A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³.
(a)Calculate the thermodynamic temperature of the gas.
2022 · Specimen · 9702/04 | Q2
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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.
(b)(i)Show that the new volume of the gas is 4.75 × 10⁻² m³.
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).
(b)(ii)Calculate the increase in internal energy of the gas. Explain your working.
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.
(c)(i)Use this information to calculate the external work done during the expansion of the gas.
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.
(c)(ii)Use the first law of thermodynamics to determine the total thermal energy transferred to the gas. Explain your reasoning.
9702/04/SP/22Cambridge International AS & A Level Physics 9702 · Specimen 2022 · Paper 4 · Question 2