An off-road vehicle goes 2055 miles and averages 22.5 miles per gallon of gasoline.If each gallon of fuel contains 0.10 g of lead and 50.0% of the lead in the gasoline is emitted into the atmosphere,how many lead atoms are released?

Question

Quizplus · Accepted Answer

First, calculate the total gallons of gasoline used: 2055 miles / 22.5 miles per gallon = 91.33 gallons. Each gallon contains 0.10 g of lead, so total lead = 91.33 gallons * 0.10 g/gallon = 9.133 g. Since 50% of the lead is emitted, the emitted lead = 9.133 g * 0.50 = 4.5665 g. Convert grams to moles: 4.5665 g / 207.2 g/mol (molar mass of lead) = 0.02204 mol. Convert moles to atoms: 0.02204 mol * 6.022 x 10^23 atoms/mol = 1.33 x 10^22 atoms.

An Off-Road Vehicle Goes 2055 Miles and Averages 22