First slide

Graphs

Question

The following diagram represents a graph between temperature and entropy. Find the efficiency of the engine representing the graph.

Difficult

A

$\frac{1}{3}$
B

$\frac{1}{2}$
C

$\frac{1}{5}$
D

$\frac{1}{4}$

Solution

Efficiency of the Engine = $\frac{Δ W}{Δ Q}$
$\begin{array}{l} = \frac{A r e a o f A B C A}{A r e a o f A B M N C A} \\ \Rightarrow η = \frac{\frac{1}{2} \times S_{0} \times 2 T_{0}}{\frac{1}{2} \times (T_{0} + 3 T_{0}) \times S_{0}} = \frac{1}{2} \end{array}$

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