's density.

What is density?

Mass per unit volume is the definition of a material's density. Density, or volume per unit volume, is defined as the ratio of mass to volume. It is a way to quantify the amount of "stuff" a given thing contains in relation to its volume (either in cubic metres or cubic centimetres).

In essence, density is an indicator of how closely together matter is packed. The Greek scientist Archimedes is credited with discovering the principle of density, which is simple to calculate if one understands the formula and are familiar with the relevant units.

Density= mass/ volume

Mass of unknown metal = 222.50 g

Volume of unknown metal = 25.00ml

Density= 222.50/ 25.00

        = 8.90g/ml

Therefore, 8.90g/ml is the density of the unknown metal.

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Cellulose, chitin, and peptidoglycan function as structural molecules and withstand pulling and pushing forces well. which structural feature is most directly responsible? see section 5.3 ( page 114) .

Answers

formation of carbs monosaccarides polymerize to form polymers called polysaccharides, joined by glycosidic linkages carbs perform a wide variety of functions ex: structure, basis for other molecules, cell identity, storing chemical energy How do monosaccharide monomers vary? location of carbonyl group (aldose is at end, ketose in middle) number or carbons present (tri,pent, hex), spatial arrangement, linear vs ringed Polysaccharides also known as complex carbs, polymers of monosaccharide monomers simplest polysaccharide is disaccharide (2 monosaccharide monomers) glycosidic linkage a covalent bond that results after a condensation reaction between two hydroxyl groups (OH) location and geometry of these bonds vary widely Starch : plant storage polysaccharide glycogen : animal storage cellulose : plant cell walls chitin : fungi cell walls, animal exoskeletons, some algae peptidoglycan : bacterial cell walls

"what is the probability of finding an electron within one bohr radius of the nucleus"

Answers

your answer is going to be b

Question 25 for each chemical reaction in the table below, decide whether the highlighted reactant is a brønsted-lowry acid, a brønsted-lowry base, or neither.

Answers

According to the Bronsted-Lowry definitions, an acid is any substance that donates hydrogen ions; whereas, a base is any substance that accepts hydrogen ions. 

In the first reaction, water is acting as an acid because it donates a hydrogen ions.

In the second reaction, water is acting as a base because it accepts a hydrogen ion.

In the third reaction, water is again donating a hydrogen ion so it is the acid.

In the fourth reaction, water is acting as a base by accepting the hydrogen ion from the ammonium ion.
Final answer:

In the table, the highlighted reactants NH3 and Ag2CO3 are Brønsted-Lowry bases, whereas the reactant in the electrolysis of a solution of strontium chloride reaction cannot be determined without more information.

Explanation:

In the table, we have the following reactions:

a) NH3 + HC104
b) Ag2CO3 + HNO3
c) electrolysis of a solution of strontium chloride

From the information given, we can determine the type of reactant for each reaction.

a) NH3 is a weak base and HC104 is a strong acid, so NH3 is a Brønsted-Lowry base.
b) Ag2CO3 is a weak base and HNO3 is a strong acid, so Ag2CO3 is a Brønsted-Lowry base.
c) In this reaction, the type of reactant is not specified, so we cannot determine if it is a Brønsted-Lowry acid or base.

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Wine is 14 % (by volume) alcohol. How many milliliters of alcohol are in a 0.750-L bottle of wine?

Answers

0.750l = 750ml

14% of 750ml is 105

therefore, the 750ml bottle of wine has 105ml of alcohol

1. Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller

Answers

Answer:

Sara is taller than Michael.

Explanation:

Height of Sara = 160 cm

Height of Michael = 60 inches

1 inch = 2.54 cm

Height of Micheal = [tex]60 inches=60\times 2.54 cm=152.4 cm[/tex]

160 cm> 152.4 cm

Sara is taller than Michael.

Sara is taller than Micheal

From the question, there are 2.54 centimeters in an inch.

Given this statement, we can convert Sara's height to inches as follows;

2.54 centimeters makes 1 inch

160 centimeters  = 160 centimeters *  1 inch/2.54 centimeters

= 63 inches

Since Micheal is 60 inches tall, Sara is taller than Micheal.

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Write the balanced molecular equation for the neutralization reaction between h2so4 and koh in aqueous solution. phases are optional.

Answers

Final answer:

The balanced molecular equation for the neutralization reaction between sulfuric acid (H2SO4) and potassium hydroxide (KOH) is H2SO4(aq) + 2KOH(aq) → K2SO4(aq) + 2H2O(l). This showcases a typical neutralization reaction, where an acid reacts with a base to produce salt and water.

Explanation:

The neutralization reaction between sulfuric acid (H2SO4) and potassium hydroxide (KOH) results in the formation of water (H2O) and potassium sulfate (K2SO4). The reaction's balanced molecular equation is:

H2SO4(aq) + 2KOH(aq) → K2SO4(aq) + 2H2O(l)

This equation is a clear representation of a neutralization reaction where an acid reacts with a base to produce salt and water. In this specific instance, the acid is H2SO4, the base is KOH, the salt is K2SO4, and, of course, the water is H2O.

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Final answer:

The balanced molecular equation for the neutralization reaction between sulfuric acid (H2SO4) and potassium hydroxide (KOH) is H2SO4 (aq) + 2KOH(aq) → K2SO4 (aq) + 2H2O(l). This reaction is a classic example of a neutralization reaction, where an acid reacts with a base to form salt and water.

Explanation:

The neutralization reaction between H2SO4 (sulfuric acid) and KOH (potassium hydroxide) in aqueous solution can be represented as follows:

H2SO4 (aq) + 2KOH(aq) → K2SO4 (aq) + 2H2O(l)

This resulting equation is balanced, meaning the number of atoms of each element is the same on both sides of the equation. In this case, a base (KOH) and an acid (H2SO4) react to form a salt (K2SO4) and water, which is characteristic of a neutralization reaction.

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Which statement describes a chemical property of oxygen

Answers

Oxygen can combine with a metal to produce a compound
Oxygen gas can be compressed.

Joseph Priestly discovered and described the chemical properties of oxygen. What type of chemist would he be considered today

Answers

The answer is inorganic chemist.

Answer : Inorganic Chemist.

Explanation : When Joseph Priestly discovered and described the chemical properties of oxygen, then he would be considered as inorganic chemist.

As the physical and chemical properties of elements are studied under the branch of inorganic chemistry, therefore he would be considered as an inorganic chemist.

if mass =180kg and volume =90m3, what is the density

Answers

To find the density you must divide the mass by the density.
180kg ÷ 90m³ = 2kg/m³
The density is 2kg/m³

identify properties of metals, metalloids, and nonmetals

Answers

Metals are shiny and hard can bend but are hard to break. Mataloids can be shiny but can shatter and are like non metals. Non meatals shatter and are smooth.

Gerry is looking at salt under a powerful microscope and notices a crystalline structure. What can be known about the salt sample that Gerry is looking at?

Answers

mined salt has sharp edges v s sea salt with rounded edged

Answer:

It shows that the atoms are vibrating in place.

Explanation:

In the crystal, the molecules exhibit a definite position, and they are combined with each other with the help of electrostatic forces. The molecules exhibit certain kind of energy due to which they vibrate in their locations. However, their energy is not that much high to result in overcoming the strong bonding, unless the atoms in the crystals are irradiated or are heated.

Provide a general comparison of the empty space in a solid with that in a liquid as well as

Answers

Assuming that the space within the solid or liquid is vacuum, it is not matter because there is no mass inside. However, there is a volume. The volume inside a solid would have regular straight sides because atoms of a solid is compactly arranged. For liquids, the space could be irregular curves and paths because the atoms in a liquid are free-flowing.

Answer : There is large empty space between the molecule in a gaseous state as compared to the solid and liquid state.

Explanation :

Solid state : In this state, the molecules are arranged in regular and repeating pattern. The molecules are closely packed that means they are fixed and vibrate in place but they can not move from one place to another.  In the solid, there is no empty space present between the molecules.

Liquid state : In this state, the molecules are present in random and irregular pattern. The molecules are closely packed but they can move from one place to another.  In the liquid, there is a some empty space present between the molecules.

Gaseous state : In this state, the molecules are present in irregular pattern. The molecules are not closely packed and they can move freely from one place to another and spread out. In the gaseous, there is large empty space present between the molecules.

insulin is a protein that is used by the body to regulate both carbohydrate and fat metabolism. a bottle contains 475 mL of insulin at a concentration of 30.o mg/mL what is the total mass in the bottle?

Answers

Given: Insulin bottle = 475 mL, Concentration = 30.0 mg/mL We are ask to find the total mass in the bottle.  The formula that we will be using is 475(x) * 30(x) = 1 (x)30(mg/mL)*475(mL) cancel the unit mL= (300*475)mg = 14250 mg

H​2 ​​ and O2 ​​ react to produce H​2O. What is the mass of H2​​O produced when 0.73 g of H​2 ​​ completely reacts with 3.28 g of O2 ​​ ?

Answers

Hydrogen reacts with oxygen based on the following equation:
2 H2 + O2 → 2 H2O

From the periodic table:
molar mass of hydrogen = 1 gram
molar mass of oxygen = 16 grams

From the balanced equation above, we can find that:
4 grams of hydrogen react with 32 grams of oxygen to produce 36 grams of water.

This means that: 0.73 grams of hydrogen require (0.73x32) / 4 = 5.84 grams of oxygen to react with.
Since only 3.28 grams of oxygen are reacting, this means that oxygen is our limiting reagent and that the reaction would stop once the amount of oxygen is consumed.

So, we will base our calculations on oxygen.
mass of water produced from 3.28 grams of oxygen can be calculated as follows:
mass of water = (3.28 x 36) / 32 = 3.69 grams
Final answer:

0.73g of H2 reacts with 3.28g of O2 to produce approximately 3.69g of H2O according to the stoichiometry of the chemical reaction 2H2 + O2 → 2H2O.

Explanation:

The subject of this question is a chemical reaction involving molecular hydrogen (H2) and molecular oxygen (O2) to produce water (H2O). The equation for this reaction is 2H2 + O2 → 2H2O. It implies that 2 moles of hydrogen react with 1 mole of oxygen to form 2 moles of water.

Using molar mass, we can find that 0.73g of H2 is approximately 0.36 moles, and 3.28g of O2 is about 0.205 moles. However, according to the stoichiometry of the reaction, one mole of oxygen should react completely with 2 moles of hydrogen to form 2 moles of water. Thus, in this case, hydrogen is in excess and oxygen is the limiting reactant. Therefore, we can find the mass of water produced by multiplying the number of moles of oxygen (the limiting reactant) by the molar mass of water (18.01528g/mol), which is approximately 3.69 grams.

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90 nitroglycerin (c3h5n3o9) is a powerful explosive. its decomposition may be represented by this reaction generates a large amount of heat and many gaseous products. it is the sudden formation of these gases, together with their rapid expansion, that produces the explosion. (a) what is the maximum amount of o2 in grams that can be obtained from 2.00 × 102 g of nitroglycerin? (b) calculate the percent yield in this reaction if the amount of o2 generated is found to be 6.55 g.

Answers

The reaction for the decomposition of nitroglycerin is:

4 C₃H₅N₃O₉ (l) → 6 N₂ (g) + 12 CO₂ (g) + 10 H₂O (g) + O₂ (g)

a.) The molar mass of C₃H₅N₃O₉ is 227 g/mol. Let's compute for the number of moles nitroglycerin.

Moles of nitroglycerin = 200 g * 1 mol/227 g = 0.881 mol
Moles O₂ produced = 0.881 mol nitroglycerin(1 mol O₂/4 mol nitroglycerin) = 0.22 mol O₂

The molar mass of O₂ is 32 g/mol. So, the corresponding mass would be:
Mass O₂ produced = 0.22 mol O₂(32 g/mol) = 7.048 g O₂

b.) The percent yield is equal to the actual yield divided by the theoretical yield. The amount calculated in part a is the theoretical yield, while the given in part b is the actual yield.

Percent yield = (6.55 g/7.048 g)*100 = 92.93%
Final answer:

The maximum amount of O2 that can be obtained from 227 g of nitroglycerin is 907 grams. The percent yield of O2 in this reaction is 0.72%.

Explanation:

Nitroglycerin decomposes according to the following reaction:

2 C3H5N3O9 → 3 N2 + 5 H2O + 7 CO + 7 C

To determine the maximum amount of O2 that can be obtained from a given amount of nitroglycerin, we need to calculate the molar mass of nitroglycerin and find the stoichiometric ratio between O2 and nitroglycerin. The molar mass of nitroglycerin is approximately 227 g/mol. From the balanced equation, we can see that 2 moles of nitroglycerin produce 7 moles of O2. Therefore, if we have 227 grams of nitroglycerin, we can calculate the amount of O2 produced as follows:

(227 g nitroglycerin) * (7 moles O2 / 2 moles nitroglycerin) * (32 g O2 / 1 mole O2) = 907 g O2

So, the maximum amount of O2 that can be obtained from 227 g of nitroglycerin is 907 grams.

To calculate the percent yield, we compare the actual yield (6.55 g) to the theoretical yield (907 g) and calculate the percentage:

Percent Yield = (Actual Yield / Theoretical Yield) * 100%

Percent Yield = (6.55 g / 907 g) * 100% = 0.72%

What is the probability that four 13c isotopes will be adjacent to each other in benzene? g?

Answers

Final answer:

The probability of four 13C isotopes being adjacent to each other in a benzene molecule, given their natural molar abundance of roughly 1%, is extremely low at 1x10⁻⁸, due to the need for this specific arrangement to occur consecutively.

Explanation:

The question asks about the probability of four 13C isotopes being adjacent to each other in a benzene molecule. Given that the natural molar abundance of 13C is roughly 1%, the probability of any given carbon atom in benzene being 13C is 0.01. Since benzene has a ring structure with 6 carbon atoms, the probability of any specific sequence of four carbon atoms being all 13C can be calculated using the multiplication rule of probability.

To find the probability of four 13C isotopes in a row, we raise the single-event probability (0.01) to the fourth power because we need this event to happen four times consecutively for four specific carbon atoms:

Probability = 0.01⁴ = 0.00000001 or 1x10⁻⁸

This calculation shows that the probability is extremely low, reflecting the rare occurrence of such an event due to the low natural abundance of 13C.

determain the molecular mass of T2 ^17O2. Explain answer to me because I have a lot of questions like this

Answers

The question deals with isotopes and how their masses differ from their normal elemental counterparts.

Here, T represents tritium, which is an isotope of hydrogen with a mass of 3 amu. Similarly, the isotope of oxygen present is ¹⁷O, which means it has a mass of 17 amu.

To determine the mass of this molecule, we do the following calculation:

3 * 2 + 17 * 2
6 + 34 
40

The mass of T₂¹⁷O₂ is 40 amu

How many milliliters of liquid does the larger graduated cylinder contain?

Answers

Final answer:

The volume of liquid in the graduated cylinder is estimated by reading where the bottom of the meniscus falls on the scale, with typical measurements to the nearest 0.1 mL. In the example provided, estimating the volume as 21.6 mL is reasonable based on the description of the meniscus position.

Explanation:

To measure the volume of a liquid in a graduated cylinder, one must carefully read the measurement at the bottom of the meniscus, which is the curve formed by the liquid surface. For accurate measurement, the cylinder should be at eye level, and the scale should be mentally divided based on the smallest marked division, which typically allows considering smaller subdivisions, usually to one-tenth of a milliliter (0.1 mL).

In this scenario, if the meniscus lies between the 21 and 22 mL marks, closer to the 22-mL mark, an estimate of 21.6 mL would be reasonable. The digits 21 are certain, being the last clear markings, and the '.6' is an estimate that is influenced by how the meniscus appears relative to the 21 and 22 mL markings.

Measuring in Graduated Cylinders

It is essential to understand that different people might provide a slightly different estimation, as some might perceive the meniscus to be equally distant between two markings (estimating the tenth place as 5), while others might see it closer to the following mark (estimating as 7). Since the tenth-place digit is already an estimate, going any finer such as hundredths place would be pointless.

Nitrogen (n) atomic number = _____ atomic mass = _____ number of protons = _____ number of neutrons = _____ number of electrons = _____ number of electrons in the valence shell: _____

Answers

Nitrogen, Periodic abbreviation= N
Atomic Number: 7, as it has 7 protons
Atomic Mass: 14.007, so around 7 protons and 7 neutrons depending on isotope type
# Protons: 7
# Neutrons: 7
# Electrons: 7, usually, but not always, equal to # of Protons
Valence Electrons: 5, as with 7 electrons total, 2 would fill the first valence shell, leaving 5 in the valence, or outermost, shell.

How many water molecules are in a block of ice containing 1.75 mol of water (H2O)?

Answers

1.75 mol H2O x (6.022x10^23 molecules H2O / 1 mol H2O) = 1.05x10^24 molecules H2O if you need a further example let me know 

Answer: The number of molecules present in the given moles of water are [tex]1.054\times 10^{24}[/tex]

Explanation:

We are given:

Moles of water = 1.75 moles

According to mole concept:

1 mole of a compound contains [tex]6.022\times 10^{23}[/tex] number of molecules.

So, 1.75 moles of water will contain = [tex]1.75\times 6.022\times 10^{23}=1.054\times 10^{24}[/tex] number of molecules.

Hence, the number of molecules present in the given moles of water are [tex]1.054\times 10^{24}[/tex]

7 seres vivos ejemplo

Answers

7 seres vivos ejemplo means live example series in English!


Hope this helpED!!!️️️

Calculate the number of moles of calcium ions present in a 50.00 mL water sample that has a hardness of 75.0 ppm (hardness due to CaCO3)

Answers

hardness = 75ppm = 75 mg / L

volume = 50 mL =  0.05 L

So, applying hardness formula:

Hardness = mass / volume

so, mass =  hardness x volume = 75 x 0.05 =  3.75 mg = 0.00375 g

So, moles of CaCO3 = moles of Ca2+ ions = mass / molar mass of CaCO3 =  0.00375 / 100.06  =  0.00003747751 moles 

The number of moles of calcium ions present in a 50.00 mL water sample with hardness of 75.0 ppmis [tex]\boxed{0.00003747{\text{ mol}}}[/tex].

Further Explanation:

The hardness of water is calculated with the use of following formula:

[tex]{\text{Hardness}} = \dfrac{{{\text{Mass}}}}{{{\text{Volume}}}}[/tex]                                                                      …… (1)

Since hardness in given problem occurs due to presence of [tex]{\text{CaC}}{{\text{O}}_{\text{3}}}[/tex], the above formula involves mass of [tex]{\text{CaC}}{{\text{O}}_{\text{3}}}[/tex] and volume of [tex]{\text{CaC}}{{\text{O}}_{\text{3}}}[/tex].

Rearrange equation (1) to calculate mass.

[tex]{\text{Mass}} = \left( {{\text{Hardness}}} \right)\left( {{\text{Volume}}} \right)[/tex]                                                       …… (2)

In case of water, 1 ppm is approximately equivalent to 1 mg/L. Therefore hardness becomes 75.0 mg/L.

Volume is given in mL. It is to be converted into L. The conversion factor for this is,

[tex]1{\text{ mL}} = {10^{ - 3}}{\text{ L}}[/tex]  

Therefore volume of water sample can be calculated as follows:

[tex]\begin{aligned}{\text{Volume of water sample}} &= \left( {50.00{\text{ mL}}} \right)\left( {\frac{{{{10}^{ - 3}}{\text{ L}}}}{{1{\text{ mL}}}}} \right) \\&= 0.05{\text{ L}} \\\end{aligned}[/tex]  

Substitute 75.0 mg/L for hardness and 0.05 L for volume in equation (2) to calculate mass of [tex]{\text{CaC}}{{\text{O}}_3}[/tex].

[tex]\begin{aligned}{\text{Mass of CaC}}{{\text{O}}_{\text{3}}} &= \left( {75.0{\text{ mg/L}}} \right)\left( {0.05{\text{ L}}} \right) \\&= 3.75{\text{ mg}} \\\end{aligned}[/tex]  

Mass of [tex]{\text{CaC}}{{\text{O}}_3}[/tex] is to be converted from mg to g. The conversion factor for this is,

[tex]1{\text{ mg}} = {10^{ - 3}}{\text{ g}}[/tex]  

Therefore mass of [tex]{\text{CaC}}{{\text{O}}_3}[/tex] can be calculated as follows:

 [tex]\begin{aligned}{\text{Mass of CaC}}{{\text{O}}_{\text{3}}} &= \left( {3.75{\text{ mg}}} \right)\left( {\frac{{{{10}^{ - 3}}{\text{ g}}}}{{1{\text{ mg}}}}} \right) \\&= 0.00375{\text{ g}} \\\end{aligned}[/tex]

The formula to calculate moles of [tex]{\text{CaC}}{{\text{O}}_3}[/tex] is as follows:

[tex]{\text{Moles of CaC}}{{\text{O}}_{\text{3}}} = \dfrac{{{\text{Mass of CaC}}{{\text{O}}_{\text{3}}}}}{{{\text{Molar mass of CaC}}{{\text{O}}_{\text{3}}}}}[/tex]                                                    …… (3)

Substitute 0.00375 g for mass of [tex]{\text{CaC}}{{\text{O}}_{\text{3}}}[/tex] and 100.08 g/mol for molar mass of    [tex]{\text{CaC}}{{\text{O}}_{\text{3}}}[/tex] in equation (3).

[tex]\begin{aligned}{\text{Moles of CaC}}{{\text{O}}_{\text{3}}} &= \frac{{{\text{0}}{\text{.00375 g}}}}{{{\text{100}}{\text{.08 g/mol}}}} \\&= 0.00003747{\text{ mol}} \\\end{aligned}[/tex]  

Therefore number of calcium ions present in the given water sample is 0.00003747 mol.

Learn more:

Calculate the moles of chlorine in 8 moles of carbon tetrachloride: https://brainly.com/question/3064603 Calculate the moles of ions in the solution: https://brainly.com/question/5950133

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Mole concept

Keywords: CaCO3, mass, volume, hardness, molar mass, moles, mass of CaCO3, 3.75 mg, 0.00375 g, 75.0 ppm, 50.00 mL, 0.00003747 mol

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