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

Kinetic theory of gases — practice question

(a)[2]

State two basic assumptions of the kinetic theory of gases.

(b(i))[2]

Determine an expression for the temperature $T$ of the gas in state $X$, in terms of $n$, $p$ and $V$. Identify any other symbols that you use.

(b(ii))[3]

On Fig. 4.1, sketch how pressure varies with volume as the gas undergoes the three changes. State $X$ is already labelled. Add labels for states $Y$ and $Z$.

(b(iii))[5]

For the change of state from Y to Z, the gas gains internal energy $U$. For the change of state from Z to X, the work done on the gas is $W$. Complete Table 4.1 to show, for each of the three state changes, the gas’s increase in internal energy, the thermal energy transferred to the gas and the work done on the gas, in terms of $p$, $V$, $U$ and $W$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: the particles are in continuous random motion

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