Consider a thermodynamic process where integral energy $$U = A{P^2}V$$ (A = constant). If the process is performed adiabatically, then

One mole of a diatomic ideal gas undergoes a process shown in P-V diagram. The total heat given to the gas (ln 2 = 0.7) is

One mole of an ideal monoatomic gas expands along the polytrope PV³ = constant from V₁ to V₂ at a constant pressure P₁. The temperature during the process is such that molar specific heat $${C_V} = {{3R} \over 2}$$. The total heat absorbed during the process can be expressed as