Physics 9702 · AS & A Level · Kinetic theory of gases

Kinetic theory of gases — practice question

(a(i))[2]

State what the term ideal gas means.

(a(ii))[2]

Use one basic assumption of the kinetic theory to explain what may be concluded about the potential energy associated with the random motion of molecules in an ideal gas.

(b)

An ideal gas sample has a volume of $0.26\,\text{m}^3$, a pressure of $2.0 \times 10^5\,\text{Pa}$ and a temperature of $290\,\text{K}$. Determine:

(b(i))[2]

the number $N$ of molecules of the gas.

(b(ii))[2]

the average translational kinetic energy $E_K$ for one molecule of the gas.

(b(iii))[2]

the internal energy of the gas. Give your reasoning.

(c)[2]

The volume $V$ of the gas in (b) is now changed while its pressure is kept constant. On Fig. 3.1, sketch how the internal energy $U$ of the gas varies with $V$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: a gas that obeys $pV \propto T$

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