To calculate the total energy required to convert a solid to a gas using heat ca

Question

To calculate the total energy required to convert a solid to a gas using heat capacity, heat of fusion, and heat of vaporization. The amount of heat required to melt one mole of a solid is called the heat of fusion (Hfus). The amount of heat required to vaporize (boil) one mole of a liquid is called the heat of vaporization (Hvap). The heat of fusion and the heat of vaporization can be used to calculate the amount of heat needed to melt or vaporize, respectively, a given amount of substance. For example, the heat of fusion for H2O is 6.02 kJ/mol,which means that 6.02 kJ of heat is needed to melt a mole of ice. Twice as much heat is needed to melt twice as much ice, as shown here: 2.00 mol×6.02 kJ/mol=12.0 kJ

Explanation / Answer

heat of fusion= 6.02Kj/mole

mass of ice= 51 gm, since heat of fusion is given in Kj/mole, for calculating the heat needed, the mass of water needed to be converted to moles. moles of ice= mass of ice/18= 51/18= 2.83 moles

heat needed to be supplied to heat 2.83 moles of ice= moles of ice* heat of fusion= 2.83*6.01 Kj=17 KJ

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