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

Kinetic theory of gases — practice question

(a)[2]

The kinetic theory of gases rests on several assumptions about gas molecules. State the assumption that concerns the volume of the molecules of the gas.

(b(i))[3]

An ideal gas fills a volume of $2.40 \times 10^{-2}\ \text{m}^3$ at a pressure of $4.60 \times 10^{5}\ \text{Pa}$ and a temperature of $23^{\circ}\text{C}$. Calculate the number of molecules in the gas.

(b(ii))[3]

Given that each molecule has a diameter of about $3 \times 10^{-10}\ \text{m}$, estimate the total volume occupied by the gas molecules.

(c)[1]

Using your answer in (b)(ii), suggest why the assumption in (a) is valid.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: combined volume of the molecules is negligible

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