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The efficiency of a Carnot cycle is 75%. If the temperature of the hot reservoir is 727°C, calculate the temperature of the cold reservoir. - Physics

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प्रश्न

The efficiency of a Carnot cycle is 75%. If the temperature of the hot reservoir is 727°C, calculate the temperature of the cold reservoir.

योग

उत्तर

Data: η = 75% = 0.75, TH = (273 + 727) K = 1000 K

η = `1-"T"_"C"/"T"_"H"`

∴ `"T"_"C"/"T"_"H"` = 1 − η

∴ TC = TH (1 − η) = 1000 K (1 − 0.75)

= 250 K = (250 − 273)°C

= − 23°C

This is the temperature of the cold reservoir.

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अध्याय 4: Thermodynamics - Exercises [पृष्ठ १०८]

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बालभारती Physics [English] 12 Standard HSC Maharashtra State Board
अध्याय 4 Thermodynamics
Exercises | Q 6 | पृष्ठ १०८
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