If a sample of pure sodium has a mass of 8.2 grams and sodium has an average atomic mass of 22.99 g/mol, how many sodium atoms are there in the sample?

Verified Answer :

8.2 grams X (1 mol/23 grams) X 6.02 X 10^23 atoms/mole = 2.15 X 10^23 atoms

Answer:

There are \(2.148\times 10^{23} atoms\) of sodium.

Explanation:

Mass of sodium = 8.2 g

Molar mass of sodium = 22.99 g/mol

Moles of sodium = \(\frac{8.2 g}{22.99 g/mol}=0.3567 mol\)

1 mole = \(N_A=6.022\times 10^{23} atoms\)

Number of sodium atoms in 0.3567 moles = N

\(N=0.3567\times 6.022\times 10^{23} atoms=2.148\times 10^{23} atoms\)