Q.
In an adiabatic expansion, the temperature of one mole of an ideal monatomic gas (γ = 5/3) decreases from 60 K to 50 K. The work done by the gas in the process is:
(Take the universal gas constant as R = 8.3 J mol⁻¹ K⁻¹)
A) 166 J
B) 41.5 J
C) 83 J
D) 124.5 J
Explanation
[Solution from source] For an adiabatic process $W=nR(T_1-T_2)/(\gamma-1)=8.3\times10/(2/3)=124.5$ J, equal to the fall in internal energy $\frac32R\Delta T$. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.