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 = 0.5 molV = 5 LT = 10 °CP = ?

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

n = 0.5 molV = 5 LT = 10 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 1.5 molV = 20 LT = 90 °CP = ?

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

n = 1.5 molV = 20 LT = 90 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
400 g of CH₄P = 500 kPaT = 55 °CV = ?

What volume V does 400 g of CH₄ occupy at 500 kPa and 55 °C? Treat it as an ideal gas.

m = 400 gM = 16.04 g/molP = 500 kPaT = 55 °CR = 8.314 J/(mol·K)
V = L
4.Medium
120 g of CH₄V = 5 LT = 75 °CP = ?

A tank of 5 L contains 120 g of CH₄ at 75 °C. Treat it as an ideal gas and find the pressure P.

m = 120 gM = 16.04 g/molV = 5 LT = 75 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
State 1State 2

A fixed amount of Ar goes from 200 kPa, 2 L, 35 °C to 150 kPa and 150 °C. Find the new volume V2.

P1 = 200 kPaV1 = 2 LT1 = 35 °CP2 = 150 kPaT2 = 150 °C
V2 = L
6.Hard
He, M = 4.003 g/molP = 700 kPaT = 100 °Cρ = ?

Find the density ρ of He at 700 kPa and 100 °C, treating it as an ideal gas.

M = 4.003 g/molP = 700 kPaT = 100 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 235.4 kPa
  2. 2. P = 226.4 kPa
  3. 3. V = 136.1 L
  4. 4. P = 4331 kPa
  5. 5. V2 = 3.662 L
  6. 6. ρ = 0.9032 kg/m³

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