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30 December, 09:11

How much heat is required to convert 74 grams of ice at - 4 C into 74 grams of water at 52 C

Hf=334 j/g

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  1. 30 December, 09:30
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    To calculate the heat required to convert 74 g of ice at - 4 °C to 52 °C, we need to know the specific heat capacity of ice and water. We can use the following formula:

    q = mcΔT

    m = mass of substance

    c = specific heat capacity

    ΔT = change in temperature

    The specific heat capacity of ice is 2.108 J/g°C and for water is 4.187 J/g°C. We will first calculate the heat to convert ice from - 4 °C to 0 °C. Then we will calculate the heat to increase the temperature of water from 0 °C to 52 °C.

    From - 4 °C to 0 °C:

    q = (74 g) (2.108 J/g°C) (4°C)

    q = 624 J

    From 0 °C to 52 °C:

    q = (74 g) (4.187 J/g°C) (52°C)

    q = 16,112 J

    The total heat required to convert 74 g of ice at - 4 °C to 74 g of water at 52 °C is the combined calculated heats:

    Total heat = 16,112 + 624

    Total heat = 16,736 J = 16.7 kJ
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