Question

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of 27°C. If the work done during the process is 3 kJ, the final temperature will be equal to ______.

(C_v = 20 JK⁻¹)

Options

• 150 K

• 100 K

• 26.85 K

• 295 K

Answer 1

One mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of 27°C. If the work done during the process is 3 kJ, the final temperature will be equal to 150 K.

Explanation:

Work done during adiabatic expansion = C_v(T₂ − T₁)

or −3000 = 20(T₂ − 300) ⇒ T₂ = 150 K