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Question

For a liquid, enthalpy of fusion is 1.435 kcal mol1 and molar entropy change is 5.26 cal mol1K1 The melting point of the liquid is:

A
100C
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B
0C
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C
273C
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D
373C
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Solution

The correct option is B 0C
We know that,
Sfusion=HfusionTm.p.
Tm.p. is the melting point.
Hfusion=1435 cal/mol

putting all the values,
Tm.p.=14355.26=273K=0C


Theory:

Entropy Calculation with phase transformation:
Phase change occurs at constant Pressure & Temperature and is considered reversible if it occurs at its transition temperature.

Entropy change for Fusion:
At constant pressure, q=qp = ΔH
ΔSfusion = ΔHfusionTm.p. where T is melting point of a substance.

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