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Question: Find out the working capacity of an engine which is working between 110° to 25<sup>0</sup>c, if temp...

Find out the working capacity of an engine which is working between 110° to 250c, if temperature of boyler is increased up to 1400c and sink temperature equal to its.

A

I20.2%,II18%I - 20.2\%,\text{II} - 18\%

B

I22.2%,II - 27.8%I - 22.2\%,\text{II - 27.8\%}

C

I28%,II30%I - 28\%,\text{II} - 30\%

D

None of these

Answer

I22.2%,II - 27.8%I - 22.2\%,\text{II - 27.8\%}

Explanation

Solution

First condition

T2=110oC=110+273K=383KT_{2} = 110^{o}C = 110 + 273K = 383K η=?\eta = ?

T1=25oC=25+273K=298KT_{1} = 25^{o}C = 25 + 273K = 298K

η=T2T1T2=383298383=0.222\eta = \frac{T_{2} - T_{1}}{T_{2}} = \frac{383 - 298}{383} = 0.222 or 22.2%22.2\%

Second condition

T2=140oC=140+273K=413KT_{2} = 140^{o}C = 140 + 273K = 413K η=?\eta = ?

T1=25oC=25+273K=298KT_{1} = 25^{o}C = 25 + 273K = 298K

η=T2T1T2=413298413=0.278\eta = \frac{T_{2} - T_{1}}{T_{2}} = \frac{413 - 298}{413} = 0.278 or 27.8%27.8\%