One kg of gas is compressed polytropically from \(160 \mathrm{kPa}\) pressure and \(280 \mathrm{~K}\) temperature to 760 \(\mathrm{kPa}\). The compression is according to law \(\mathrm{PV}^{1.3}\) \(=\) Constant. Find: (i) Final Temperature (ii) work done (iii) change in internal energy (iv) amount of heat transfer, and (v) change in enthalpy. Take \(\mathrm{R}=0.287 \mathrm{KJ} / \mathrm{KgK}\) and \(\mathrm{Cp}=1.002 \mathrm{KJ} / \mathrm{KgK}\).