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,
Since the gas expands at constant temperature,
∴
Hence,
The gas expands, therefore
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Hence the gas cannot expand at a constant temperature without absorbing any heat.
Thus work is done by gas by absorbing the heat.
Alternative answer:
According to first law of thermodynamics,
Since the gas expands at constant temperature,
∴
Hence,
The gas expands, therefore
Hence the gas cannot expand at a constant temperature without absorbing any heat.
