A) \[20%\text{ }and\,\,-43{}^\circ C\]
B) \[40%\text{ }and\,\,-33{}^\circ C\]
C) \[50%\text{ }and\,\,-20{}^\circ C\]
D) \[70%\text{ }and\,\,-10{}^\circ C\]
Correct Answer: B
Solution :
Given : \[{{Q}_{1}}=1000J\] \[{{Q}_{2}}=600J\] \[{{T}_{1}}={{127}^{o}}C=400K\] \[{{T}_{2}}=?\] \[\eta =?\] Efficiency of carnot engine, \[\eta =\frac{W}{{{Q}_{1}}}\times 100%\]or\[\eta =\frac{{{Q}_{2}}-{{Q}_{1}}}{{{Q}_{1}}}\times 100%\] or, \[\eta =\frac{1000-600}{1000}\times 100%\]\[\eta =40%\] \[\frac{600}{1000}=\frac{{{T}_{2}}}{400}\] \[{{T}_{2}}=\frac{600\times 400}{1000}\] \[=240K\] \[=240-273\] \[{{T}_{2}}=-{{33}^{o}}C\]You need to login to perform this action.
You will be redirected in
3 sec