The pressure and volume of an ideal gas are related as $P V ^ { \frac { 3 } { 2 } } = K$ (Constant). The work done when the gas is taken from state $A\left(P _ { 1 } , V _ { 1 } , T _ { 1 }\right)$ to state $B\left(P _ { 2 } , V _ { 2 } , T _ { 2 }\right)$ is: (1) $2 \left( P _ { 1 } V _ { 1 } - P _ { 2 } V _ { 2 } \right)$ (2) $2 \left( P _ { 2 } V _ { 2 } - P _ { 1 } V _ { 1 } \right)$ (3) $2 \sqrt { P _ { 1 } } V _ { 1 } - \sqrt { P _ { 2 } } V _ { 2 }$ (4) $2 P _ { 2 } \sqrt { V _ { 2 } } - P _ { 1 } \sqrt { V _ { 1 } }$
The pressure and volume of an ideal gas are related as $P V ^ { \frac { 3 } { 2 } } = K$ (Constant). The work done when the gas is taken from state $A\left(P _ { 1 } , V _ { 1 } , T _ { 1 }\right)$ to state $B\left(P _ { 2 } , V _ { 2 } , T _ { 2 }\right)$ is:\\
(1) $2 \left( P _ { 1 } V _ { 1 } - P _ { 2 } V _ { 2 } \right)$\\
(2) $2 \left( P _ { 2 } V _ { 2 } - P _ { 1 } V _ { 1 } \right)$\\
(3) $2 \sqrt { P _ { 1 } } V _ { 1 } - \sqrt { P _ { 2 } } V _ { 2 }$\\
(4) $2 P _ { 2 } \sqrt { V _ { 2 } } - P _ { 1 } \sqrt { V _ { 1 } }$