Answer : The average atomic mass of Ti is, 46.86 amu
Explanation :
Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.
Formula used to calculate average atomic mass follows:
[tex]\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i[/tex]
As we are given that,
Mass of isotope [tex]^{46}Ti[/tex] = 45.95263 amu
Percentage abundance of isotope [tex]^{46}Ti[/tex] = 70.300 %
Fractional abundance of isotope [tex]^{46}Ti[/tex] = 0.70300
Mass of isotope [tex]^{48}Ti[/tex] = 47.94795 amu
Percentage abundance of isotope [tex]^{48}Ti[/tex] = 13.700 %
Fractional abundance of isotope [tex]^{48}Ti[/tex] = 0.13700
Mass of isotope [tex]^{50}Ti[/tex] = 49.94479 amu
Percentage abundance of isotope [tex]^{50}Ti[/tex] = 16.000 %
Fractional abundance of isotope [tex]^{50}Ti[/tex] = 0.16000
Now put all the given values in above formula, we get:
[tex]\text{Average atomic mass of element}=\sum[(45.95263\times 0.70300)+(47.94795\times 0.13700)+(49.94479\times 0.16000)][/tex]
[tex]\text{Average atomic mass of element}=46.86amu[/tex]
Therefore, the average atomic mass of Ti is, 46.86 amu
