Given that 5.38 × 10^{16} molecules of 1-butene have a mass of 5.00 μg, what is the molar mass of 1-butene?

• A. 28.0 g/mol
• B. 44.1 g/mol
• C. 72.1 g/mol
• D. 56.1 g/mol

Answer: (D)

Verified step by step guidance

1. Identify the given information: the number of molecules of 1-butene is \$5.38 \times 10^{16}\( molecules, and the mass of these molecules is 5.00 \)\mu$g (micrograms).
2. Convert the mass from micrograms to grams to keep units consistent. Recall that \$1\ \mu g = 1 \times 10^{-6}$ g, so calculate the mass in grams.
3. Calculate the number of moles of 1-butene molecules using Avogadro's number, which is \$6.022 \times 10^{23}\( molecules per mole. Use the formula: \)moles = \frac{\text{number of molecules}}{6.022 \times 10^{23}}$
4. Determine the molar mass by dividing the mass in grams by the number of moles calculated: \(\text{Molar mass} = \frac{\text{mass in grams}}{\text{moles}}\)
5. Express the molar mass in grams per mole (g/mol) and compare it to the given options to identify the correct molar mass of 1-butene.