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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Thermodynamics

Olympiad workbook · NSEP · Thermodynamics

The molar specific heat of an ideal gas in a certain thermodynamic...

The molar specific heat of an ideal gas in a certain thermodynamic process is

\frac{\alpha}{T}

where

\alpha

is a constant. If the adiabatic exponent is

\gamma=\frac{C_P}{C_V}

, the work done in heating the gas from

T_0

to

n T_0

is

Options

A $\frac{1}{\alpha} \ln n$
B $\alpha \ln n-\frac{(n-1)}{(\gamma-1)} R T_0$
C $\alpha \ln n-(\gamma-1) R T_0$
D $\frac{(n-1)}{(\gamma-1)} R T_0$

Correct answer

B. $\alpha \ln n-\frac{(n-1)}{(\gamma-1)} R T_0$

Step-by-step solution

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