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THE MOLE “n” The mole term is similar to the “dozen” term. Just as a dozen represents “12”; the mole represents 6.022 x 10 23. A very large amount. This is due to atoms & molecules being very small. ÖThe mole is also referred to as Avogadro’s number, N A Ö1 mole = N A = n = 6.022 x 10 23 particles ÖParticles could be atoms, molecules, ions, electrons, even eggs.
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THE MOLE & ATOMIC MASS The atomic mass (weight) is measured in reference to the mole. MOLAR MASS The atomic mass is also known as the MOLAR MASS. The atomic mass = mass of an element DIVIDED by 1 mole of that element. Atomic mass = mass/mole or m/n. Units for atomic mass is grams per mole or g/mol. For example: H = 1.008 amu = 1.008 g/mol = 6.022 x 10 23 atoms = 1 molar mass
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CALCULATIONS INVOLING THE MOLE. Fill in the blank. ¬A mole of oxygen atoms contain _______ atoms and weighs ______ grams. A mole of oxygen contains _____ molecules and ____ atoms and weighs _______ grams. A mole of fluorine atoms contain _________ atoms and weighs _____grams. A mole of fluorine contains __________ molecules and ________ atoms and weighs ______ grams. 6.022 x 10 23 15.999 6.022 x 10 23 2(6.022 x 10 23 ) 31.998 or 2(15.999) 6.022 x 10 23 19.00 6.022 x 10 23 12.044 x 10 23 38.00
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CALCULATIONS INVOLING THE MOLE. Dimensional Analysis Approach. ¬How many moles of Mg are contained in 15.0 grams of Mg? Answer: 15.0 g (1 mole/24.3g) = 0.617 moles. Remember if “g” is on top originally then inside the parenthesis it must go on the bottom. How many atoms of Mg are contained in 15.0 grams of Mg? Answer: 15.0 g (1 mole/24.3g) = 0.617 moles. then 0.617 mol (6.022 x 10 23 atoms/ 1 mole) = 3.72 x 10 23 atoms.
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MOLAR MASS FOR COMPOUNDS The molar mass of any substance is the mass in grams for one mole of that substance. H 2 SO 4 contains 2-H atoms, 1-S atoms & 4-O atoms. Each of those atoms contribute mass to the whole compound. 2H + 1S + 4O = H 2 SO 4 so 2(1.008 g/mol) + 1(32.06 g/mol) + 4(15.99 g/mol) = 98.04 g/mol ¬Calculate the molar mass of the following compounds. 1. K 3 PO 4 2. Ca(OH) 2 3. (NH 4 ) 2 SO 3 4. SrCl 2. 6H 2 O answer on next page.
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MOLAR MASS FOR COMPOUNDS Answer to molar mass question. 1. 3K + P + 4O = 212 g/mol 2. Ca + 2O + 2H = 74 g/mol 3. 2N + 8H + S + 3O = 116 g/mol 4. Sr + 2Cl + 12H + 6O = 267 g/mol Word Problems: ¬How many grams does one molar mass of BaCO 3 weigh? Answer: : 197 g/mol
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CALCULATIONS INVOLING THE MOLE for COMPOUNDS. Dimensional Analysis Approach. ¬How many grams of NH 4 NO 3 are contained in 3.15 moles of NH 4 NO 3 ? Answer: 2N + 4H + 3O = 80 g/mol 3.15 mol (80 g/mol) = 252 g Remember if “mol” is on top originally then inside the parenthesis it must go on the bottom. How many atoms are in 6.34 g of (NH 4 ) 3 PO 4 Answer: 3N + 12H + P + 4O = 149 /mol then 6.34 g (1 mole/149 g) = 0.0426 moles. then 0.0426 mol (6.022 x 10 23 formula units/ 1 mole) (20 atoms/1 formula unit) = 5.12 x 10 23 atoms.
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PRACTICE PROBLEMS 1. What is the molar mass of Fe(NO 2 ) 3.6H 2 O 2. How many moles are contained in 750.0 g of Fe(NO 2 ) 3 ? 3. How many grams of iron are contained in 0.097 mol of Fe 2 (CO 3 ) 3 ? 4. How many atoms are contained in 25.0 g of nitrogen (N 2 )? 5. How many grams of potassium nitrite will contain 6.78 x 10 24 potassium atoms? 301.9 g/mol 3.868 mol 11 g 1.07 x 10 24 N-atoms 957 g
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