Verified Answer :

Answer:

3.01 × 10²³ molecules

Explanation:

To calculate the number of molecules in 16g of oxygen, we first have to find the number of moles of gas present.

The following formula must be used:

\(\boxed{\mathrm{no. \ of. \ moles = \frac{mass}{molar \ mass}}}\).

A molecule of oxygen has a molar mass of 32 since one molecule comprises two oxygen atoms, each with a molar mass of 16. Therefore, using the above formula:

no. of moles = \(\frac{16}{32}\)

                     = 0.5 moles

Now that we know the number of moles present, we can use the following formula to calculate the number of molecules:
\(\boxed{\mathrm{no. \ of \ molecules = no. \ of \ moles \times Avogadro's \ constant}}\)

where Avogadro's constant = \(6.02\times10^{23}\).

Using the formula above,

no. of molecules = \(0.5\times 6.02\times10^{23}\)

                            = \(\bf3.01\times10^{23}\) molecules

Therefore, there are 3.01 × 10²³ molecules in 16g of oxygen gas.