Question

A heat engine operates in a Carnot cycle between 74.0°C and 342°C. It absorbs 21,100 J of energy every second from the hot reservoir. What is the mechanical power output (in kW) of this engine? Round your answer to 2 decimal places.

Answer 1

Given the tempeature of the hot reservoir T1 = = 615K and the temperature of the cold reservoir T2 = = 347K. Also the amount of heat absorbed per second from the hot reservoir is,

The efficiency of the Carnot's heat engine is given by,

If W is the work done, then the efficiency can be written as,

Comparing both the equations, we get

The power is given by,

So the mechanical power output of the engine is 9.19kW.