Answer:
The corresponding heat rate of the power cycle is 9749 BTU/kWh
Explanation:
Heat rate is the common measure of system efficiency in a steam power plant. It is defined as "the energy input to a system, typically in Btu/kWh, divided by the electricity generated, in kW."
Heat rate (BTU/kWh) = (Input Energy. Btu/hr)/(output power. kW)
Given;
Electrical energy output of gas turbine power plant = 5 MW = 5000 KW
Chemical energy input of the turbine = ?
Also, Efficiency = output power/input power
Given, efficiency = 35% = 0.35
0.35 = 5000 kW/input power
Input Power (kW) = 5000/0.35
Input Power (kW) = 14,285.7 KW
1 KW = 3412.142 BTU/hr
14,285.7 KW = 48,744,836.97 BTU/hr
Heat rate (BTU/kWh) = (Input Energy. Btu/hr)/(output power. kW)
Heat rate (BTU/kWh) = (48,744,836.97 BTU/hr)/(5000 KW)
Heat rate (BTU/kWh) = 9748.97 BTU/kWh = 9749 BTU/kWh
Therefore, the corresponding heat rate of the power cycle is 9749 BTU/kWh
