Practice Ideal Gas Law in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The ideal gas law relates the pressure, volume, temperature, and amount of an ideal gas in one equation.

If you squeeze a gas, heat it, or add more particles, the other gas properties must adjust in a predictable way.

Showing a random 20 of 50 problems.

Example 1

medium

A sealed rigid tank of gas at

300 \text{ K}

reads

150000 \text{ Pa}

. On a hot day it reaches

360 \text{ K}

. Find the new pressure.

Example 2

medium

A gas at

300 \text{ K}

and

0.6 \text{ m}^3

is heated at constant pressure until it occupies

1.0 \text{ m}^3

. Find the new temperature.

Example 3

hard

Two rigid tanks at the same temperature: tank A (

0.01 \text{ m}^3

500000 \text{ Pa}

) and tank B (

0.04 \text{ m}^3

100000 \text{ Pa}

). A valve is opened. Find the final pressure.

Example 4

easy

At STP (

T=273 \text{ K}

P=101325 \text{ Pa}

), one mole of ideal gas occupies approximately what volume?

Example 5

medium

Find the temperature of

2 \text{ mol}

of gas at

150000 \text{ Pa}

0.04 \text{ m}^3

. (

R=8.31

)

Example 6

medium

A gas at

P_1=120000 \text{ Pa}

V_1=0.4 \text{ m}^3

T_1=300 \text{ K}

changes to

V_2=0.2 \text{ m}^3

T_2=450 \text{ K}

. Find

P_2

Example 7

medium

A gas does work expanding from

0.02 \text{ m}^3

0.05 \text{ m}^3

at constant pressure

150000 \text{ Pa}

. Find

W

Example 8

easy

PV = nRT

, what happens to pressure if you double the number of moles at fixed

V

and

T

Example 9

medium

2 \text{ mol}

of gas at

300 \text{ K}

is sealed in a rigid

0.05 \text{ m}^3

tank. Find

P

. (

R=8.31

)

Example 10

easy

A gas at

100000 \text{ Pa}

0.02 \text{ m}^3

250 \text{ K}

is heated to

500 \text{ K}

at constant volume. Find the new pressure.

Example 11

easy

How many moles of gas occupy

V=0.01 \text{ m}^3

P=300000 \text{ Pa}

and

T=300 \text{ K}

? (

R=8.31

)

Example 12

easy

At constant temperature, a gas at

50000 \text{ Pa}

and

4 \text{ m}^3

is compressed to

2 \text{ m}^3

. Find the new pressure.

Example 13

medium

A weather balloon at

0.005 \text{ m}^3

100000 \text{ Pa}

290 \text{ K}

rises to

40000 \text{ Pa}

and

232 \text{ K}

. Find

V_2

Example 14

easy

At constant pressure, a gas at

200 \text{ K}

occupies

0.3 \text{ m}^3

. Cooled to

100 \text{ K}

, find the new volume.

Example 15

easy

A gas has

n=2 \text{ mol}

T=300 \text{ K}

V=0.05 \text{ m}^3

. Find pressure (

R=8.31

Example 16

easy

At constant pressure, a gas at

300 \text{ K}

occupies

0.6 \text{ m}^3

. Heated to

600 \text{ K}

, find the new volume.

Example 17

easy

Convert

77^\circ\text{C}

to kelvin.

Example 18

medium

Find the volume of

0.5 \text{ mol}

of gas at

500 \text{ K}

and

50000 \text{ Pa}

. (

R=8.31

)

Example 19

medium

A sealed rigid bottle at

290 \text{ K}

reads

200000 \text{ Pa}

. In the sun it warms to

348 \text{ K}

. Find the new pressure.

Example 20

medium

A gas at

P_1=200000 \text{ Pa}

V_1=0.1 \text{ m}^3

T_1=400 \text{ K}

is moved to

V_2=0.05 \text{ m}^3

T_2=300 \text{ K}

. Find

P_2

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Related Concepts

Pressure Temperature