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 = 50 LT = 15 °CP = ?

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

n = 2 molV = 50 LT = 15 °CR = 8.314 J/(mol·K)
P = kPa
2.Easy
n = 3 molV = 25 LT = 30 °CP = ?

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

n = 3 molV = 25 LT = 30 °CR = 8.314 J/(mol·K)
P = kPa
3.Medium
260 g of O₂V = 30 LT = 100 °CP = ?

A tank of 30 L contains 260 g of O₂ at 100 °C. Treat it as an ideal gas and find the pressure P.

m = 260 gM = 32 g/molV = 30 LT = 100 °CR = 8.314 J/(mol·K)
P = kPa
4.Medium
490 g of O₂P = 400 kPaT = 70 °CV = ?

What volume V does 490 g of O₂ occupy at 400 kPa and 70 °C? Treat it as an ideal gas.

m = 490 gM = 32 g/molP = 400 kPaT = 70 °CR = 8.314 J/(mol·K)
V = L
5.Hard
State 1State 2

A fixed amount of O₂ goes from 350 kPa, 2 L, 35 °C to 800 kPa and 90 °C. Find the new volume V2.

P1 = 350 kPaV1 = 2 LT1 = 35 °CP2 = 800 kPaT2 = 90 °C
V2 = L
6.Hard
N₂, M = 28.01 g/molP = 250 kPaT = 0 °Cρ = ?

Find the density ρ of N₂ at 250 kPa and 0 °C, treating it as an ideal gas.

M = 28.01 g/molP = 250 kPaT = 0 °CR = 8.314 J/(mol·K)
ρ = kg/m³

Answer key

  1. 1. P = 95.83 kPa
  2. 2. P = 302.4 kPa
  3. 3. P = 840.2 kPa
  4. 4. V = 109.2 L
  5. 5. V2 = 1.031 L
  6. 6. ρ = 3.083 kg/m³

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