Long answer·Hard exam skill (4/5)·Calculator allowed
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
One mole of an ideal gas is initially at and . It is compressed at constant pressure until its volume becomes two-thirds of the initial volume. It is then heated at constant volume until its pressure becomes . Take .
Total: 4 marks
(a) Find the initial volume. (1 mark)
(b) Find the temperature after constant-pressure compression. (1 mark)
(c) Find the final temperature after constant-volume heating. (1 mark)
(d) Find the work done on the gas during compression. (1 mark)
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