Answer
change in volume is 4.42 litre.
Work Step by Step
data:
work done by the system =-W =-324J
$pressure= P= 7.33 × 10^4 Pa$
to find:
change in volume = Δ V =?
formula used:
W = -PΔ V
by rearranging we get
Δ V = - W / P
solution:
Δ V = - W / P
$Δ V = (-324J) / (7.33 × 10^4 Pa)$
as
$1pa = 1 Kg/m.s^2
1l = .001 m^3$
so by converting into required units
$Δ V = (-324 Kgm^2/s^2) / (7.33 × 10^4Kg/m.s^2)$
$Δ V = - 4.42 × 10^{-3} m^3$
as
$1m^3 = 1000l$
so by converting into required units
Δ V = - 4.42 l
so change in volume is 4.42 litre.