QuestionFind the number of oxygen atoms in $5 \mathrm{~mol}$ of $\mathrm{CO}_{2}$ .

Studdy Solution

STEP 1

Assumptions1. We have5 moles of CO. Each molecule of CO contains atoms of oxygen3. Avogadro's number is $6.022 \times10^{23}$ , which is the number of atoms in one mole

STEP 2

First, we need to find the total number of molecules in5 moles of CO2. We can do this by multiplying the number of moles by Avogadro's number.
$Number\, of\, molecules = Number\, of\, moles \\times Avogadro's\, number$

STEP 3

Now, plug in the given values for the number of moles and Avogadro's number to calculate the number of molecules.
$Number\, of\, molecules =5 \\times6.022 \times10^{23}$

STEP 4

Calculate the total number of molecules in moles of CO2.
$Number\, of\, molecules = \\times6.022 \times10^{23} =3.011 \times10^{24}$

STEP 5

Now that we have the total number of molecules, we can find the total number of oxygen atoms. Since each molecule of CO2 contains2 atoms of oxygen, we multiply the total number of molecules by2.
$Number\, of\, oxygen\, atoms = Number\, of\, molecules \\times2$

STEP 6

Plug in the values for the number of molecules to calculate the number of oxygen atoms.
$Number\, of\, oxygen\, atoms =3.011 \times10^{24} \\times2$

STEP 7

Calculate the total number of oxygen atoms in5 moles of CO2.
$Number\, of\, oxygen\, atoms =3.011 \times10^{24} \\times2 =6.022 \times10^{24}$ There are $6.022 \times10^{24}$ atoms of oxygen in5 moles of CO2.

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