Question

Calculate the energy needed to melt 3.6 g of ice at 0°C. The molar heat of fusion for ice at 0°C is 6.02 kJ/mol.

a. 1.2 kJ
b. 30 kJ
c. 2.2 kJ
d. 20 kJ
e. 0.6 kJ

Answer 1

To melt 3.6 g of ice at 0°C, approximately 1.2 kJ of energy is needed.

Step-by-step explanation:

To calculate the energy needed to melt 3.6 g of ice at 0°C, we can use the molar heat of fusion for ice at 0°C, which is 6.02 kJ/mol. First, we need to convert the mass of ice to moles by dividing it by the molar mass of ice. The molar mass of ice is 18.015 g/mol. So, 3.6 g of ice is equivalent to 3.6 / 18.015 = 0.1996 moles of ice.

Next, we can multiply the moles of ice by the molar heat of fusion to calculate the energy needed to melt the ice:

Energy = 0.1996 moles * 6.02 kJ/mol = 1.200792 kJ

Therefore, the energy needed to melt 3.6 g of ice at 0°C is approximately 1.2 kJ.