How many kilojoules of heat are required to melt a 10.0 g popsicle at 0 degress C? Assume the popsicle has the same molar mass and heat of fusion as water.
Could someone tell me what equation to use to solve this or the steps?
Thank You.
1) Convert H2O to moles
10.0g x (1 mol/18.02 g (the molar mass of water)) = .555 mol
2) Convert moles to kJ by multiplying by the heat of fusion
.555 moles x (6.01kJ/1mol) = 3.34 kJ
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Mass of melted popsicle
To solve this question, you can use the equation:
q = m * ΔHf
where q represents the amount of heat required, m is the mass of the substance being melted, and ΔHf is the heat of fusion.
In this case, the mass of the popsicle, m, is given as 10.0 g. The heat of fusion, ΔHf, is the amount of heat required to melt one mole of a substance and is equal to the molar mass of the substance.
Since the popsicle has the same molar mass and heat of fusion as water, we can use the molar mass of water (18.015 g/mol) and the heat of fusion of water (6.02 kJ/mol) to calculate the heat required to melt the popsicle.
1. Calculate the moles of the popsicle:
moles = mass / molar mass
moles = 10.0 g / 18.015 g/mol
2. Calculate the heat required:
q = moles * ΔHf
q = (10.0 g / 18.015 g/mol) * 6.02 kJ/mol
3. Convert the units if needed:
In this case, the units are already in kilojoules (kJ), so no conversion is necessary.
4. Calculate the final answer:
Substitute the values into the equation and solve for q:
q = (10.0 g / 18.015 g/mol) * 6.02 kJ/mol
By following these steps and using the given information, you can calculate the number of kilojoules of heat required to melt the 10.0 g popsicle at 0 degrees Celsius.