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A cornot engine has the same eficincy , ...

A cornot engine has the same eficincy , when operated (i) between 100K and 500K (ii) between TK and 900K. Find the value of T.

Text Solution

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(i) Here `T_(1)=500K, T_(2)=100K`
`eta=1-(T_(2))/(T_(1))=1-(100)/(500)=1-0.2=0.8`
(ii)Now, `T_(1)=900K,T_(2)=T and eta=0.8`
Again, `eta=1-(T_(2))/(T_(1))`
`0.8=1-(T)/(900)(or)(T)/(900)=1-0.8=0.2`
`thereforeT=180K` .
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