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 = 2 molV = 40 LT = 25 °CP = ?

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

n = 2 molV = 40 LT = 25 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 4 molV = 10 LT = 105 °CP = ?

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

n = 4 molV = 10 LT = 105 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
450 g of CH₄P = 200 kPaT = 30 °CV = ?

What volume V does 450 g of CH₄ occupy at 200 kPa and 30 °C? Treat it as an ideal gas.

m = 450 gM = 16.04 g/molP = 200 kPaT = 30 °CR = 8.314 J/(mol·K)
V = L
4.Medium
400 g of N₂V = 10 LT = 60 °CP = ?

A tank of 10 L contains 400 g of N₂ at 60 °C. Treat it as an ideal gas and find the pressure P.

m = 400 gM = 28.01 g/molV = 10 LT = 60 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
State 1State 2

A fixed amount of N₂ goes from 200 kPa, 20 L, 30 °C to 600 kPa and 190 °C. Find the new volume V2.

P1 = 200 kPaV1 = 20 LT1 = 30 °CP2 = 600 kPaT2 = 190 °C
V2 = L
6.Hard
Ar, M = 39.95 g/molP = 950 kPaT = 10 °Cρ = ?

Find the density ρ of Ar at 950 kPa and 10 °C, treating it as an ideal gas.

M = 39.95 g/molP = 950 kPaT = 10 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 123.9 kPa
  2. 2. P = 1258 kPa
  3. 3. V = 353.5 L
  4. 4. P = 3955 kPa
  5. 5. V2 = 10.19 L
  6. 6. ρ = 16.12 kg/m³

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