Answer:
640 J
Explanation:
The work done by the piston when expanding is given by
[tex]W=p\Delta V[/tex]
where we have
[tex]p=200 kPa = 2.0\cdot 10^5 Pa[/tex] is the pressure
[tex]\Delta V[/tex] is the change in volume of the gas inside the piston;
since we have
[tex]V_i = 0.2 L[/tex] is the initial volume
[tex]V_f = 3.4 L[/tex] is the final volume
The change in volume is
[tex]\Delta V=3.4 L-0.2 L=3.2 L=3.2\cdot 10^{-3} m^3[/tex]
and so the work done is
[tex]W=(2.00\cdot 10^5 Pa)(3.2 \cdot 10^{-3}m^3)=640 J[/tex]
