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

The correct option is B + 166J
The 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 J

Chemistry

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