question_answer

A heat engine receive 200 J of heat from a source and perform 80 J of work. If temperature of sink of the engine is \[27{}^\circ C\] then which of the following can be the temperature of source-

A) \[200{}^\circ C\]                      

B) 500K

C) 700K                

D) \[127{}^\circ C\]

Correct Answer: B

Solution :

\[\therefore \,\,\text{ }Here\text{ }{{Q}_{2}}={{Q}_{1}}-W\,\,=\,\,120\text{ }J\] \[\because \,\,\,\text{ }\frac{{{Q}_{2}}}{{{Q}_{1}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] \[\frac{120}{200}=\frac{300}{{{T}_{1}}}\] \[{{T}_{1}}\,\,=\,\,\frac{300\times 200}{120}\,\,=\,\,500\,\,K\]