Question

On another planet, the isotopes of titanium have the given natural abundances. Isotope Abundance Mass (u) 46Ti 77.600% 45.95263 48Ti 16.100% 47.94795 50Ti 6.300% 49.94479 What is the average atomic mass of titanium on that planet?

Answer 1

Answer: Average atomic mass of titanium on that planet is 46.52

Explanation:

Mass of isotope Ti-46 = 45.95263

% abundance of isotope Ti-46  = 77.600 % = $\frac{77.600}{100}=0.776$

Mass of isotope Ti- 48= 47.94795

% abundance of isotope Ti-48 = 16.100%= $\frac{16.100}{100}=0.161$

Mass of isotope Ti- 50 = 49.94479

% abundance of isotope Ti-50  = 6.300%= $\frac{6.300}{100}=0.063$

Formula used for average atomic mass of an element :

$\text{ Average atomic mass of an element}=\sum(\text{atomic mass of an isotopes}\times {{\text { fractional abundance}})$

$Z=\sum[(45.95263 \times 0.776)+(47.94795 \times 0.161)+(49.94479\times 0.063)$

$Z=46.52$

Average atomic mass of titanium on that planet is 46.52