0:56 0:55 0:54 0:53 0:57 0:58 1:02 1:01 1:00 0:59 0:52 0:51 0:44 0:43 0:42 0:41 0:45 0:46 0:50 0:49 0:48 0:47 1:03 1:04 1:19 1:18 1:17 1:16 1:20 1:21 1:25 1:24 1:23 1:22 1:15 1:14 1:08 1:07 1:06 1:05 1:09 1:10 1:13 1:12 1:11 0:40 0:39 0:09 0:08 0:07 0:06 0:10 0:11 0:15 0:14 0:13 0:12 0:05 0:04 0:00 0:00 0:00 0:00 0:00 0:00 0:03 0:02 0:01 0:00 0:16 0:17 0:32 0:31 0:30 0:29 0:33 0:34 0:38 0:37 0:36 0:35 0:28 0:27 0:21 0:20 0:19 0:18 0:22 0:23 0:26 0:25 0:24 3:00 1:26 2:30 2:29 2:28 2:27 2:31 2:32 2:36 2:35 2:34 2:33 2:26 2:25 2:18 2:17 2:16 2:15 2:19 2:20 2:24 2:23 2:22 2:21 2:37 2:38 2:53 2:52 2:51 2:50 2:54 2:55 2:59 2:58 2:57 2:56 2:49 2:48 2:42 2:41 2:40 2:39 2:43 2:44 2:47 2:46 2:45 1:27 2:14 1:43 1:42 1:41 1:40 1:44 1:45 1:49 1:48 1:47 1:46 1:39 1:38 1:31 1:30 1:29 1:28 1:32 1:33 1:37 1:36 1:35 1:34 2:13 1:50 2:06 2:05 2:04 2:03 2:07 2:08 2:12 2:11 2:10 2:09 1:51 2:02 1:55 1:54 1:53 1:52 2:01 1:56 2:00 1:57 1:59 1:58 Do Now Three students take a quiz and receive the following grades: One student scores 95 One student scores 76 One student scores 63 Calculate the average score of the students
Atomic masses are calculated in a similar way. What would the average be if 100 students took the same quiz and received the following grades: Ninety seven students score 95 One student scores 76 Two students score 63 Atomic masses are calculated in a similar way.
Finding a weighted average Average Atomic Mass Finding a weighted average
Atomic Mass How heavy is an atom of oxygen? There are different kinds of oxygen atoms. Average Atomic Mass: Based on abundance of each element in nature. Don’t use grams because the numbers would be too small.
Atomic Mass Unit is the Atomic Mass Unit (amu) One twelfth the mass of a carbon-12 atom. Each isotope has its own atomic mass we get the average using percent abundance.
Calculating Average Atomic Mass (% as decimal x mass)= # (% as decimal x mass)= # (% as decimal x mass)=+ # #
Calculating Average Atomic Mass You have five rocks, 80% with a mass of 50 g, and 20% with a mass of 60 g. What is the average mass of the rocks? Average mass = (.80 x 50g)= 40g (.20 x 60g)=+12g 52g
Regents Questions Calculate the atomic mass of copper if copper has two isotopes. 69.1% has a mass of 62.93 amu and 30.9% has a mass of 64.93 amu.
Atomic Mass Is not a whole number because it is an average. This is the reason for decimal numbers on the periodic table.
Regents Questions Magnesium has three isotopes. 78.99% with a mass of 23.9850 amu, 10.00% with a mass of 24.9858 amu, and the rest with a mass of 25.9826 amu. What is the average atomic mass of magnesium?
Bellwork Carbon has two naturally occurring isotopes. 95.55% with a mass of 12.00amu and 4.45% with a mass of 14.00amu. What is the average atomic mass of Carbon?