Consider a thermoelectric plant that burns coal and produces 120 MW of electrical power. The plant operates on a power cycle power cycle (simple ideal Rankine) and the working substance is water with turbine inlet conditions of 9 MPa and 550 °C and a condenser pressure of 15 kPa. Coal has a calorific value (energy released when the fuel is burned per unit mass) of 29300kJ/kg. If it is known that the isentropic the isentropic efficiency of the turbine is known to be 85% and the turbine is 85 % and it is considered that at the outlet of the condenser it is saturated liquid.
Determine:
a. (0.5 Points) The quality (if any) at the turbine outlet. With 4 digits after the point.
b. (0.5 Points) The entropy conditions, in kJ/(kg*K) at the turbine exit. With 4 digits after the point.
c. (0.5 Points) The entropy, in kJ/(kg*K) at the outlet of the condenser. With 4 digits after the point.
d. (0.5 Points) The work delivered by the pump, in kJ/kg. With 2 figures after the point.
e. (0.5 Points) The enthalpy at the pump output in kJ/kg. With 2 figures after the point.
f. (0.5 points) The mass flow rate of water, in kg/s, through the turbine. With 1 digit after the point.
g. (0.5 points) The heat flow, in kW, supplied to the boiler. With 2 figures after the point.
h. (0.5 Points) The thermal efficiency of the cycle in %. With 2 figures after the point.
i. (0.5 points) If the heat required by the cycle is supplied by 60% of the heat generated in the combustion of the coal (the remaining 40% of the heat is not used). in the combustion of the coal (the remaining 40% of the heat is not used), what is the mass flow of coal, in kJ/s, in kJ/s? of coal, in kJ/s, required for the cycle to be in operation? With 2 figures after the point.
j. (0.5 points) The entropy generated, in kW/K, in the turbine (Consider To = 25 °C). With 1 digit after the point.
