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

Kinetic theory of gases — practice question

(a(i))[2]

State the meaning of an ideal gas.

(a(ii))[2]

Use one of the basic assumptions of kinetic theory to explain what can be deduced about the potential energy linked to the random motion of molecules in an ideal gas.

(b(i))[2]

An ideal gas sample with volume $0.26\,\text{m}^3$ has pressure $2.0 \times 10^5\,\text{Pa}$ and temperature $290\,\text{K}$. Determine the number $N$ of molecules in the gas.

(b(ii))[2]

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

(b(iii))[2]

Determine the internal energy of the gas, and explain your reasoning.

(c)[2]

The volume $V$ of the gas in (b) is now changed while the 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: gas that satisfies $pV \propto T$

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