Question

In the shown thermodynamic process, the correct statement is

• A. Heat given in the complete cycle ABCA is zero
• B. Work done in the complete cycle ABCA is zero
• C. Work done in the complete cycle ABCA is $\left(P_0{V}_0/2\right)$
• D. None

Answer 1

Answer: (C)

Work done in the complete cycle ABCA is $\left(P_0{V}_0/2\right)$

Given: P-V graph

Solution :

For a cyclic process work done in the complete cycle is given by the are enclosed by the curve. If the cyclic process is clockwise work is done by the system.

2. Area of the triangle = $\frac{1}{2}\times \left(base\right)\times \left(height\right)$

$\Rightarrow Area=\frac{1}{2}\times (2V_o-V_o)\times (3P_o-2P_o)$

$\Rightarrow Area=\frac{1}{2}\times \left(V_o\right)\times \left(P_o\right)$

As, cycle is clockwise , work done by system is positive

$\therefore W=\frac{P_o{V}_o}{2}$

Hence, correct option is C.