Question

1. titanium has five common isotopes: $^{46}ti (8.0%)$, $^{47}ti (7.8%)$, $^{48}ti (73.4%)$, $^{49}ti (5.5%)$, $^{50}ti (5.3%)$. what is the average atomic mass of titanium?

Explanation:

Step1: Recall average - atomic - mass formula

The average atomic mass of an element is the sum of the products of the mass number of each isotope and its relative abundance.

Step2: Calculate the contribution of each isotope

For $^{46}\text{Ti}$: $46\times0.08 = 3.68$
For $^{47}\text{Ti}$: $47\times0.078=3.666$
For $^{48}\text{Ti}$: $48\times0.734 = 35.232$
For $^{49}\text{Ti}$: $49\times0.055 = 2.695$
For $^{50}\text{Ti}$: $50\times0.053=2.65$

Step3: Sum up the contributions

$3.68 + 3.666+35.232 + 2.695+2.65=47.923$

Answer:

$47.923$