Question

Calculate the atomic mass of titanium. The five titanium isotopes have atomic masses and relative abundances of 45.953 amu (8.00%), 46.952 amu (7.30%), 47.948 amu (73.80%), 48.948 amu (5.50%), and 49.945 amu (5.40%).

Answer 1

The average mass of titanium is 47.949 amu

Step-by-step explanation:

Add all amu together, 239.746, then divide by 5 (the amount of isotopes given). This should result in 47.9492. Notice the significant figures have 6 digits, so this leaves it as 47.949 amu

Answer 2

The atomic mass of titanium is 47.88 u.

The average atomic mass of Ti is the weighted average of the atomic masses of its isotopes.

We multiply the atomic mass of each isotope by a number representing its relative importance (i.e., its % abundance).

Thus,

0.0800 × 45.953 u = 3.676 u

0.0730 × 46.952 u = 3.427 u

0.7380 × 47.948 u = 35.386 u

0.0550 × 48.948 u = 2.692 u

0.0540 × 49.945 u = 2.697 u

_________TOTAL = 47.88 u