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How much energy is required to melt 20 g of water starting at 0 o C?
(△H vap = 2265 J/g, △H fus = 334 J/g, c = 4.18 J/go C )


Sagot :

The energy required to melt 20 g of water (ice) starting at 0° C is 6680 J.

What is Heat?

Heat is a form of energy that is possessed by a system by virtue of its temperature. Its unit is Joule.

Enthalpy is the amount of the heat content of a system.

What is Heat Capacity?

It is the amount of heat required to increase the temperature of a system by 1° C. It is an extensive property. Its unit is J/°C

Heat Capacity is given by

[tex]c= \frac{q}{\Delta T}[/tex]

where q = heat required

[tex]\Delta T[/tex] = change in temperature

Enthalpy of Fusion is the enthalpy change when 1 mole of a solid substance changes into its liquid state at its melting point.

Here, water in solid form (ice) melts into liquid form at 0°C

[tex]H_{2} O (s) \rightarrow H_{2} O(l) \\\Delta H_{fus } =334Jg^-^1[/tex]

We know,

[tex]\Delta H = \frac{m}{q}\\[/tex]

where m =  given mass

q = heat required

[tex]q = \Delta H \times m[/tex]

q = 334 [tex]Jg^-^1[/tex] x 20 g

    = 6680 J

Thus, the heat required to melt 20 g of water at 0°C is 6680 J

Learn more about Enthalpy:

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