Question

P-V diagram of an ideal gas is as shown in figure. work done by the gas the process ABCD is:

• A. $4P_0{V}_0$
• B. ${2P}_0{V}_0$
• C. $3P_0{V}_0$
• D. $P_0{V}_0$

Answer 1

The correct option is C $3P_0{V}_0$

Work done for $PV$ curve

is, area under the $PV$ curve

Work done for $AB$= $P\left(dV\right)$

$-\left(P_o\right)\ast V_o=-\left(P_o{V}_o\right)$........$\left(i\right)$

Work done for $BC$, $\left(dV\right)=o$

So, work done for $BC=0$.........$\left(ii\right)$

Work done for $CD$= $\left(2P_o\right)\ast \left(2V_o\right)=\left(4P_o{V}_o\right)$......$\left(ii\right)$

Total Work done = adding euations $\left(i\right),\left(ii\right),and\left(ii\right)$ we get,

Work done for $ABCD=\left(3P_o{V}_o\right)$