The heat of fusion for ice at 0 °C is 333.7 kJ/kg. What is the energy needed to melt 100 grams of ice at 0.00 °C?
Question
Solution
To calculate the energy needed to melt 100 grams of ice at 0.00 °C, we need to use the formula:
Q = m * ΔHf
where: Q = heat energy (in Joules or kJ) m = mass (in kg) ΔHf = heat of fusion (in kJ/kg)
Given: m = 100 grams = 0.1 kg (since 1 kg = 1000 grams) ΔHf = 333.7 kJ/kg
Substituting the given values into the formula:
Q = 0.1 kg * 333.7 kJ/kg
Q = 33.37 kJ
Therefore, the energy needed to melt 100 grams of ice at 0.00 °C is 33.37 kJ.
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