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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

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

  1. A balloon holds 0.5 mol of air at 1 atm and 25 °C. Using R = 0.08206 L·atm/(mol·K), what is its volume, to 0.01 L, Bo?

  2. A sealed bag holds 2 mol of air at 1 atm and 10 °C. Using R = 0.08206 L·atm/(mol·K), what is its volume, to 0.01 L, Esme?

  3. A balloon holds 0.25 mol of air at 0.95 atm and 37 °C. Using R = 0.08206 L·atm/(mol·K), what is its volume, to 0.01 L, Jun?

  4. A balloon holds 1.00 mol of air at 1.00 atm and 20 °C. Using R = 0.08206, what is its volume, Kira?

    • 24.06 L
    • 2437.25 L, using 8.314
    • 1.64 L, using 20 instead of 293.15
  5. A bike tire holds 2.0 L of air at 3.0 atm (absolute) and 27 °C. Using R = 0.08206, how many moles of air, Luz?

    • 0.24 mol
    • 0.0024 mol, using 8.314
    • 2.71 mol, using 27 instead of 300.15
  6. Which setup finds V₂ when pressure, volume and temperature all change, Noah?

    • V₂ = V₁ × T₂ ÷ T₁, leaving out the pressures
    • V₂ = P₁V₁T₂ ÷ (P₂T₁)
    • V₂ = P₂V₁T₁ ÷ (P₁T₂)
  7. A 4.0 L balloon at 1.0 atm and 300 K goes to 0.50 atm and 250 K. What is its new volume, Pia?

    • 6.67 L
    • 1.67 L
    • 9.6 L
  8. Why must the temperatures in the combined gas law be in kelvins, Ren?

    • Celsius values make the volumes come out too small
    • Its ratios need a temperature scale with a true zero
    • Kelvins keep the pressure fixed
  9. In P₁V₁/T₁ = P₂V₂/T₂, if T stays fixed, which law is left, Tala?

    • Gay-Lussac's law, P₁/T₁ = P₂/T₂
    • Charles's law, V₁/T₁ = V₂/T₂
    • Boyle's law, P₁V₁ = P₂V₂
  10. In P₁V₁/T₁ = P₂V₂/T₂, if P stays fixed, which law is left, Zee?

    • Charles's law, V₁/T₁ = V₂/T₂
    • Boyle's law, P₁V₁ = P₂V₂
    • Gay-Lussac's law, P₁/T₁ = P₂/T₂
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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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