QuestionCalculate the number of MOLECULES in 3.16 moles of nitrogen dioxide ( $NO_2$ ).

Studdy Solution

STEP 1

Assumptions1. We are given the amount of nitrogen dioxide in moles, which is3.16 moles. . We are asked to find the number of molecules.
3. We know that one mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately $6.022 \times10^{23}$ .

STEP 2

We can find the number of molecules 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.
$Number\, of\, molecules =3.16\, moles \\times6.022 \\times10^{23}\, molecules/mole$

STEP 4

Calculate the number of molecules.
$Number\, of\, molecules =3.16\, moles \\times6.022 \\times10^{23}\, molecules/mole =1.90 \\times10^{24}\, molecules$ There are $1.90 \times10^{24}$ molecules of nitrogen dioxide in3.16 moles of this compound.

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