The percentage abundances of the three silicon isotopes are:
| Isotope |
Mass number |
Percentage abundance |
| Silicon-28 |
28 |
92.2% |
| Silicon-29 |
29 |
4.7% |
| Silicon-30 |
30 |
3.1% |
Calculate the relative atomic mass (A
r) of silicon. Show your working clearly and give your answer to one decimal place.
Model Answer -- 3(c)
Ar = sum of (isotope mass x percentage abundance) / 100 [1]
Ar = (28 x 92.2) + (29 x 4.7) + (30 x 3.1) / 100 [1]
Ar = (2581.6 + 136.3 + 93.0) / 100 = 2810.9 / 100 [1]
Ar = 28.1 (to 1 decimal place) [1]
⚠ If you missed marks here: Weight each mass number by its abundance; a plain average, (28 + 29 + 30) ÷ 3 = 29.0, ignores the fact that 92.2% of silicon atoms are silicon-28. Divide the total, 2810.9, by 100 and give one decimal place, 28.1 – leaving 2810.9 or rounding to 28 each cost a mark.