Calculate the atomic mass of silicon given the mass and natural occurrence of each isotope. Round your answer to the hundredths place.
The atomic mass of silicon can be calculated by considering the natural abundance of its isotopes and their respective masses.
Isotope | Natural Abundance (%) | Mass (u)
-------------------------------------------------
Si-28 | 92.23 | 27.9769
Si-29 | 4.67 | 28.9765
Si-30 | 3.1 | 29.9738
To calculate the atomic mass, we use the formula:
Atomic mass = (Natural abundance * Mass) + (Natural abundance * Mass) + ...
Atomic mass = (0.9223 * 27.9769) + (0.0467 * 28.9765) + (0.031 * 29.9738)
= 25.768087 + 1.354577 + 0.928372
≈ 28.05
Therefore, the atomic mass of silicon is approximately 28.05 amu.