Q3: The gases in the cylinder of an internal combustion engine have a specific internal energy of 800 kJ/kg and specific volume of 0.06 m3 /kg at the beginning of expansion. The expansion of the gases may be assumed to take place according to a reversible law, pv"= constant, from 55 bar to 1.4 bar. The specific internal energy after expansion is 230 kJ/kg. Calculate the polytropic index (n) and heat rejected to the cylinder cooling water per kilogram or gases during the expansion stroke. The worke done by the system is 465.96 kj/kg