Mole: One mole of any species (Atoms, molecules, ions or particles) is that quantity in number having a mass equal to its atomic or molecules mass in grams.

(a) We will convert 1.0505 × 10²³ atoms of C into number of moles:

We know, 1 mole = 6.022 × 10²³(N_a = Avogadro’s number)

Number of moles = 0.5

Thus, the number of moles in 3.011 × 10²³ atoms of C is 0.5.

(b) Given mass: 32g

Molar mass of oxygen gas (O₂) = 2 × atomic mass of oxygen = 2 × 16 u = 32g /mol

To calculate the number of moles, we will apply the formula given below:

Number of mole = 1

Thus, the number of mole in 32 g of oxygen gas is 1.