Question

# 1 mole of an ideal gas with $$\gamma =1.4$$ is adiabatically compressed so that its temperature rises from $$27^{o}C$$ to $$35^{o}C$$. The change in internal energy of the gas is (R$$=$$ 8.3 Joule mole$$^{-1} K^{-1}$$)

A
-166J
B
+ 166J
C
-168 J
D
+ 168

Solution

## The correct option is B + 166JThe change in internal energy is given by,$$U = \dfrac{nR \Delta T}{\gamma - 1}$$$$U = \dfrac{1 \times 8.314 (35 -27)}{1.4-1}$$Thus, U = 166 JChemistry

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