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17 September, 15:49

Eight grams of water changes from liquid to vapor at a pressure of one atmosphere. In the process, the volume changes from 0.8 cm³ to 674 cm³. The latent heat of vaporization of water is 2.26 * 10⁶ J/kg. Find the work done. Answer in units of J.

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  1. 17 September, 16:03
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    work done = 68.2 j

    Explanation:

    mass (m) = 8 g

    initial volume (V1) = 0.8 cm^{3} = 8 x 10^{-7} m^{3}

    final volume (V2) = 674 cm^{3} = 6.74 x 10^{-4} m^{3}

    latent heat of vaporization = 2.26 x 10^{6} j/kg

    pressure = 1 atm = 1.013 x 10^{5} Pa

    work done = pressure x change in volume

    work done = 1.013 x 10^{5} x ((6.74 x 10^{-4}) - (8 x 10^{-7}))

    work done = 68.2 j
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