∙By what minimum amount does the mass of 4.00 kg of ice increase when the ice melts at 0.0^∘ C t

step 1 Okay, so in this problem we have a total mass of 4 kilograms of ice, melting down and a temperat

∙By what minimum amount does the mass of 4.00 kg of ice...

$\bullet$ By what minimum amount does the mass of 4.00 $\mathrm{kg}$ of ice
increase when the ice melts at $0.0^{\circ} \mathrm{C}$ to form water at that same
temperature? (The heat of fusion of water is $3.34 \times 10^{5} \mathrm{J} / \mathrm{kg.} )$

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Key Concepts

Mass-Energy Equivalence

This principle, rooted in Einstein’s famous equation E = mc², establishes that energy and mass are interchangeable. When energy is added to a system—in this case, the energy required to melt ice—it results in a corresponding increase in mass, even though the change is typically negligible in everyday circumstances.

Latent Heat of Fusion

Latent heat of fusion is the amount of heat energy needed to change a substance from the solid phase to the liquid phase at its melting point without changing its temperature. This concept is essential in understanding phase changes, where energy is absorbed to break the molecular lattice of the solid without an increase in temperature.

Energy Conservation in Phase Transitions

During a phase transition like melting, the total energy of the system is conserved. The energy supplied (latent heat) is stored internally rather than raising the temperature, which according to mass-energy equivalence results in a slight increase in the mass of the substance. This conservation principle underpins the analysis of energy changes during the melting process.

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