How many moles of sugar are contained in a 10lb bag of sugar if the sugar has the formula C12H22O11
Convert 10 lb to grams.
10 lbs x (?g/lb) = ? grams sugar.
Then mols sugar = grams/molar mass = ?
To calculate the number of moles of sugar contained in a 10lb bag, we first need to determine the molar mass of the sugar. The molar mass is the mass of one mole of a substance and is calculated by summing the atomic masses of each element in its chemical formula.
The chemical formula for sugar is C12H22O11. Let's find the atomic masses of carbon (C), hydrogen (H), and oxygen (O) from the periodic table:
Carbon (C): 12.01 g/mol
Hydrogen (H): 1.01 g/mol
Oxygen (O): 16.00 g/mol
Now, we can calculate the molar mass of sugar by multiplying the number of atoms of each element by their respective atomic masses and summing them up:
12(12.01 g/mol) + 22(1.01 g/mol) + 11(16.00 g/mol) = 342.34 g/mol
The molar mass of sugar is approximately 342.34 g/mol.
Since we have the mass of the sugar in pounds, we first need to convert it to grams. There are 453.592 grams in one pound, so:
10 lb * 453.592 g/lb = 4535.92 g
Now, we can use the molar mass to calculate the number of moles of sugar:
Number of moles = Mass of sugar (g) / Molar mass (g/mol)
Number of moles = 4535.92 g / 342.34 g/mol
Number of moles ≈ 13.25 mol
Therefore, there are approximately 13.25 moles of sugar in a 10lb bag.