Homework6 - MSE 110 Problem Set 6 Problem 1 Using the molar...

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MSE 110 Problem Set 6 Problem 1 Using the molar mass and density from your periodic table, calculate how many atoms there are in 1 m 3 of sodium? [Answer in number] Ans : The density of sodium is 0.97 g/cm 3 and the molar mass is 22.98 g/mol therefore there are 3 23 3 / 10 02 . 6 / 99 . 22 / 97 . 0 cm atoms mol g cm g × in sodium. There is 10 6 cm 3 in 1m 3 therefore there are 3 28 6 23 3 / 10 54 . 2 10 10 02 . 6 / 99 . 22 / 97 . 0 m atoms mol g cm g = × × Problem 2 Following a similar procedure as in problem 1, calculate the charge carrier density n of Mg. [Answer in m -3 ] Ans : The density of Mg is 1.74 g/cm 3 and the molar mass is 24.305 g/mol therefore there are 3 23 3 / 10 02 . 6 / 305 . 24 / 74 . 1 cm atoms mol g cm g × in Mg. There is 10 6 cm 3 in 1m 3 therefore there are 3 28 6 23 3 / 10 31 . 4 10 10 02 . 6 / 305 . 24 / 74 . 1 m atoms mol g cm g = × × Each Mg provides 2 valence electrons to the charge carrier density, hence n = 2×4.31·10 28 = 8.62·10 28 electrons /m 3 1
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Homework6 - MSE 110 Problem Set 6 Problem 1 Using the molar...

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