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