For the two PV diagrams below, find the net work done on the gas during the process indicated by the path. $($Enter your answers in J$.)$

$($a$)$

$3\mathrm{.}00$

$6\mathrm{.}00$

$9\mathrm{.}00$

$1\mathrm{.}00$

$2\mathrm{.}00$

$3\mathrm{.}00$

A PV diagram has a horizontal axis labeled V $($m$3)$ and a vertical axis labeled P $(105$ Pa$).$ Two arrows are plotted, and the area vertically beneath the arrows is shaded.

The first arrow starts at $(1\mathrm{.}00,3\mathrm{.}00),$ extends horizontally to the right, and ends at $(2\mathrm{.}00,3\mathrm{.}00).$

The first arrow starts at $(2\mathrm{.}00,3\mathrm{.}00),$ extends up and to the right, and ends at $(3\mathrm{.}00,9\mathrm{.}00).$

J

$($b$)$

$3\mathrm{.}00$

$6\mathrm{.}00$

$9\mathrm{.}00$

$1\mathrm{.}00$

$2\mathrm{.}00$

$3\mathrm{.}00$

A PV diagram has a horizontal axis labeled V $($m$3)$ and a vertical axis labeled P $(105$ Pa$).$ One path, with arrows superimposed on it$,$ is plotted, and the area vertically beneath the path is shaded.

The path starts at $(3\mathrm{.}00,9\mathrm{.}00),$ extends horizontally to the left until it reaches $(2\mathrm{.}00,9\mathrm{.}00),$ then extends vertically down until it reaches $(2\mathrm{.}00,3\mathrm{.}00),$ and finally extends horizontally to the left until it ends at $(1\mathrm{.}00,3\mathrm{.}00).$