Ideal gas law worksheet with answers

Free printable Ideal gas law worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
n = 3 molV = 25 LT = 50 °CP = ?

A rigid tank holds an ideal gas. Find its pressure P.

n = 3 molV = 25 LT = 50 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 3 molV = 15 LT = 70 °CP = ?

A rigid tank holds an ideal gas. Find its pressure P.

n = 3 molV = 15 LT = 70 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
440 g of ArP = 550 kPaT = 70 °CV = ?

What volume V does 440 g of Ar occupy at 550 kPa and 70 °C? Treat it as an ideal gas.

m = 440 gM = 39.95 g/molP = 550 kPaT = 70 °CR = 8.314 J/(mol·K)
V = L
4.Medium
70 g of HeV = 50 LT = 5 °CP = ?

A tank of 50 L contains 70 g of He at 5 °C. Treat it as an ideal gas and find the pressure P.

m = 70 gM = 4.003 g/molV = 50 LT = 5 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
State 1State 2

A fixed amount of He goes from 300 kPa, 20 L, 20 °C to 450 kPa and 240 °C. Find the new volume V2.

P1 = 300 kPaV1 = 20 LT1 = 20 °CP2 = 450 kPaT2 = 240 °C
V2 = L
6.Hard
CH₄, M = 16.04 g/molP = 1000 kPaT = 80 °Cρ = ?

Find the density ρ of CH₄ at 1000 kPa and 80 °C, treating it as an ideal gas.

M = 16.04 g/molP = 1000 kPaT = 80 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 322.4 kPa
  2. 2. P = 570.6 kPa
  3. 3. V = 57.13 L
  4. 4. P = 808.8 kPa
  5. 5. V2 = 23.34 L
  6. 6. ρ = 5.463 kg/m³

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