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 = 50 LT = 40 °CP = ?

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

n = 0.5 molV = 50 LT = 40 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 5 molV = 15 LT = 60 °CP = ?

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

n = 5 molV = 15 LT = 60 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
150 g of CH₄P = 550 kPaT = 50 °CV = ?

What volume V does 150 g of CH₄ occupy at 550 kPa and 50 °C? Treat it as an ideal gas.

m = 150 gM = 16.04 g/molP = 550 kPaT = 50 °CR = 8.314 J/(mol·K)
V = L
4.Medium
380 g of N₂V = 20 LT = 25 °CP = ?

A tank of 20 L contains 380 g of N₂ at 25 °C. Treat it as an ideal gas and find the pressure P.

m = 380 gM = 28.01 g/molV = 20 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
State 1State 2

A fixed amount of CH₄ goes from 350 kPa, 5 L, 40 °C to 550 kPa and 130 °C. Find the new volume V2.

P1 = 350 kPaV1 = 5 LT1 = 40 °CP2 = 550 kPaT2 = 130 °C
V2 = L
6.Hard
O₂, M = 32 g/molP = 650 kPaT = 120 °Cρ = ?

Find the density ρ of O₂ at 650 kPa and 120 °C, treating it as an ideal gas.

M = 32 g/molP = 650 kPaT = 120 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 26.04 kPa
  2. 2. P = 923.3 kPa
  3. 3. V = 45.68 L
  4. 4. P = 1681 kPa
  5. 5. V2 = 4.096 L
  6. 6. ρ = 6.363 kg/m³

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