Work done is the exchange of heat from the system and the surrounding. The final volume of the gas in the system is 2.45 L.
Work done is the product of the pressure and the change in the volume of the gas in the system. The formula for work done is given as,
[tex]\rm w = -P\Delta V[/tex]
Given,
Initial volume = 5.35 L
Work done = 588 J
Pressure = 2.00 atm
Work done in joules is converted to L atm as, 588 joules = 5.80 Litres-atmosphere
Substituting values in the above equation:
[tex]\begin{aligned}\rm w &=\rm -P(V_{f} - V_{i})\\\\5.80 &= \rm - 2 (V_{f} - 5.35))\\\\5.80 - 10.7 &= \rm -2V\\\\&= 2.45\;\rm L\end{aligned}[/tex]
Therefore, 2.45 L is the initial volume of the gas.
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