Question
Is it possible to increase the temperature of a gas without adding heat to it? Explain.
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Answer
Yes, it is possible to increase the temperature of a gas without adding heat to it, during adiabatic compression the temperature of a gas increases while no heat is given to it. For an adiabatic compression, no heat is given or taken out in adiabatic process. Therefore,$\Delta\text{Q}=0$ According to the first law of thermodynamics, $\Delta\text{Q}=\Delta\text{U}+\Delta\text{W}$ $\Delta\text{U}=-\Delta\text{W}(\Delta\text{Q}=0)$ In compression work is done on the gas, i.e. work done is negativ. Therefore, $\Delta\text{U}=$ positive. Hence, internal energy of the gas increases due to which its temperature increases.
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