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Question
Is it possible to increase the temperature of a gas without adding heat to it? Explain.
Solution
Yes, during adiabatic compression the temperature of a gas increases while no heat is given to it.
In adiabatic compression, dQ = 0
∴ From the first law of thermodynamics, dU = dQ – dW
dU = – dw
In compression work is done on the gas i.e., work done is negative.
Therefore, dU = Positive
Hence, the internal energy of the gas increases due to which its temperature increases.
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