Thermodynamics Question 350

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

Options:

A) 2077.5 joules

B) 207.5 joules

C) 207.5 ergs

D) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ W=\frac{R}{\gamma -1}(T _{1}-T _{2}) $

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



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