A power cycle operates between hot and cold reservoirs at 500 K and 310 K, respectively. At steady state, the cycle rejects energy by heat transfer to the cold reservoir at a rate of 16 MW. Determine the maximum theoretical power that might be developed by such a cycle, in MW.

Maximum theoretical power (output) = 9.80 W

Explanation:

The efficiency of power is given by:

η = =

Where is temperature of hot reservoir and is temperature of cold reservoir.

given:

= 500 K

= 310 K

The efficiency of power cycle

η =

η =

η = 0.38

Efficiency in terms of heat rejected and heat transferred to power cycle is as follows

η =

known that: η = 0.38 and = 16 MW

0.38 =

= 1 - 0.38

= 0.62

= 25.80 MW

W =  -    

W = 25.80 MW - 16 MW

W = 9.80 MW

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