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15 October, 09:20

The minimum amount of 100-degree-c steam needed to melt 1 gram of 0-degree-celsius ice is

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  1. 15 October, 10:40
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    The mass of ice to be melted is

    1 g = 10⁻³ kg.

    Let m = the mass of steam required to melt the ice.

    For water,

    The latent heat of vaporization is 2260 kJ/kg

    The latent heat of fusion is 334 kJ/kg

    The steam should give up its latent heat of vaporization to melt the ice, which gives up its latent heat of fusion.

    Therefore

    (m kg) * (2260 kJ/kg) = (10⁻³ kg) * (334 kJ/kg)

    m = 1.478 x 10⁻⁴ kg = 0.1478 g

    Answer: 0.148 g
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