HOW MANY GRAMS OF ice at 0oc can be melted into water at 0oc by the additon of 75.0 of heat ? hfus = 6.01 kj/mo
To determine the number of grams of ice that can be melted by the addition of heat, we need to use the heat of fusion (hfus), which is the amount of heat required to melt a given quantity of substance.
Given:
- Heat of fusion (hfus) = 6.01 kJ/mol
- The quantity of heat added = 75.0 J
To calculate the mass of ice that can be melted, we will follow these steps:
Step 1: Convert the heat added from J to kJ:
75.0 J ÷ 1000 = 0.075 kJ
Step 2: Determine the number of moles of ice using the heat of fusion:
Number of moles = Heat (in kJ) ÷ Heat of fusion (in kJ/mol)
Number of moles = 0.075 kJ ÷ 6.01 kJ/mol
Step 3: Use the molar mass of water (H2O) to convert moles to grams:
Molar mass of water = 18.015 g/mol (2 hydrogen atoms with atomic weight 1.008 g/mol, and 1 oxygen atom with atomic weight 16.00 g/mol)
Mass of ice = Number of moles × Molar mass of water
By substituting the values, we can calculate the mass of ice that can be melted.