A quantity of a gas has a volume of 0.185 m3 at 103.5kPa and 28∘C. It is compressed polytropically to 1240kPa and 280∘C. If Cᴘ =1.005 kJ/kg⋅K and Cᴠ=0.715 kJ/kg.K calculate the value of the index of compression, the work done, the change in internal energy and the heat flow.