A) \[\frac{{{t}_{1}}+{{t}_{2}}}{{{t}_{1}}+273}\]
B) \[\frac{{{t}_{1}}}{{{t}_{1}}+{{t}_{2}}}\]
C) \[\frac{{{t}_{1}}+273}{{{t}_{1}}+{{t}_{2}}}\]
D) \[\frac{{{t}_{2}}+273}{{{t}_{1}}+{{t}_{2}}}\]
Correct Answer: D
Solution :
[d] Heat delivered =\[{{Q}_{1}}\] Coefficient of performance \[(\beta )=\frac{{{Q}_{2}}}{W}\] \[W={{Q}_{1}}-{{Q}_{2}}\] \[\beta =\frac{{{Q}_{2}}}{{{Q}_{1}}-{{Q}_{2}}}\] \[\frac{1}{\beta }=\frac{{{Q}_{1}}-{{Q}_{2}}}{{{Q}_{2}}}\] \[\frac{1}{{{Q}_{2}}}=\frac{{{t}_{1}}}{{{t}_{2}}}-1=\frac{{{t}_{1}}-{{t}_{2}}}{{{t}_{2}}}\therefore \frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{t}_{1}}}{{{t}_{2}}}\] \[{{Q}_{2}}=\frac{({{t}_{2}}+273)}{{{t}_{1}}-{{t}_{2}}}\]You need to login to perform this action.
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