A gas of mass $0.23\,\text{g}$ is confined in a cylinder by a piston. The gas is under atmospheric pressure, which is $1.0 \times 10^5\,\text{Pa}$. Fig. 4.1 shows the piston fixed in place by a catch. The diagram carries the labels gas, cylinder, air at atmospheric pressure, piston, heater, and catch. The trapped gas has a volume of $1.9 \times 10^{-4}\,\text{m}^3$. An electrical heater is used to raise the temperature of the trapped gas by $550^{\circ}\text{C}$.
(a(i))[2]
Calculate the energy needed to raise the temperature of the trapped gas by $550^{\circ}\text{C}$.
(a(ii)(1))[2]
Calculate how long it takes the heater to supply the energy found in (a)(i).
(a(ii)(2))[1]
Suggest one reason why, in practice, it takes much longer to raise the temperature of the gas by $550^{\circ}\text{C}$ using the heater.
(b(i))[2]
State and explain the piston’s motion.
(b(ii))[2]
Determine the volume of the gas when the piston comes to rest.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “E=mcΔT” …