Question

If steam enters a turbine at 600K and is exhausted at 400K, calculate the efficiency of the engine.

Answer 1

The formular for efficiency = change in temprature/ initial temprature
change in temprature = 600 - 400 = 200
efficiency = 200/600 = 0.333 = 33.3%'

Answer 2

The correct answer to the question is 33.3 % i.e the efficiency of the engine is 33.3 %.

CALCULATION:

The steam enters a turbine at 600 K.

Hence, the temperature of the source T = 600 K.

The steam is exhausted at a temperature 400 K.

Hence, the temperature of the sink T' = 400 K

We are asked to calculate the efficiency of the engine.

The efficiency of a heat engine whose source is at temperature T K and sink at T' is calculated as -

                        efficiency $\eta\ =\ 1-\frac{T'}{T}$

                                             $=\ 1-\frac{400\ K}{600\ K}$

                                             $=\ 1-\frac{2}{3}$

                                             $=\ \frac{1}{3}$

                                             $=\ 33.3\%$             [ans]

Hence, the efficiency of the engine is 33.3 %.