Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Two rigid containers have the same gas at the same temperature. Container A has volume VV and contains NN molecules. Container B has volume V/2V/2 and contains the same number NN of molecules.
Total: 4 marks

(a) Compare the number density in B with that in A. (1 mark)

(b) Compare the average molecular kinetic energies in A and B. (1 mark)

(c) Compare the pressures in B and A. (1 mark)

(d) Give the molecular reason for the pressure comparison. (1 mark)

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cbse-physics-11.u9.t9-2.case.005

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