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.
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.
Given that each molecule has a diameter of about $3 \times 10^{-10}\ \text{m}$, estimate the total volume occupied by the gas molecules.
Using your answer in (b)(ii), suggest why the assumption in (a) is valid.