How much heat is needed to melt 1.000 kg of ice already at 0 degrees Celsius? Use the latent heat of fusion of water, 334 kJ/kg.
A33.4 kJ
B167 kJ
C334 kJ
D668 kJ
Answer & Solution
Correct answer: C. 334 kJ
1. Melting uses the relationship Q = mLf, where Lf is the latent heat of fusion.
2. Substitute m = 1.000 kg and Lf = 334 kJ/kg.
3. Multiply: Q = 1.000 x 334 = 334 kJ.
4. 33.4 kJ is ten times too small, and 668 kJ is double the correct value, while 167 kJ is half of it.
5. So 334 kJ is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 11 "Thermal Energy, Heat, and Work", section 11.3 Phase Change and Latent Heat_
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