Grade 10 · Science · Chemistry

10th grade The combined and ideal gas laws worksheet

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The combined and ideal gas laws

Grade 10 Science Worksheet - Building Confidence

NameDate

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

A balloon holds 12.3 L of air at 1 atm and 300 K. Using R = 0.08206 L·atm/(mol·K), how many moles of gas is that, to 0.01 mol, Ari?
A sealed bag holds 10 L of air at 2 atm and 290 K. Using R = 0.08206 L·atm/(mol·K), how many moles of gas is that, to 0.01 mol, Bo?
A bike tire holds 8.21 L of air at 1.5 atm (absolute) and 250 K. Using R = 0.08206 L·atm/(mol·K), how many moles is that, to 0.01 mol, Kira?
4.
Pressure is in pascals and volume in cubic meters. Which value of R fits PV = nRT, Luz?
- 101.325 J/(mol·K)
- 0.08206 J/(mol·K)
- 8.314 J/(mol·K)
5.
Why are there two values of R, 0.08206 and 8.314, Milo?
- They are one constant in two sets of units
- One is for gases and one for liquids
- They come from two different gases
6.
In PV = nRT, what does n stand for, Noah?
- The amount of gas, in moles
- The mass of gas, in grams
- The number of liters
7.
In PV = nRT, which unit must T be in, Pia?
- Either °C or K, since they match
- Kelvins
- Degrees Celsius, as on a thermometer
8.
Which rearrangement of PV = nRT gives n, Tala?
- n = PV ÷ (RT)
- n = PVRT
- n = RT ÷ (PV)
9.
Which rearrangement of PV = nRT gives V, Zee?
- V = nRT ÷ P
- V = nRTP
- V = P ÷ (nRT)
10.
Which rearrangement of PV = nRT gives T, Esme?
- T = PV ÷ (nR)
- T = nR ÷ (PV)
- T = PVnR

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

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)

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

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).

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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