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The Mole. Q: how long would it take to spend a mole of $1 coins if they were being spent at a rate of 1 billion per second?. Mollionaire. Q: how long would it take to spend a mole of $1 coins if they were being spent at a rate of 1 billion per second? A: $ 6.02 x 10 23 / $1 000 000 000
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The Mole Q: how long would it take to spend a mole of $1 coins if they were being spent at a rate of 1 billion per second?
Mollionaire Q: how long would it take to spend a mole of $1 coins if they were being spent at a rate of 1 billion per second? A: $ 6.02 x 1023 / $1 000 000 000 = 6.02 x 1014 payments = 6.02 x 1014 seconds 6.02 x 1014 seconds / 60 = 1.003 x 1013 minutes 1.003 x 1013 minutes / 60 = 1.672 x 1011 hours 1.672 x 1011 hours / 24 = 6.968 x 109 days 6.968 x 109 days / 365.25 = 1.908 x 107 years A: It would take 19 million years
The Mole • Atomic Masses give information about # of p+, n0, e– 2. It is useful to associate atomic mass with a mass in grams. 3. It has been found that 1gH,12gC,or 23gNahave6.02x1023atoms 4. 6.02 x 1023 is a “mole” or “Avogadro’s number”
Comparing cobalt & sulfur Co S Mass 58.93 g 32.07 g # of moles? 1 mole of cobalt 1 mole of sulfur • # of atoms? 6.02x1023 6.02x1023
Molar mass • The mass of one mole is called “molar mass” • For ex. 1 mol Lithium = 6.94 g Lithium • This is expressed as 6.94 g/mol • 1 mol Titanium = 47.87 g/mol
Element g/mol g mol Iron 0.25 mol Bromine 53 g Calcium 3.50 mol Arsenic 15 g Converting between grams and moles • In order to convert from one to the other you must first determine the molar mass (g/mol) 55.85 13.96 g 79.90 0.66 mol 40.08 140.3 g 74.92 0.200 mol • Use the “US” set up for each conversion • 0.25 mol Fe = x g Fe • 1 mol Fe = 55.85 g Fe
Element atoms mol Iron 0.25 mol 3.97 x 1023 atoms Bromine Calcium 3.50 mol Arsenic 1.2 x 1023 atoms Atoms? As Avogadro determined… 1 mole = 6.02 x 1023 atoms 1.5 x 1023 atoms 0.66 mol 2.1 x 1024 atoms 0.200 mol • 0.25 mol Fe = x atoms Fe • 1 mol Fe = 6.02 x 1023 atoms Fe