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A Carnot’s engine operates with an effic...

A Carnot’s engine operates with an efficiency of 40% with its sink at `27^(@)C.` With an aim to increase the efficiency to 50 %, the amount of increase in temperature of the source is……….K.

Text Solution

Verified by Experts

The correct Answer is:
100

`eta=1 - (T_(2))/(T_(1))implies 0.4 =1 - (300)/(T_(1))therefore T _(1)=500K`
Again, `0.5=1- (300)/( 500+ Delta T _(1)) implies 0.5 = (300)/(500+ Delta T_(1))`
`implies 500+ Delta T_(1) = 600 " " Delta T_(1) =100 K`
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Knowledge Check

  • An engine has an efficiency of 0.25 when temperature of sink is reduced by 58^(@)C , If its efficiency is doubled, then the temperature of the source is

    A
    `150 ^(@)C`
    B
    `222 ^(@)C`
    C
    `242 ^(@)C`
    D
    `232 ^(@)C`
  • A beat engine work on a Cannot cycle with the heat sink in the temperature of 27^(@)C . IF the efficiency is 20%, then the temperature (in Kelvin) of the heat source will be

    A
    375
    B
    300
    C
    270
    D
    150
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