A fluid at 0.7 bar occupying 0.09 m^3 is compressed reversibly to a pressure of 3.5 bar according to a law pvn = constant. The fluid is then heated reversibly at constant volume until the pressure is 4 bar: the specific volume is then 0.5 m3/kg. A reversible expansion according to a law pv2 = constant restores the fluid to its initial state. Sketch the cycle on a p-v diagram and calculate:
(i) the mass of fluid present;
(ii) the value of n in the first process;
(iii) the net work of the cycle.