Question

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

Answer 1

Yes. When the gas under goes adiabatic compression, its temperature increases, while no heat is given to it.

From First Law of Thermodynamics.

dQ = dU + dW

As dQ = 0 [for adiabatic process]

so, dU = −dW

In compression, work is done on the system So, work done is negative,

i.e. dW = −ve

or dU = +ve

So internal energy of the gas increase due to which its temperature increases.