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BITSAT2013PhysicsThermodynamicsActual

A Carnot's heat engine works between the temperatures 427^ C and 27^ C . What amount of heat should it consume per second to deliver mechanical work at the rate of 1.0 ~kW ?

Options

  1. A0.417 kcal / s
  2. B4.17 kcal / s
  3. C41.7 kcal / s
  4. D0.212 kcal / s

Correct answer

A. 0.417 kcal / s

Step-by-step solution

The efficiency of the heat engine is =1- T₂ T₁ =1- ( 273+27 K 273+427 K )= 4 7 But = W Q ₁ Q ₁= W = 1.0 ~kW 4 / 7 =1.75 ~kW =0.417 kcal / s Thus, the engine would require 417 cal of heat per second, to deliver the requisite amount of work.

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