A) 100K
B) 300K
C) 550K
D) 700K
Correct Answer: C
Solution :
\[{{\eta }_{A}}=\frac{{{T}_{1}}-{{T}_{2}}}{{{T}_{1}}}=\frac{{{W}_{A}}}{{{Q}_{1}}}\]Þ\[{{\eta }_{B}}=\frac{{{T}_{2}}-{{T}_{3}}}{{{T}_{2}}}=\frac{{{W}_{B}}}{{{Q}_{2}}}\] \ \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\times \frac{{{T}_{2}}-{{T}_{3}}}{{{T}_{1}}-{{T}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\] \ \[{{W}_{A}}={{W}_{B}}\] \ \[{{T}_{2}}=\frac{{{T}_{1}}+{{T}_{3}}}{2}=\frac{800+300}{2}=550K\]You need to login to perform this action.
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