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?

Respuesta :

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 % = [tex]\frac{77.600}{100}=0.776[/tex]

Mass of isotope Ti- 48= 47.94795

% abundance of isotope Ti-48 = 16.100%= [tex]\frac{16.100}{100}=0.161[/tex]

Mass of isotope Ti- 50 = 49.94479

% abundance of isotope Ti-50  = 6.300%= [tex]\frac{6.300}{100}=0.063[/tex]

Formula used for average atomic mass of an element :

[tex]\text{ Average atomic mass of an element}=\sum(\text{atomic mass of an isotopes}\times {{\text { fractional abundance}})[/tex]

[tex]Z=\sum[(45.95263 \times 0.776)+(47.94795 \times 0.161)+(49.94479\times 0.063)[/tex]

[tex]Z=46.52[/tex]

Average atomic mass of titanium on that planet is 46.52

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