The molecular mass of octane is 114.22 g/mol. What is the mass of 22.05 mol of octane? 5.180 g 22.05 g 114.22 g 2,518 g
The Correct Answer and Explanation is:
To calculate the mass of 22.05 mol of octane (C8H18), we need to use the relationship between moles, molar mass, and mass: Mass=Moles×Molar Mass\text{Mass} = \text{Moles} \times \text{Molar Mass}Mass=Moles×Molar Mass
From the problem:
- The molar mass of octane is given as 114.22 g/mol.
- The number of moles is 22.05 mol.
Now, substitute these values into the formula: Mass=22.05 mol×114.22 g/mol\text{Mass} = 22.05 \, \text{mol} \times 114.22 \, \text{g/mol}Mass=22.05mol×114.22g/mol Mass=2,518.5 g\text{Mass} = 2,518.5 \, \text{g}Mass=2,518.5g
Therefore, the mass of 22.05 mol of octane is 2,518 g.
Explanation:
- The molar mass of a compound is the mass of one mole of that substance, measured in grams per mole (g/mol). For octane, the molar mass is 114.22 g/mol.
- When you multiply the number of moles (22.05 mol) by the molar mass (114.22 g/mol), the units of moles cancel out, and you’re left with grams. This gives you the mass of the substance in grams.
- This approach is commonly used in chemistry to convert between moles and mass.
In this case, 2,518 g is the correct answer.
