Middle School

How many moles of cobalt (Co) atoms are there in [tex]6.00 \times 10^9[/tex] cobalt atoms?

Answer :

Answer:

In [tex]6.00 \times 10^9[/tex] of cobalt atoms there are [tex]6.00 \times 10^9[/tex] mol Co

Explanation:

Step 1 : Identify the relationship between 1 mole Cobalt and Avogadro's number of atoms.

[tex]1 \text{mole Cobalt } = 6.022 \times 10^{23} \text{ atoms of cobalt }[/tex]

Avogadro’s number is number of units present in one mole of any substance (defined as its molecular weight in grams)

Step 2: Divide the given atoms of cobalt by the number of atoms per mol.

Given atoms of cobalt is [tex]6.00 \times 10^9[/tex]

Now by performing division

Number of moles of cobalt (Co) atoms in [tex]6.00 \times 10^9[/tex] cobalt atoms is

= [tex]\frac{6.00 \times 10^9}{6.022 \times 10^{23}}[/tex]

= [tex]0.996 \times 10^9 \times 10^{-23}[/tex]

= [tex]0.996 \times 10^{9 -23}[/tex]

= [tex]0.996 \times 10^{-14}[/tex]