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First Law of Thermodynamics

During the ex...

Question

During the expansion of an ideal gas, the work done by the gas is $100 J$ and the heat capacity of the process is found to be $+ 2 J /^{o} C$ . Find $△ U$ of the gas if the final temperature of the gas is $25^{o} C$ higher than its initial temperature.

A

- 40 J

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B

- 50 J

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C

- 80 J

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D

- 30 J

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Solution

The correct option is B $- 50 J$
From first law of thermodynamic
$△ U = q + w$
$q = + 2 J /^{o} C = 2 \times 25 = 50 J$
$W = - 100 J$
So, $△ U = 50 - 100 = - 50 J$
Hence, $△ U = - 50 J$

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