(Solved): 1.10; 1.13; 1.14 10 The gases in the cylinder of an internal combustion engine have a specific i ...
1.10; 1.13; 1.14
10 The gases in the cylinder of an internal combustion engine have a specific internal energy of 800kJ/kg and a specific volume of 0.06m3/kg at the beginning of expansion. The expansion of the gases may be assumed to take place according to a reversible law, pv1.5= constant, from 55 bar to 1.4 bar. The specific internal energy after expansion is 230kJ/kg. Calculate the heat rejected to the cylinder cooling water per kilogram of gases during the expansion stroke. (104kJ/kg) 1.13 A turbine operating under steady-flow conditions receives steam at the following state: pressure, 13.8bar; specific volume 0.143m3/kg, specific internal energy 2590kJ/kg, velocity 30m/s. The state of the steam leaving the turbine is as follows: pressure 0.35 bar, specific volume 4.37m3/kg, specific internal energy 2360kJ/kg, velocity 90m/s. Heat is rejected to the surroundings at the rate of 0.25kW and the rate of steam flow through the turbine is 0.38kg/s. Calculate the power developed by the turbine. (102.7kW) 1.14 A nozzle is a device for increasing the velocity of a steadily flowing fluid. At the inlet to a certain nozzle the specific enthalpy of the fluid is 3025kJ/kg and the velocity is 60m/s. At the exit from the nozzle the specific enthalpy is 2790kJ/kg. The nozzle is horizontal and there is a negligible heat loss from it. Calculate: (i) the velocity of the fluid at exit; (ii) the rate of flow of fluid when the inlet area is 0.1m2 and the specific volume at inlet is 0.19m3/kg; (iii) the exit area of the nozzle when the specific volume at the nozzle exit is 0.5m3/kg. (688m/s;31.6kg/s;0.0229m2)