Final answer:
To find the number of PbO molecules produced by burning 1.0 mL of (C₂H₅)4Pb with a density of 0.48 g/mL, calculate the mass of (C₂H₅)4Pb, convert that mass to moles, then multiply by Avogadro's number to get molecules, assuming one mole of PbO per mole of (C₂H₅)4Pb.
Step-by-step explanation:
To determine how many molecules of PbO are generated by burning 1.0 mL of (C₂H₅)4Pb, we first need to calculate the mass of (C₂H₅)4Pb using its density. Given that the density is 0.48 g/mL, the mass for 1.0 mL is 0.48 grams.
Next, we need to know the molar mass of (C₂H₅)4Pb to convert the mass into moles. The molar mass can be calculated by summing the atomic masses of all atoms in the formula. Assuming we have calculated the molar mass and it is M grams per mole, we can compute the number of moles as:
Number of moles = 0.48 grams / M grams/mol
Once we have the number of moles of (C₂H₅)4Pb, we can use the balanced chemical reaction of the combustion to find the stoichiometric ratio between (C₂H₅)4Pb and PbO. Assuming the reaction gives one mole of PbO per mole of (C₂H₅)4Pb burned:
Number of moles of PbO = Number of moles of (C₂H₅)4Pb
To find the number of molecules of PbO, we then use Avogadro's number (6.022 × 10²³ molecules/mol), which is the number of molecules per mole:
Number of molecules of PbO = Number of moles of PbO × Avogadro's number
Therefore, you will get the number of molecules by multiplying the calculated moles of PbO with Avogadro's number.