Question

One gm mol of a diatomic gas $(\gamma = 1.4)$ is compressed adiabatically so that its temperature rises from $27^{o}C$to$127^{o}C$. The work done will be

• A. 2077.5 joules
• B. 207.5 joules
• C. 207.5 ergs
• D. None of the above

Answer 1

Answer: (A)

2077.5 joules

Answer 2

$W = \frac{R}{\gamma - 1}(T_{1} - T_{2})$

$= \frac{8.31 \times \{(273 + 27) - (273 + 127)\}}{1.4 - 1} = - 2077.5\mspace{6mu} joules$