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

Kinetic theory of gases — practice question

(a(i))[1]

State what the Avogadro constant means.

(a(ii))[1]

State the connection between the Avogadro constant $N_A$, the molar gas constant $R$ and the Boltzmann constant $k$.

(b(i))[4]

Two ideal-gas samples, $X$ and $Y$, are both at thermodynamic temperature $T$. Sample $X$ has volume $V$ and contains $N$ molecules, each with mass $m$. Sample $Y$ has volume $2V$ and contains $2N$ molecules, each with mass $2m$. Fill in Table 3.1 by writing expressions, in terms of some or all of $N$, $m$, $T$, $V$ and the constants in (a)(ii), for the quantities shown.

(b(ii))[2]

The temperature of sample $X$ is now changed. On Fig. 3.1, sketch how the root-mean-square (r.m.s.) speed of the gas molecules varies with thermodynamic temperature.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Particles per unit amount of substance

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI