One mole of an ideal gas at a temperature of undergoes a reversible isothermal…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

One mole of an ideal gas at a temperature of 300 K300\,\text{K} undergoes a reversible isothermal expansion from an initial volume of 2.0 L2.0\,\text{L} to a final volume of 6.0 L6.0\,\text{L}. Take R=8.314 J mol−1 K−1R = 8.314\,\text{J\,mol}^{-1}\,\text{K}^{-1}. (i) Calculate the mechanical work done by the gas during this expansion, expressing your answer in joules. (ii) Find the quantity of heat exchanged with the surroundings during the process and state its algebraic sign. (iii) What is the change in internal energy of the gas? Give a brief reason for your answer. (iv) Express the magnitude of heat exchanged in kilojoules correct to two significant figures.

Related theory

Browse the problem library