$1.$ A cylinder fi$.$ed with a sliding piston contains a volume of ideal gas V$,$ which exerts a pressure

P on the piston. The gas expands slowly, pushing the piston upward. The rela@onship between P

$($in bar$)$ and V $($in m$3$

$)$ during this expansion is $!.$# $=0\mathrm{.}223.$ Calculate the work done by the

gas as it expands from an ini@al volume of $0\mathrm{.}03$ m$3$ to a final volume of $0\mathrm{.}1608$ m$3$

$.($ANS: $64$ kJ