It takes 333.51 joules to melt exactly 1 gram of H2O. What is the molar heat of fusion for water, from this data?
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To find the molar heat of fusion for water, we need to convert the given quantity of energy (333.51 joules) to moles of water.
1. First, we need to determine the molecular weight of water (H2O). The atomic masses of hydrogen (H) and oxygen (O) are approximately 1 and 16 grams per mole, respectively. So the molecular weight of water is 2(1 g/mol) + 16 g/mol = 18 g/mol.
2. Next, we calculate the number of moles of water using the given mass of 1 gram. We divide the mass by the molecular weight: 1 g / 18 g/mol = 0.0556 moles.
3. Finally, we divide the energy (in joules) by the number of moles to find the molar heat of fusion. So, 333.51 J / 0.0556 mol ≈ 6000 J/mol.
Therefore, the molar heat of fusion for water, based on the given data, is approximately 6000 joules/mol.