The P - V diagram of a diatomic ideal gas system going under cyclic...

The $P - V$ diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process $CD$ is (use $\gamma = 1 . 4 )$ :

The P - V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an

Options

A $– 500J$
B $– 400J$
C $400J$
D $200J$

Correct answer

A. $– 500J$

Step-by-step solution

Adiabatic process is from

C

D

WD = \dfrac{{P}_{2}{V}_{2} - {P}_{1}{V}_{1}}{1 - \gamma}

= \dfrac{{P}_{D}{V}_{D} - {P}_{C}{V}_{C}}{1 - \gamma}

= \dfrac{200 ( 3 ) - ( 100 ) ( 4 )}{1 - 1 . 4}

= - 500J

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