Question

A steam engine working like an ideal heat engine delivered 5.4 * 10^8 J of work per minute and takes 3.6 * 10^9 J of heat per minute from its boiler at 127-degree celsius. What is sink temperature?
(1) 37-degree celsius
(2) 47-degree celsius
(3) 57-degree celsius
(4) 67-degree celsius
Please answer with a proper explanation.

Answer 1

Explanation:

A steam engine delivers 5.4×108 J of work per minute and services 3.6 × 109 J of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute? Hence, the percentage efficiency of the engine is 15 %

Answer 2

Answer:

Work done by the steam engine per minute, W = 5.4 x 108 J

Heat supplied from the boiler, H = 3.6 × 109 J

Efficiency of the engine

Output Energy

= Input Energy

W n = H 5.4 x 108 = = 0.15

(3.6 × 10³)

Hence, the percentage efficiency of the engine is 15 %.

Amount of heat wasted = 3.6 x 109-5.4 x 108

= 30.6 x 108

= 3.06 x 109 J

Therefore, the amount of heat wasted per minute is 3.06 x 109 J.