Chapter 15, Problem 20P

To determine

To find : The high temperature.

Answer to Problem 20P

  $319.44°\text{C}$

Explanation of Solution

Given:

Efficiency $=28\%$

  $T_i=230°\text{C}$

Formula Used :

The efficiency in terms of temperature is given as,

  $\%\eta =\left(1-\frac{T_L}{T_H}\right)\times 100$

Calculation :

Substituting the values,

  $\left(1-\frac{230}{T_H}\right)\times 100=28$

  $\Rightarrow 1-\frac{230}{T_H}=\frac{28}{100}$

  $\Rightarrow 1-\frac{28}{100}=\frac{230}{T_H}$

  $\Rightarrow T_H=\frac{23000}{72}$

  $\Rightarrow T_H=319.44°\text{C}$