Question

What is the highest possible theoretical efficiency of a heat engine operating with a hot reservoir of furnace gases at 727°C when the cooling water available is at 27°C ?

Answer 1

Answer:

$\eta_{max} = 70%$

Explanation:

given data:

maximum temperature = 727 degree C =727 +273 = 1000 K

Minimum temperature = 27 degree C = 27 +273 = 300 K

Maximum efficiency is given as $\eta$

$\eta = \frac{T_{max} - T_{min}}{T_{max}} *100%$

plugging all value from the above to get maximum efficiency

$\eta = \frac{1000-300}{1000} *100%$

$\eta_{max} = 70%$