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

Step-by-step explanation:

Mass of isotope Ti-46 = 45.95263

% abundance of isotope Ti-46 = 77.600 % =
`(77.600)/(100)=0.776`

Mass of isotope Ti- 48= 47.94795

% abundance of isotope Ti-48 = 16.100%=
`(16.100)/(100)=0.161`

Mass of isotope Ti- 50 = 49.94479

% abundance of isotope Ti-50 = 6.300%=
`(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}* {{\text { fractional abundance}})`

`Z=\sum[(45.95263 * 0.776)+(47.94795 * 0.161)+(49.94479* 0.063)`

`Z=46.52`

Average atomic mass of titanium on that planet is 46.52