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 = 1 molV = 20 LT = 120 °CP = ?

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

n = 1 molV = 20 LT = 120 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 1.5 molV = 20 LT = 45 °CP = ?

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

n = 1.5 molV = 20 LT = 45 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
20 g of HeP = 250 kPaT = 65 °CV = ?

What volume V does 20 g of He occupy at 250 kPa and 65 °C? Treat it as an ideal gas.

m = 20 gM = 4.003 g/molP = 250 kPaT = 65 °CR = 8.314 J/(mol·K)
V = L
4.Medium
420 g of N₂V = 20 LT = 85 °CP = ?

A tank of 20 L contains 420 g of N₂ at 85 °C. Treat it as an ideal gas and find the pressure P.

m = 420 gM = 28.01 g/molV = 20 LT = 85 °CR = 8.314 J/(mol·K)
P = kPa
5.Hard
State 1State 2

A fixed amount of CH₄ goes from 100 kPa, 20 L, 25 °C to 450 kPa and 180 °C. Find the new volume V2.

P1 = 100 kPaV1 = 20 LT1 = 25 °CP2 = 450 kPaT2 = 180 °C
V2 = L
6.Hard
N₂, M = 28.01 g/molP = 300 kPaT = 20 °Cρ = ?

Find the density ρ of N₂ at 300 kPa and 20 °C, treating it as an ideal gas.

M = 28.01 g/molP = 300 kPaT = 20 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 163.4 kPa
  2. 2. P = 198.4 kPa
  3. 3. V = 56.19 L
  4. 4. P = 2232 kPa
  5. 5. V2 = 6.755 L
  6. 6. ρ = 3.448 kg/m³

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