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10 March, 07:37

When a fuel is burned in a cylinder fitted with a piston, the volume expands from an initial value of 0.250 L against an external pressure of 2.00 atm. The expansion does 288 J of work on the surroundings. What is the final volume of the cylinder

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  1. 10 March, 09:33
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    Vf = 0.0017 m³ = 1.7 L

    Explanation:

    The work done by the system on the surrounding at constant pressure is given by the following formula:

    W = PΔV

    W = P (Vf - Vi)

    where,

    W = Work done = 288 J

    P = Constant Pressure = (2 atm) (101325 Pa/atm) = 202650 Pa

    Vf = Final Volume f Cylinder = ?

    Vi = Initial Volume of Cylinder = (0.25 L) (0.001 m³ / 1 L) = 0.00025 m³

    Therefore,

    288 J = (202650 Pa) (Vf - 0.00025 m³)

    Vf = 288 J/202650 Pa + 0.00025 m³

    Vf = 0.0017 m³ = 1.7 L
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