Average Atomic Mass Average Atomic Mass The atomic

Average Atomic Mass

Average Atomic Mass The atomic masses reported in the periodic table represent the weighted average of the masses of the naturally occurring isotopes of that element

Weighted Avg. of Test Grades Suppose you have: 1 test of 0% and 9 tests of 90% What if I said your average was 45? (0 + 90 = 90; Divide by 2 = 45) Would you be happy?

NO! The long way to do this problem: (90 + 90 + 90 + 0) 10 Average = 81% I bet you like this a lot better!

The smart way to do this problem! grades of 90: 9 out of 10 is 90% grade 0 f 0: 1 out of 10 is 10% So 90% of the test grades are 90 10% of the test grades are 0 (0. 90 X 90) + (0. 10 X 0) = 81 + 0 Average = 81%

Weighted average: Smarter way to calculate the average if you have numerous items to average

Method of Weighted Averages ● ● ● Convert % to decimal format (Divide % by 100) Multiply each isotope’s abundance factor by its atomic mass Find the Sum

Avg. Atomic Mass of Chlorine has two isotopes. Percent Abundance Mass Isotope 1 75. 770% 34. 969 amu Isotope 2 24. 230% 36. 966 amu

Avg. Atomic Mass of Chlorine = (. 75770)(34. 969 amu) + Convert % to decimals (. 24230) (36. 966 amu) = 26. 496 amu + 8. 957 amu = 35. 453 amu Multiply by appropriate mass Sum

Avg. Atomic Mass of Chlorine To estimate the answer: 75% of Cl is 34. 969 amu & 25% of Cl is 36. 966 amu The final answer has to be between 34. 969 amu & 36. 966 amu, but closer to 34. 969 amu 35. 453 amu

Avg. Atomic Mass of Si 92. 21% of Si has a mass of 27. 97693 amu 4. 70% of Si has a mass of 28. 97649 amu 3. 09% of Si has a mass of 29. 97376 amu

Avg. Atomic Mass of Si 0. 9221 X 27. 97693 25. 7975 amu 0. 0470 X 28. 97649 1. 3619 amu + 0. 0309 X 29. 97376 0. 9262 amu 28. 0856 amu

Avg. Atomic Mass of Pb 1. 5% Pb-204 0. 015 X 204 amu: 3. 06 amu 23. 6% Pb-206 0. 236 X 206 amu: 48. 62 amu 22. 6% Pb-207 0. 226 X 207 amu: 46. 78 amu 52. 3% Pb-208 0. 523 X 208 amu: 108. 78 amu Sum 207. 24 amu