Physics 9702 · AS & A Level · Equation of state

Equation of state — practice question

This question is about the ideal-gas equation of state, $pV = nRT$, with $R$ denoting the molar gas constant.
(a(i))[1]

State the meaning of the symbol $n$.

(a(ii))[1]

State the meaning of the symbol $T$.

(b)[3]

An ideal gas is contained in a vessel with volume $2.4 \times 10^{3}\ \text{cm}^{3}$ and pressure $4.9 \times 10^{5}\ \text{Pa}$. The gas temperature is $100^{\circ}\text{C}$. Show that the number of molecules in the vessel is $2.3 \times 10^{23}$.

(c)[3]

Use the data from (b) to estimate the average separation between molecules in the gas.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: the number of moles or the amount of substance

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