Thermodynamics and ThermochemistrymediumMCQ SINGLE

One mole of a real gas is subjected to a process from (2 bar, 30 L, 300 K) to (2 bar, 40 L, 500 K). Thermodynamics and Thermochemistry Chemistry Question

Question

One mole of a real gas is subjected to a process from (2 bar, 30 L, 300 K) to (2 bar, 40 L, 500 K). The molar heat capacity of gas at constant volume and constant pressure are 25 and 40 J/K-mol, respectively. What is the change in internal energy of the gas in this process?

Answer: A

💡 Solution & Explanation

The change in internal energy strictly depends on temperature and constant-volume heat capacity: $\Delta U = n C_v \Delta T = 1 \text{ mol} \times 25 \text{ J/K-mol} \times (500 - 300) \text{ K} = 25 \times 200 = 5000 \text{ J}$.

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