Q. The work done during reversible isothermal expansion of one mole of hydrogen gas at $25^\circ C$ from pressure of 20 atmosphere to 10 atmosphere is: (Given R = 2.0 cal K$^{-1}$mol$^{-1}$)

A) 413.14 calories
B) 100 calories
C) 0 calorie
D) – 413.14 calories
Explanation

[Solution by Claude - not from source] $w=-nRT\ln\frac{P_1}{P_2}=-2\times298\times2.303\log2\approx-413.14$ cal (IUPAC sign, work done by the system is negative). (Medium confidence: sign convention.) Answer (4).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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