Question

Calculate the work performed by an ideal Carnot engine as a cold brick warms from 150 K to the temperature of the environment, which is 300 K. (Use 300 K as the temperature of the hot reservoir of the engine). The heat capacity of the brick is C = 1 kJ/K.

Answer 1

57.94415 kJ

Step-by-step explanation:

`T_h` = Environment temperature = 300 K

`T_c` = Brick temperature = 150 K

C = Specific heat of brick = 1 kJ/K

Work done is given by

`W=\int_(T_c)^(T_h)C(1-(T_h)/(T))\\\Rightarrow W=C(T_h-T_c)-T_hCln(T_h)/(T_c)\\\Rightarrow W=1(300-150)-300* 1ln(300)/(150)\\\Rightarrow W=-57.94415\ kJ`

The work performed is 57.94415 kJ