Question

How many grams does 5.60 x 10 to the 22 molecules of SiO2 weigh

Answer 1

Multiply n by M to convert to the mass, m:

m = n × M = (0.09299 mol)/1 × (60.083 g)/(1 mol) = 5.5871 g

Step-by-step explanation:

Convert from molecules into grams:

5.6×10^22 molecules silicon dioxide (SiO2)

Determine the number of molecules, N_molecules:

N_molecules = 5.6×10^22 molecules

Look up Avogadro's constant, N_A, to find the number of molecules in a mole:

N_A = 6.022×10^23 molecules/mol

Divide N_molecules by N_A to convert to the amount of substance, n:

n = N_molecules/N_A = N_molecules/1 × 1/N_A = (5.6×10^22 molecules)/1 × (1 mol)/(6.022×10^23 molecules) = 0.09299 mol

Calculate the molar mass, M, of SiO_2:

M = 60.083 g/mol