Counting Atoms in Sulfur Dioxide: From Moles to Molecules

Step 1 of 2

One mole of any substance contains a certain number of its elementary units. That number is called Avogadro’s number and its value is \(6.023 \times 10^{23}\).

Therefore, we can say that one mole of \(SO_2\) contains \(6.023 \times 10^{23}\) molecule of \(SO_2\)

Now, we can calculate the number of molecules in 1.75 mol of \(SO_2\)

\(\begin{aligned}1\mathrm{\ mole}\text{ of }\mathrm{SO}_2&=6.023\times10^{23}\text{ molecules of }\mathrm{SO}_2\\ 1.75\mathrm{\ mol}\text{ of }\mathrm{SO}_2&=1.75\times6.023\times10^{23}\text{ molecules of }\mathrm{SO}_2\\ &=1.05\times10^{24}\text{ molecules of }\mathrm{SO}_2\end{aligned}\)