Question

convert 18.043*10^23molecules of so2 into moles

Answer 1

Hello there!

We have to use a formula $n=\dfrac{N}{N_{A}}$, where:

   $n=$ number of moles

   $N=$ number of particles

   $N_{A}=$ Avogadro's constant $=6.022 \times 10^{23}$

We know that no. of molecules  $N=18.043 \times 10^{23}$.

In this case, we only have to substitute the given values into the formula. So, the result will be:

$n = \dfrac{N}{N_{A}}$

$n = \dfrac{18.043 \times 10^{23}}{6.022 \times 10^{23}}$

$n = \dfrac{18.043}{6.022}$

$n = 2.996$

$n \approx 3$

So therefore, there are 3 moles in $18.043 \times 10^{23}$ molecules of $SO_{2}$.

In fact, this will apply to any compound. Few examples:

• Convert $18.043 \times 10^{23}$ molecules of $SO_{2}$ into moles.
• Convert $18.043 \times 10^{23}$ molecules of $CO_{2}$ into moles.
• Convert $18.043 \times 10^{23}$ molecules of $H_{2}O$ into moles.
• Convert $18.043 \times 10^{23}$ molecules of $O_{2}$ into moles.
• Convert $18.043 \times 10^{23}$ molecules of $S_{8}$ into moles.

All the above examples have the same answer.

The number of molecules and the number of moles given is only a number, and not specific to any compound. This is why you can use any compound/element/particle type and the concept applied and the result will be the same.