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10th grade The combined and ideal gas laws worksheet

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The combined and ideal gas laws

Grade 10 Science Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. A 5 L balloon at 101.3 kPa and 20 °C rises to where it is 80 kPa and 5 °C. What is its new volume, to 0.01 L, Esme?

  2. A 2 L sealed bag at 1 atm and 25 °C ends at 2.5 atm and 50 °C. What is its new volume, to 0.01 L, Jun?

  3. A 3 L balloon at 100 kPa and 27 °C ends at 150 kPa and 127 °C. What is its new volume, to 0.01 L, Kira?

  4. Ren uses R = 8.314 with pressure in atm and volume in liters. Which reply fits, Luz?

    • Agree: R is 8.314 in any units
    • Disagree: with L and atm, R is 0.08206
    • Agree, if the temperature is written in °C

  5. Pia says PV = nRT gives about 22.4 L for 1 mol of gas at 0 °C and 1 atm. Which reply fits, Milo?

    • Disagree: each gas has its own molar volume at 0 °C
    • Agree: V = 1 × 0.08206 × 273.15 ÷ 1 = 22.41 L
    • Disagree: PV = nRT gives 8.314 L

  6. A 1.00 L sealed flask holds 1.80 g of CO₂ at 1.00 atm and 27 °C. What molar mass does PV = nRT give, Pia?

    • About 44.3 g/mol, close to CO₂'s 44.01
    • About 4.0 g/mol, using 27 instead of 300.15
    • About 4492 g/mol, using 8.314

  7. A 2.00 L balloon holds 2.33 g of N₂ at 1.00 atm and 20 °C. What molar mass does PV = nRT give, Tala?

    • About 2839 g/mol, using 8.314
    • About 1.9 g/mol, using 20 instead of 293.15
    • About 28.0 g/mol, close to N₂'s 28.02

  8. Two balloons have the same volume, pressure and temperature: one of O₂, one of CO₂. Which holds more moles, Zee?

    • Neither: n = PV ÷ (RT) is the same for both
    • The CO₂, since it is heavier
    • The O₂, since it is lighter

  9. Which change doubles a gas's volume at fixed pressure, Ari?

    • Halving its kelvin temperature
    • Doubling its kelvin temperature
    • Doubling its Celsius temperature

  10. A sealed, rigid box of gas at 10 °C is warmed to 20 °C. By about what factor does its pressure rise, Bo?

    • 2, from 20 ÷ 10
    • About 1.035, from 293.15 ÷ 283.15
    • About 0.97, from 283.15 ÷ 293.15
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10th grade The combined and ideal gas laws worksheet – printable
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About this worksheet

The combined and ideal gas laws. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use PV = nRT with R = 0.08206 L·atm/(mol·K) to find n, V or T, with T in kelvins.
  • I can use the combined law P₁V₁/T₁ = P₂V₂/T₂ and reduce it to Boyle, Charles or Gay-Lussac.
  • I can pick the R that matches the units, and find a molar mass from gas data.

Standard: none (TX, FL)

Words to know

ideal gas law: PV = nRT

gas constant R: 0.08206 L·atm/(mol·K), or 8.314 J/(mol·K) in SI units

combined gas law: P₁V₁/T₁ = P₂V₂/T₂ for a fixed amount of gas

Common mistakes

Your child turned the fraction over. From PV = nRT, n = PV ÷ (RT).

Your child used Celsius in a gas law. PV = nRT and the combined law need kelvins: add 273.15.

Your child used R in the wrong units. With liters and atm use 0.08206 L·atm/(mol·K); with pascals and cubic meters use 8.314 J/(mol·K).

Questions parents ask

What is the most common mistake with the combined and ideal gas laws?

Your child turned the fraction over. From PV = nRT, n = PV ÷ (RT).

Are these 10th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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