How would the number of atoms in a 2.02g sample of hydrogen compare to the number of atoms in a 32.00g sample of oxygen

Number of atoms is equal.

Explanation:

1 mol of anything contains NA particles.

NA is known as Avogadro's number, 6.02×10²³

We determined the moles of each compound. Both molecules are dyatomic,

H₂  → 2.02 g . 1mol / 2.016 g = 1 mol

O₂ →  32 g . 1mol / 32g = 1 mol

Both have the same amount of moles.

In conclussion, the number of atoms is the same in both samples.

No because of the equation Hydrogen is brought out of it. This will make the equation uneven therefor it is invalid.

Explanation: