Silicon has three naturally occurring isotopes: Si-28 with mass 27.9769 amu and a natural abundance of 92.21%, Si-29 with mass 28.9765 amu and a natural abundance of 4.69%, and Si-30 with mass 29.9737 amu and a natural abundance of 3.10%. Calculate the atomic mass of silicon.
answer : ( )amu
mass*% + mass*% + mass*% = avg atomic mass Si.
use the fraction instead of %;i.e., use 0.9221 instead of 92.21%
i don't know can you please help it is an summative from 32 please
28.09 amu
To calculate the atomic mass of silicon, we need to consider the masses and abundances of its isotopes.
Atomic mass (in amu) = (mass of isotope 1 × abundance of isotope 1) + (mass of isotope 2 × abundance of isotope 2) + (mass of isotope 3 × abundance of isotope 3)
Let's plug in the values:
Atomic mass = (27.9769 amu × 92.21%) + (28.9765 amu × 4.69%) + (29.9737 amu × 3.10%)
To calculate each term, multiply the mass of each isotope by its respective abundance:
= (27.9769 amu × 0.9221) + (28.9765 amu × 0.0469) + (29.9737 amu × 0.0310)
Now, calculate each term:
= 25.75831409 amu + 1.35967485 amu + 0.9292947 amu
Finally, add up the values to calculate the atomic mass:
= 27.04728364 amu
Therefore, the atomic mass of silicon is approximately 27.05 amu.