Cylinder will expand to 6.08 Lit by assuming that all the energy released is converted to work used to push the piston.
Concept of work :If we apply force on an object and if the object moves and changes it's position, then product of the force and the displacement of an object in the direction of applied force is called work.
Given,
Pressure= P= 738.52 mm Hg = 0.97 atm. (∵ 760 mm Hg = 1 atm)
Initial volume =V1= 1.7 L
Work done = W = 439.6 J
As we need our answer in litters ..
let's convert the work done into suitable units
∴work done = W = 4.26 L-atm (∵ 1 J = 101.3 L-atm)
As given all the energy is assumed to converted into work so we need not to worry About heat loss or entropy.
work done = pressure * difference in volume
W = PΔV
ΔV = 4.26÷ 0.97
∴ΔV = 4.38 LIt
There for, the volume expanded = 4.38 Lit
So, total volume = 4.38+ 1.7 = 6.08 Lit.
Learn more about work done here..
brainly.com/question/1634438
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