Table of contents

7. Gases

The Ideal Gas Law

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Multiple Choice

What is the volume of 1.00 mole of an ideal gas at 1.00 atm pressure and 0°C?

20.0 L

22.4 L

18.0 L

24.0 L

Verified step by step guidance

Start by recalling the Ideal Gas Law, which is expressed as

P V = n R T

, where

P

is pressure,

V

is volume,

n

is the number of moles,

R

is the ideal gas constant, and

T

is temperature.

Identify the values given in the problem:

n =1.00

mole,

P =1.00

atm, and

T =0

°C. Convert the temperature to Kelvin by adding 273.15, so

T =273.15

Use the ideal gas constant

R =0.0821

L·atm/(mol·K), which is appropriate for the units of pressure in atm and volume in liters.

Rearrange the Ideal Gas Law to solve for volume:

V = \frac{n R T}{P}

. Substitute the known values into the equation.

Calculate the volume using the rearranged equation. This will give you the volume of 1.00 mole of an ideal gas at 1.00 atm pressure and 0°C.

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