Question

Is it possible to expand the gas at constant temperature without absorbing any heat?

Solution

It is not possible to expand the gas at a constant temperature without absorbing any heat. This is because either the gas does the work at the expense of internal energy or heat energy. Since the expansion takes place at a constant temperature, therefore the change in internal energy is zero.
Thus work is done by gas by absorbing the heat.
Alternative answer:
According to first law of thermodynamics,

space space space space space space space increment straight Q space equals space increment straight U plus increment straight W

Since the gas expands at constant temperature,
∴

space space space increment straight U space equals space 0

Hence,

increment straight Q space equals space increment straight W

The gas expands, therefore

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Hence the gas cannot expand at a constant temperature without absorbing any heat.

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Mechanical Properties Of Fluids

Is it possible to expand the gas at constant temperature without absorbing any heat?

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