FRQ — Behaviour of Perfect Gases and Kinetic Theory of Gases

Case study·Hard exam skill (4/5)·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

A gas sample is initially at

1.0\text{ atm}

2.0\text{ L}

and

300\text{ K}

. Step I: it is compressed isothermally to

1.0\text{ L}

. Step II: at this fixed volume, it is heated to

450\text{ K}

Total: 4 marks

(a) Find the pressure after Step I. (1 mark)

(b) Find the pressure after Step II. (1 mark)

(d) State the work done by the gas in Step II. (1 mark)

Your response (optional — you can also work on paper)

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