Answer
There are 14.1 moles of $C_2H_6O$ in $8.50 \times 10^{24}$ molecules of that.
Work Step by Step
1. State the data and objective:
$8.50 \times 10^{24}$ molecules of $C_2H_6O$
Objective: Number of $C_2H_6O$ moles.
2. Identify the conversion factor.
Using Avogadro's number:
1 mole $(X)$ $= 6.02 \times 10^{23}$ $(X)$ $molecules$
$\frac{1 mole (X)}{6.02 \times 10^{23} molecules (X)}$ and $\frac{6.02 \times 10^{23} molecules (X)}{1 mole (X)}$
3. Use the conversion factor and the data to calculate the number of $C_2H_6O$ moles:
$8.50 \times 10^{24} molecules (C_2H_6O) \times \frac{1 mole (C_2H_6O)}{6.02 \times 10^{23} molecules (C_2H_6O)} = 14.1moles(C_2H_6O)$