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Question: The enthalpy change when 1 g of water is frozen at 0°C ($\Delta_{fus}H^0$ = 1.435 kcl/mol) is...

The enthalpy change when 1 g of water is frozen at 0°C (ΔfusH0\Delta_{fus}H^0 = 1.435 kcl/mol) is

Answer

-0.08 kcal

Explanation

Solution

  1. Convert grams to moles:
    Moles of water = 1g18g/mol0.0556mol\frac{1\,\text{g}}{18\,\text{g/mol}} \approx 0.0556\,\text{mol}.

  2. Calculate enthalpy change (freezing):
    For freezing, the enthalpy change is the negative of the fusion value.

    ΔH=0.0556mol×1.435kcal/mol0.0797kcal\Delta H = -0.0556\,\text{mol} \times 1.435\,\text{kcal/mol} \approx -0.0797\,\text{kcal}

    This approximately equals 0.08kcal-0.08\,\text{kcal}.

Core Explanation:
Convert 1 g water to moles (1/18 mol) and multiply by ΔfusH0\Delta_{fus}H^0, then take the negative sign because freezing is exothermic.