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A Carnot engine operating between two reservoirs has efficiency 1 3 . When the temperature of cold reservoir raised by x , its efficiency decreases to 1 6 . The value of x , if the temperature of hot reservoir is 99 ° C , will be

Options

  1. A16 . 5   K
  2. B33   K
  3. C66   K
  4. D62   K

Correct answer

D. 62   K

Step-by-step solution

A carnot engine works between two reservoirs, one hot reservoir and one cold reservoir. The absolute temperature T H of the hot reservoir can be calculated as follows- T H = 99 ° C = 99 + 273   K =   372   K The formula to calculate the efficiency η of the engine is given by η =   1 - T C T H . . . . . . . . . . . . . . . . . . . . . ( 1 ) where, T C is the temperature of the cold reservoir. Substituting the values of the known parameters in equation (1), we get 1 3 =   1 - T

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