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

Kinetic theory of gases — practice question

Cuboids P and Q, both made of metal, are in thermal contact with one another.
(a(i))[2]

P and Q are in thermal equilibrium. State the meaning of thermal equilibrium.

(a(ii))[3]

The values for P and Q are listed in Table 3.1. At the start, P and Q are both at the same temperature. P receives $24\,\text{kJ}$ of thermal energy. After a period of time, P and Q are again at the same temperature. The surroundings are perfectly insulated from P and Q. Determine the temperature change $\Delta T$ of Q.

(b(i))[3]

The temperature of the nitrogen gas rises from $0\,^{\circ}\text{C}$ to $210\,^{\circ}\text{C}$. Determine the work done on the gas.

(b(ii))[2]

Determine the value of $N$, the number of nitrogen gas molecules.

(b(iii))[2]

A nitrogen molecule has mass $4.7 \times 10^{-26}\,\text{kg}$. Calculate the root-mean-square (r.m.s.) speed of a nitrogen molecule at $210\,^{\circ}\text{C}$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: P and Q share the same temperature

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