Question
Can heat energy be converted into work without a temperature difference?
Solution
No, without a temperature difference, heat energy cannot be converted into work.
According to the second law of thermodynamics, heat energy cannot be converted into work till some heat is rejected into the surroundings.
In order to reject the heat we require a body at a lower temperature and not at the same temperature.
Alternatively:
We know,
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If T1 – T2 = 0, then W = 0
i.e. no heat can be converted into work without a temperature difference.
According to the second law of thermodynamics, heat energy cannot be converted into work till some heat is rejected into the surroundings.
In order to reject the heat we require a body at a lower temperature and not at the same temperature.
Alternatively:
We know,
If T1 – T2 = 0, then W = 0
i.e. no heat can be converted into work without a temperature difference.
