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311.

For which combination of working temperatures, the efficiency of engine is the least ?

  • 100 K, 80 K

  • 40 K, 20 K

  • 80 K, 60 K

  • 60 K, 40 K


A.

100 K, 80 K

We know that,

         η = 1 - TLTH × 100

According to trial and error method

        η = 1 - 80100 × 100η = 100 - 80100 × 100η = 20100 × 100η = 20 %

Thus, the Carnot engine working on the combination given in option (a) has the least efficiency. 

∴ Temperatures will be 100 K and 80 K.


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312.

A Carnot's engine is made to work between 200°C and 0°C first and then between 0°C and − 200°C. The ratio of efficiencies of the engine in the two cases is

  • 1 : 1.73

  • 1.73 : 1

  • 1 : 2

  • 1 : 1


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