Answer:
The rate of heat transfer is - 935.392 kW
Explanation:
Given;
inlet pressure, P₁ = 20 bar
inlet temperature, T₁ = 440 k
outlet pressure, P₂ = 5 bar
outlet temperature, T₂ = 290 k
inlet velocity, v₁ = 18 m/s
outlet velocity, v₂ = 30 m/s
mass flow rate, Q = 6kg/s
developed power, W = 815 kW
From steam table;
at P₁ and T₁, interpolating between T = 400 and T = 450, h₁ = 3335.52 kJ/kg
at P₂ and T₂, interpolating between T= 250 and T= 300, h₂ = 3043.5 kJ/kg
Applying steady state energy balance equation;

substitute values above into this equation and evaluate the rate of heat transfer

Therefore, the rate of heat transfer, in kW, for a control volume enclosing the turbine is - 935.392 kW