Chemistry, 23.07.2019 13:30, 23jazzy

What is the volume of a gas that exerts a pressure of 457 mm hg if it exerted a pressure of 2.50 atm when its volume was 25.0 ml?

Answers: 1

Show answers

Answers

answered: riveg

$\boxed{{\text{103}}{\text{.94 mL}}}$ of gas exerts a pressure of 457 mm Hg.

Further Explanation:

Ideal gas:

An ideal gas contains a large number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. It is just a theoretical concept, and practically no such gas exists. But gases tend to behave almost ideally at a higher temperature and lower pressure.

Ideal gas law is considered as the equation of state for any hypothetical gas. The expression for the ideal gas equation of gas is as follows:

${\text{PV}}={\text{nRT}}$ …… (1)

Here,

P is the pressure of the gas.

V is the volume of gas.

n denotes the number of moles of gas.

R is the gas constant.

T is the temperature of gas.

Boyle’s law:

It is an experimental gas law that describes the relationship between pressure and volume of the gas. According to Boyle's law, the volume of the gas is inversely proportional to the pressure of the system, provided that the temperature and the number of moles of gas remain constant.

If the temperature and number of moles of gas are constant then the equation (1) will become as follows:

${\text{PV}}={\text{constant}}$ …… (2)

Or it can also be expressed as follows:

${{\text{P}}_1}{{\text{V}}_1}={{\text{P}}_2}{{\text{V}}_2}$ …… (3)

Here,

${{\text{P}}_1}$ is the initial pressure.

${{\text{P}}_2}$ is the final pressure.

${{\text{V}}_1}$ is the initial volume.

${{\text{V}}_2}$ is the final volume.

Rearrange the equation (3) for ${{\text{P}}_2}$ , and we get,

${{\text{P}}_2}=\frac{{{{\text{P}}_1}{{\text{V}}_1}}}{{{{\text{V}}_2}}}$ …… (4)

The conversion factor to convert ${\text{atm}}$ into ${\text{mm Hg}}$ is as follows:

${\text{1 atm}}={\text{760 mm Hg}}$

The value of ${{\text{P}}_1}$ is 2.50 atm.

The value of ${{\text{V}}_1}$ is 25 mL.

The value of ${{\text{P}}_2}$ is 457 mm Hg.

Substitute these values in equation (4).

$\begin{aligned}{{\text{V}}_{\text{2}}}&=\frac{{\left( {{\text{2}}{\text{.50 atm}}}\right)\left({\frac{{760\;{\text{mmHg}}}}{{{\text{1}}\;{\text{atm}}}}}\right)\left({{\text{25 mL}}}\right)}}{{\left( {457\;{\text{mmHg}}}\right)}}\\&= {\text{103}}{\text{.938731 mL}}\\&\simeq {\text{103}}{\text{.94 mL}}\\\end{aligned}$

The final volume of a gas is 103.94 mL.

Learn more:

1. Determine the final pressure of the ideal gas:

2. Chemical bonds in NaCl:

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Ideal gas equation

Keywords: ideal gas, pressure, volume, absolute temperature, equation of state, hypothetical, universal gas constant, moles of gas, initial, final.

answered: Guest

Ithink the answer is 56.

answered: Guest

answers: to make sure that all of the broken pieces of tablet were added to the water, to allow for fair comparison of all three trials, with different particle sizes to avoid experimental error

Other questions on the subject: Chemistry

Chemistry, 22.06.2019 14:00, emilyproce

In the space, show a correct numerical setup for calculating the number of moles of co2 present in 11 grams of co2

Answers: 1

continue

Chemistry, 22.06.2019 20:00, AaronEarlMerringer

What is the molar mass of the anhydrous compound? answer using four significant figures. 36.02 g/mol 120.15 g/mol 156.12 g/mol

Answers: 1

continue

Chemistry, 22.06.2019 20:10, maddie1776

Insoluble sulfide compounds are generally black in color. which of the following combinations could yield a black precipitate? check all that apply. na2s(aq)+kcl(aq) li2s(aq)+pb(no3)2(aq) pb(clo3)2(aq)+nano3(aq) agno3(aq)+kcl(aq) k2s(aq)+sn(no3)4(aq)

Answers: 1

continue

Chemistry, 22.06.2019 20:20, carcon2019

Nitric acid can be formed in two steps from the atmospheric gases nitrogen and oxygen, plus hydrogen prepared by reforming natural gas. in the first step, nitrogen and hydrogen react to form ammonia: (g) (g) (g) in the second step, ammonia and oxygen react to form nitric acid and water: (g) (g) (g) (g) calculate the net change in enthalpy for the formation of one mole of nitric acid from nitrogen, hydrogen and oxygen from these reactions. round your answer to the nearest .

Answers: 3

continue

Do you know the correct answer?

What is the volume of a gas that exerts a pressure of 457 mm hg if it exerted a pressure of 2.50 atm...