The enthalpy of fusion of titanium is 20.9 kJ/mol. How many grams of titanium can be...

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The enthalpy of fusion of titanium is 20.9 kJ/mol. How manygrams of titanium can be melted by adding 58.0 kJ of energy to themetal at its melting point?

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Ans. Given, enthalpy of fusion of titanium = 20.9 kJ, that is 1 mol titanium requires 20.9 kJ energy to change its physical forms from solid to liquid state, i.e. melting.

Now,Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â 20.9 kJ energy melts 1 mol titanium

Â Â Â Â Â Â Â Â Â Â Â Or, 1 kJ -Â Â Â Â Â Â Â Â Â Â -Â Â Â Â (1 mol / 20.9 kJ)

Â Â Â Â Â Â Â Â Â Â Â 58.0 kJ -Â Â Â Â Â Â Â Â Â Â -Â Â Â Â Â Â 1 mol / 20.9 kJ) x 58.0 kJ

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2.775 moles Ti

Mass of 2.775 moles titanium = Moles x atomic mass

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 2.775 moles x (47.867 g mol^-1)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 132.830925 g

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 132.83 g

Thus, 58.0 kJ energy melts 132.83 g titanium metal.

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