A gas expands in such a manner that its pressure and volume comply with the condition `pV^2 = a` constant .Will the gas cool or get heated on expansion?

Why does a gas gets heated on compression?

If a gas expands at constant temperature

Why a gas is cooled when expanded?

An ideal gas undergoes isobaric expansion at pressure P from volume V_1 to V_2 the work done is :

At a given volume and temperature, the pressure of a gas:

What is the nature of graph between pressure P and volume V for a gas at constant temperature?

What is the relation between pressure P and density rho of a gas at constant temperature?

Which one of the following relationships when graphed does not give a straight line for helium gas? I. K.E. and T at constant pressure and volume II. P v/s V at constant temperature for a constant mass III. V v/s 1/T at constant pressure for a constant mass