Question

learning: molecules and compounds calculations
question ⓘ
mole is a latin word for \pile.\ more specifically, a mole is a pile that contains $6.022 \times 10^{23}$ particles or objects. these particles are typically atoms,
molecules, or ions. a mole is a counting number that means $6.022 \times 10^{23}$ just
as a dozen means 12.
with this in mind, we can now create a conversion factor that can be used to
determine the number of particles in a mole (or \pile\) or vice versa.
$\frac{6.022 \times 10^{23}\text{ particles}}{1\text{ mole}}$ or $\frac{1\text{ mole}}{6.022 \times 10^{23}\text{ particles}}$
when using this conversion factor, you will replace \particles\ with the
chemical identity of the substance you are using, as well as identifying if the
substance is found as atoms, molecules, or ions.
calculate the number of moles of cobalt, co, if you begin with $7.36 \times 10^{23}$
answer
1.22 moles of co
0.820 moles co
$8.20 \times 10^{-47}$ moles of co
$1.22 \times 10^{46}$ moles of co
i dont know yet

Explanation:

Step1: Identify conversion factor

We use $\frac{1\ \text{mole}}{6.022 \times 10^{23}\ \text{particles}}$ to convert atoms to moles.

Step2: Multiply by given atom count

Multiply the number of Co atoms by the conversion factor:
$$7.36 \times 10^{23}\ \text{Co atoms} \times \frac{1\ \text{mole Co}}{6.022 \times 10^{23}\ \text{Co atoms}}$$

Step3: Calculate the result

Cancel units and compute:
$$\frac{7.36}{6.022} \approx 1.22$$

Answer:

1.22 moles of Co