To make hot chocolate for you and your friends, you must melt 3.0 kg of snow (0.0°C) and heat it to 70.0°C to make the hot chocolate. Calcul

Question

To make hot chocolate for you and your friends, you must melt 3.0 kg of snow (0.0°C) and heat it to 70.0°C to make the hot chocolate. Calculate the total amount of heat needed.

Heat of fusion of ice = 3.34 × 10^5 J/kg, Specific Heat of Water = 4180 J/(kg.K)

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Amity 4 years 2021-08-02T07:44:24+00:00 1 Answers 9 views 0

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  1. thanhcong
    0
    2021-08-02T07:45:24+00:00
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    Answer: 18.798\times 10^5\ J

    Explanation:

    Given

    Mass of snow is m=3\ kg

    First snow is converted to water at 0^{\circ}C and then it is taken to 70^{\circ}C

    Heat required to convert the ice into water at 0^{\circ}C

    Q_1=3\times 3.34\times 10^5\\Q_1=10.02\times 10^5\ J

    Heat required to raise temperature from 0^{\circ}C to 70^{\circ}C

    Q_2=3\times 4180\times (70-0)\\Q_2=8.778\times 10^5\ J

    Total heat required

    \Rightarrow Q=Q_1+Q_2\\\Rightarrow Q=10.02\times 10^5+8.778\times 10^5\\\Rightarrow Q=18.798\times 10^5\ J

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