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How much energy is needed to melt $ 250grams $ of ice at $ 0^\circ C $ ?

Answer
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Hint: Solids can be heated to where the particles holding their bonds together split up and structure a liquid. The most well-known model is solid ice transforming into liquid water. This cycle is also called melting, or heat of fusion, and results in the atoms inside the substance getting less coordinated.

Complete step by step solution:
Heat capacity or thermal capacity is an actual property of matter, characterized as the measure of heat to be provided to a given mass of a material to create a unit change in its temperature. The SI unit of warmth limit is joule per kelvin.
Heat capacity is a broad property. The related intensive property is the specific heat capacity. Partitioning the heat capacity by the measure of substance in moles yields its molar heat capacity. The volumetric heat capacity measures the heat capacity per volume.
Melting of ice is basically the process of changing solid ice to liquid water of the same temperature.
We know that, heat of fusion of solid water $ = 332KJ/Kg $
And specific heat of liquid water $ = 4.18J/g^\circ C $
Now, in order to melt $ 250grams $ of ice we need $ = \dfrac{{332 \times 250}}{{1000}} = 83KJ $ .

Note:
At the point when a substance changes over from a solid-state to a liquid state, the adjustment in enthalpy is positive. Be that as it may if the substance is changing from a fluid state to a solid-state the adjustment in enthalpy is negative. This cycle is normally known as freezing and results in the atoms inside the substance getting more ordered.