What is the molar mass of pentane if 4.18 × 10¹⁶ molecules of pentane weigh 5.00 μg?

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Quizplus · Accepted Answer

The molar mass of pentane can be calculated by first determining the number of moles in 4.18 × 10^16 molecules, then using the given mass to find the molar mass. Avogadro's number (6.022 × 10^23 mol^-1) is used to convert molecules to moles. The calculation is as follows: Number of moles = (4.18 × 10^16 molecules) / (6.022 × 10^23 molecules/mol) = 6.94 × 10^-8 mol. The mass of these moles is given as 5.00 μg = 5.00 × 10^-6 g. Molar mass = mass / moles = (5.00 × 10^-6 g) / (6.94 × 10^-8 mol) ≈ 72.0 g/mol.

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