An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temperature of 322 K. Over the course of one hour, the engine absorbs 1.37 x 105 J from the hot reservoir and exhausts 7.4 x 104 J into the cold reservoir. 1) What is the power output of this engine?

2) What is the maximum (Carnot) efficiency of a heat engine running between these two reservoirs?

3) What is the actual efficiency of this engine?

The power output of this engine is  

The  the maximum (Carnot) efficiency is  

The  actual efficiency of this engine is  

Explanation:

From the question we are told that

    The temperature of the hot reservoir is  

      The temperature of the cold reservoir  is  

     The energy absorbed from the hot reservoir is

       The energy exhausts into  cold reservoir is  

The power output is mathematically represented as

Where t is the time taken which we will assume to be 1 hour =  3600 s  

W is the workdone which is mathematically represented as

substituting values

So

The Carnot efficiency is mathematically represented as

The actual efficiency is mathematically represented as

substituting values

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