The atomic mass of hafnium is 178.55 amu based on the mass of the given isotopes.
To determine the average atomic mass of hafnium, we first determine the mass fractions of the isotopes as follows;
m(1) = 5 ÷ 100 = 0.05
m(2) = 19 ÷ 100 = 0.19
m(3) = 27 ÷ 100 = 0.27
m(4) = 14 ÷ 100 = 0.14
m(5) = 35 ÷ 100 = 0.35
Now the average atomic mass of hafnium can be calculated by the addition of the products of the mass fractions of the isotopes and their respective atomic masses.
Average atomic mass = [m(1) × 176] + [m(2) × 177] + [m(3) × 178] + [m(4) × 179] + [m(5) × 180]
Average atomic mass = (0.05 × 176) + (0.19 × 177) + (0.27 × 178) + (0.14 × 179) + (0.35 + 180)
Average atomic mass = 8.8 + 33.63 + 48.06 + 25.06 + 63
Average atomic mass = 178.55
Hence the average atomic mass of Hafnium is calculated to be 178.55 amu.
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