Question

On another planet, the isotopes of titanium have the given natural abundances. Isotope Abundance Mass (amu) 46Ti 72.000% 45.95263 48Ti 14.300% 47.94795 50Ti 13.700% 49.94479 What is the average atomic mass of titanium on that planet?

Answer 1

Answer:

46.784886 amu is the average atomic mass of titanium on that planet.

Explanation:

Fractional abundance of Ti-46 =72.000% = 0.72000

Atomic mass of Ti-46 = 45.95263 amu

Fractional abundance of Ti-48 =14.300% = 0.14300

Atomic mass of Ti-48 = 47.94795 amu

Fractional abundance of Ti-50 =13.700% = 0.13700

Atomic mass of Ti-50 = 49.94479 amu

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

Average atomic mass of titanium atom:

$0.72000\times 45.95263 amu+0.14300\times 47.94795 amu+0.13700\times 49.94479 amu=46.784886 amu$

46.784886 amu is the average atomic mass of titanium on that planet.