Answer
There are $3.01 \times 10^{23} atoms$ of carbon (C) in 0.500 mole of that.
Work Step by Step
1. State the data and objective:
$0.500$ mole of $C$
Objective: Number of C atoms.
2. Identify the conversion factor.
Using Avogadro's number:
1 mole $C$ $= 6.02 \times 10^{23}$ $C$ $atoms$
$\frac{1 mole (C)}{6.02 \times 10^{23} atoms (C)}$ and $\frac{6.02 \times 10^{23} atoms (C)}{1 mole (C)}$
3. Use the conversion factor and the data to calculate the number of C atoms:
$0.500 mole (C) \times \frac{6.02 \times 10^{23} atoms (C)}{1 mole(C)} = 3.01 \times 10^{23} atoms (C)$