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

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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