Question

What is the average atomic mass of titanium on that planet?

Answer 1

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:

$\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i$

As we are given that,

Mass of isotope $^{46}Ti$ = 45.95263 amu

Percentage abundance of isotope $^{46}Ti$ = 70.300 %

Fractional abundance of isotope $^{46}Ti$ = 0.70300

Mass of isotope $^{48}Ti$ = 47.94795 amu

Percentage abundance of isotope $^{48}Ti$ = 13.700 %

Fractional abundance of isotope $^{48}Ti$ = 0.13700

Mass of isotope $^{50}Ti$ = 49.94479 amu

Percentage abundance of isotope $^{50}Ti$ = 16.000 %

Fractional abundance of isotope $^{50}Ti$ = 0.16000

Now put all the given values in above formula, we get:

$\text{Average atomic mass of element}=\sum[(45.95263\times 0.70300)+(47.94795\times 0.13700)+(49.94479\times 0.16000)]$

$\text{Average atomic mass of element}=46.86amu$

Therefore, the average atomic mass of Ti is, 46.86 amu

Answer 2

45.95263 is the average