Acertain heat engine operates between 800 k and 300 k. (a) what is the maximum efficiency of the engine? (b) calculate the maximum work that can be done by for each 1.0 k) of hea a reversible process for each 1.0 kj supplied by the hot source? t supplied by the hot source. (c) how much heat is discharged into the cold sink in

Answer :

(a) The maximum efficiency of the engine is, 62.5 %

(b) The maximum work done is, 0.625 KJ.

(c) The heat discharge into the cold sink is, 0.375 KJ.

Explanation : Given,

Temperature of hot body = 800 K

Temperature of cold body = 300 K

(a) First we have to calculate the maximum efficiency of the engine.

Formula used for efficiency of the engine.

Now put all the given values in this formula, we get :

(b) Now we have to calculate the maximum work done.

Formula used :

where,

= heat supplied by hot source = 1 KJ

= heat supplied by hot source

w = work done = ?

Now put all the given values in this formula, we get :

(c) Now we have to calculate the heat discharge into the cold sink.

Formula used :

Therefore, (a) The maximum efficiency of the engine is, 62.5 %

(b) The maximum work done is, 0.625 KJ.

(c) The heat discharge into the cold sink is, 0.375 KJ.

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