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Is it possible to increase the temperature of a gas without adding heat to it? Explain.

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Yes. When the gas undergoes adiabatic compression, its temperature increases.

dQ = dU + dW

As dQ = 0 (adiabatic process)

so dU = -dW

In compression, work is done on the system So, dW = -ve

⇒dU = + ve

So internal energy of the gas increases, i.e. its temperature increases.

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