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31 July, 01:44

An open container holds ice of mass 0.500kg at a temperature of - 16.1? C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 850J/minute.

The specific heat of ice to is 2100 J/kg? K and the heat of fusion for ice is 334

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  1. 31 July, 02:40
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    Answer: Tmelt = 19.89mins

    Explanation: (complete question - 334*10^3j/kg. How much time, Tmelt passes before the ice starts to melt?)

    For ice to melt, its temperature must be 0 * C.

    Let

    Q1 = heat required to raise the ice temp from - 16.1 °C. to 0 * C.

    Q2 = heat required to melt the ice

    Q1 = MCp (delta T)

    Q2 = m (Hf)

    where

    M = mass of the ice = 0.500 kg (given)

    Cp = specific heat of ice = 2100 J/kg K (given)

    delta T = temperature change = 0 - - 16.1 = 16.1 °C.

    Hf = heat of fusion of ice = 334 x 10^3 J/jg.

    Substituting values,

    Q1 = 0.500 * 2100 * 16.1 = 16905J

    Q2 = 0.500 * 334*10^3 = 167,000J

    Heat required to melt the ice = Q1 + Q2 = 16905 + 167000 = 183905 J

    How much time Tmelts = Q1 / 850 = 16905/850 = 19.89mins.
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