Question 370: Thermodynamics & KTG

Question

A heat engine has an efficiency of $${1 \over 6}$$. When the temperature of sink is reduced by 62$$^\circ$$C, its efficiency get doubled. The temperature of the source is :

Accepted Answer

$$\eta  = 1 - {{{T_L}} \over {{T_H}}}$$ ..... (i)
$$2\eta  = 1 - {{({T_L} - 62)} \over {{T_H}}} = 1 - {{{T_L}} \over {{T_H}}} + {{62} \over {{T_H}}}$$
$$ \Rightarrow \eta  = {{62} \over {{T_H}}} \Rightarrow {1 \over 6} = {{62} \over {{T_H}}} \Rightarrow {T_H} = 6 	imes 62 = 372$$ K
In $$^\circ$$C $$\Rightarrow$$ 372 $$-$$ 273 = 99$$^\circ$$ C

Answer

124$$^\circ$$C

Answer

37$$^\circ$$C

Answer

62$$^\circ$$C

Answer

99$$^\circ$$C

Thermodynamics & KTG

A heat engine has an efficiency of ${1 \over 6}. When the temperature of sink is reduced by 62^\circ$C, its efficiency get doubled. The temperature of the source is :

Choose the correct answer: