Question

At constant volume, 4 mol of an ideal gas when heated form 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is ______.

Options

• 0.10 J K^–1 mol^–1

• 0.25 J K^–1 mol^–1

• 6.25 J K^–1 mol^–1

• 8.75 J K^–1 mol^–1

Answer 1

At constant volume, 4 mol of an ideal gas when heated form 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is 6.25 J K^–1 mol^–1.

Explanation:

At constant volume, q_v = ΔU = C_m × n × ΔT

5000 = C_m × 4 × (500 – 300)

C_m = 6.25 J K^–1 mol^–1