DP Physics (first assessment 2025)

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Question EXE.2.SL.TZ0.8

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Date Example questions Example questions Marks available [Maximum mark: 7] Reference code EXE.2.SL.TZ0.8
Level SL Paper 2 Time zone TZ0
Command term Calculate, Explain, Outline Question number 8 Adapted from N/A
8.
[Maximum mark: 7]
EXE.2.SL.TZ0.8

A sample of air in a sealed container has a pressure of 1.8 × 105 Pa and a density of 2.0 kg m−3.

(a)

Calculate the average translational speed of air molecules.

[2]

Markscheme

1.8×105=13×2.0×v2  ✓ 

v=520 «m s−1»  ✓ 

(b)

The air is a mixture of nitrogen, oxygen and other gases. Explain why the component gases of air in the container have different average translational speeds.

[3]

Markscheme

Average kinetic energy of the molecules is determined by the temperature only ✓

The mass of a molecule is different for each component gas ✓

From Ek=12mv2, the same Ek and different mass implies a different average velocity  ✓

(c)

The temperature of the sample is increased without a change in pressure. Outline the effect it has on the density of the gas.

[2]

Markscheme

ALTERNATIVE 1

The average translational speed increases «because T increases» ✓

From P=13ρv2, the density decreases «to keep P constant»  ✓ 


ALTERNATIVE 2

From the ideal gas law, the volume of the gas increases ✓

Since ρ=mv and m is constant, the density decreases  ✓