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

Kinetic theory of gases — practice question

(a)[2]

State the meaning of the term ideal gas.

(b(i))[3]

An ideal gas made of single atoms is inside a cylinder and has a volume of $1.84 \times 10^{-2}\,\text{m}^{3}$ at a pressure of $2.12 \times 10^{7}\,\text{Pa}$. The mass of gas in the cylinder is $3.20\,\text{kg}$. Determine, to three significant figures, the root-mean-square (r.m.s.) speed of the atoms of the gas.

(b(ii)1)[2]

The gas temperature in the cylinder is $22^{\circ}\text{C}$. Determine, to three significant figures, the amount, in mol, of the gas.

(b(ii)2)[2]

Determine, to three significant figures, the mass of a single atom of the gas.

(c)[1]

Use your answer in (b)(ii) part 2 to determine the nucleon number $A$ for an atom of the gas.

(b(ii).1)[2]

Determine, to three significant figures, the amount, in mol, of the gas.

(b(ii).2)[2]

Determine, to three significant figures, the mass of a single atom of the gas.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: The gas satisfies $pV = \text{constant} \times T$

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