A sample of iron (Fe) with a mass of 200. 0 g releases 9,840 cal when it freezes at its freezing point. What is the molar heat of fusion for iron? Use q equals n delta H. 2,747. 7 cal/mol 2,771. 8 cal/mol 2,811. 7 cal/mol 3,280. 0 cal/mol.

Respuesta :

The molar heat of fusion of iron is 2,747.7 cal/mol. Thus, option A is correct.

Molar heat of fusion is the amount of heat required to convert 1 gram of substance from liquid to solid.

The molar heat of fusion is given as:

[tex]q=\dfrac{m}{molar\;mass} \;\times \Delta H[/tex]

Computation for molar heat of fusion

The given sample has mass, m 200 g.

The molar mass of iron is 55.845 g/mol

The amount of heat released, q is  9,840 cal

The molar heat of fusion ([tex]\Delta H[/tex]) is given by substituting the values as:

[tex]\rm 9,840\;cal= \dfrac{200\;g}{55.845 \;g/mol} \times\;\Delta H\\\\\Delta H=\dfrac{9,840\;cal\;\times\;55.845 \;g/mol}{200\;g} \\\\\Delta H=2,747.7 \;cal/mol[/tex]

The molar heat of fusion of iron is 2,747.7 cal/mol. Thus, option A is correct.

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Answer:

he molar heat of fusion of iron is 2,747.7 cal/mol.

Explanation: