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What is the mass in grams of 9.06 X 10^24 molecules of methanol (CH3OH)?

User Mateo Lara
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2 Answers

6 votes
the answer is 482.06g . . .

(9.06*10^24)(1mole/6.022*10^23)((MolarMass of CH3OH)/1mole) = 482.0606045g
User Patze
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4 votes

Step-by-step explanation:

As we know that according to Avogadro, 1 mole of an atom contains
6.022 * 10^(23) atoms.

So, number of atoms given in the methanol are
9.06 * 10^(24). Hence, calculate the number of moles present as follows.

No. of moles =
(9.06 * 10^(24)atoms)/(6.022 * 10^(23) atoms/mol)

= 15.04 mol

As molar mass of methanol is 32.04 g/mol. Hence, the mass of given methanol is as follows.

No. of moles =
\frac{mass}{\text{molar mass}}

15.04 mol =
(mass)/(32.04 g/mol)

mass = 481.28 g

Thus, we can conclude that mass of
9.06 * 10^(24) molecules of methanol (
CH_(3)OH) is 481.28 g.

User Moin Zaman
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8.0k points