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))[1]

State the temperature of absolute zero, in degrees Celsius.

(b(i))[3]

An airtight vessel contains $0.0424\,\text{kg}$ of an ideal gas at $227\,^{\circ}\text{C}$. The gas pressure is $1.37 \times 10^5\,\text{Pa}$ and its volume is $0.640\,\text{m}^3$. Calculate the number of molecules of the gas in the vessel.

(b(ii))[1]

Calculate the mass of one molecule of the gas.

(b(iii))[3]

Calculate the root-mean-square (r.m.s.) speed $v$ of the molecules of the gas.

(c)[2]

As the gas in (b) is cooled slowly to absolute zero, sketch on Fig. 2.1 how the r.m.s. speed of the molecules varies with thermodynamic temperature $T$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: (gas that follows) $pV \propto T$ (for all values of $p$, $V$ and $T$)

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