IB Physics SL B 3 5 Ideal Gas Equations Questions

Practise IB Physics SL B.3.5 by applying pV=nRT and pV=NkBT to calculate gas pressure, volume, temperature, moles and particles.

Exam points

Rearrange PV=nRT or PV=NkBT to calculate pressure, volume, temperature, amount, particle number or gas mass using Kelvin and consistent SI units.
Compare gas states and containers to calculate or predict changes in pressure, volume, temperature, amount or mass when conditions or particle number change.
Read pressure–temperature, volume–temperature and pressure–inverse-volume graphs to determine gas quantities, gradients or relationships.
Use PV=nRT and PV=NkBT to connect moles, particles, density or mass with macroscopic gas measurements.

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Study B.3.5—Ideal gas equations conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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The equipment shown in the diagram was used by a student to investigate the variation with volume, of the pressure p of air, at constant temperature. The air was trapped in a tube of constant cross-sectional area above a column of oil.

Figure for Question IB Physics SL B 3 5 Ideal Gas Equations Questions question 1 — IB Physics SL

The pump forces oil to move up the tube decreasing the volume of the trapped air.

The cross-sectional area of the tube is $1.3 \times 10^{-3} \mathrm{~m}^{2}$ and the temperature of air is 300 K . Estimate the number of moles of air in the tube.

$n=\frac{b A}{R T} OR$ correct substitution of one point from the graph

$n=\frac{5 \times 10^{4} \times 1.3 \times 10^{-3}}{8.31 \times 300}=0.026 \approx 0.03$

Answer must be to 1 or 2 SF. Allow ECF from (b).

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IB Physics SL B 3 5 Ideal Gas Equations Questions question 1