9702/04/SP/22 · question 2 of 2 in this topic
A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³.
Calculate the thermodynamic temperature of the gas.
Calculate Show your working. The method can earn marks even when the final value is wrong, and a bare answer often cannot.
Your answer
Suggested time: 3 min
A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³ (temperature found from pV = nRT).
The average kinetic energy E_K of a molecule of the gas is given by the expression E_K = (3/2)kT, where k is the Boltzmann constant and T is the thermodynamic temperature.
The gas is heated at constant pressure so that its temperature rises by 125 K.
Show that the new volume of the gas is 4.75 × 10⁻² m³.
Show The result is given, so every step of the reasoning is what earns the marks.
Your answer
Suggested time: 2 min
A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³. The average kinetic energy E_K of a molecule of the gas is given by E_K = (3/2)kT, where k is the Boltzmann constant and T is the thermodynamic temperature. The gas is heated at constant pressure so that its temperature rises by 125 K (the new volume is 4.75 × 10⁻² m³).
Calculate the increase in internal energy of the gas. Explain your working.
Explain Give reasons, not just what happens. Each distinct reason is usually worth a mark.
Your answer
Suggested time: 5 min
A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³. The gas is heated at constant pressure so that its temperature rises by 125 K and its volume becomes 4.75 × 10⁻² m³.
Use this information to calculate the external work done during the expansion of the gas.
Using You must use the thing it names. An answer that reaches the right value another way may not score.
Your answer
Suggested time: 3 min
A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa. The gas is heated at constant pressure so that its temperature rises by 125 K, its volume increasing from 3.80 × 10⁻² m³ to 4.75 × 10⁻² m³, with a calculated increase in internal energy and external work done.
Use the first law of thermodynamics to determine the total thermal energy transferred to the gas. Explain your reasoning.
Explain Give reasons, not just what happens. Each distinct reason is usually worth a mark.
Your answer
Suggested time: 3 min
9702/04/SP/22Cambridge International AS & A Level Physics 9702 · Specimen 2022 · Paper 4 · sit the whole paper