A Carnot engine has the same efficiency between `800 K` to `500 K` and `x K to 600 K`. The value of `x` is

Options

A. `1000 K`
B. `960 K`
C. `846 K`
D. `754 K`

Answer

B

Explanation

In first case, `(eta_1) = 1-500/800=3/8`
and in second case, `(eta_2) = 1-600/x`
or, `(600)/x = 1-3/8=5/8 or x = (600xx8)/(5) = 960 K`.