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10 April, 16:29

A cylinder with a moving piston expands from an initial volume of 0.150 L against an external pressure of 1.50 atm. The expansion does 217 J of work on the surroundings. What is the final volume of the cylinder

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  1. 10 April, 16:47
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    V₂ = 0.0016 m³ = 1.6 L

    Explanation:

    The work done by the system against a constant external pressure is given by:

    W = PΔV

    W = P (V₂ - V₁)

    V₂ = (W/P) + V₁

    where,

    W = Work done by the piston = 217 J

    P = Constant External Pressure = (1.5 atm) (101325 Pa / 1 atm) = 151988 Pa

    V₁ = Initial Volume = (0.15 L) (0.001 m³/1 L) = 0.00015 m³

    Therefore,

    V₂ = (217 J/151988 Pa) + 0.00015 m³

    V₂ = 0.0016 m³ = 1.6 L
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