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300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227°C, then the temperature of sink will be ______ °C.

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Question

300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227°C, then the temperature of sink will be ______ °C.

Options

  • 102

  • 103

  • 106

  • 105

MCQ
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Solution

300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227°C, then the temperature of sink will be 102 °C.

Explanation:

Assuming the engine to be Carnot engine

∴ `"Q"_"absorbed"/"Q"_"lost" = "T"_"source"/"T"_"sink"`   ...(1)

On substituting values in equation (1)

`(300  "cal")/(225  "cal") = (500 "K")/("T"_"sink")`

`"T"_"sink" = 225/300xx500`

= 375 K

`"T"_"sink"` (in °C) = 375 - 273 = 102 °C

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Introduction of Thermodynamics
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