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5-4 Coefficients and Subscripts
And you
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A coefficient is the number in front of chemical formula and represents the number of non-bonded, separate species. In 3H2O, the coefficient 3 indicates there are 3 water molecules.
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A subscript is the lowered number within a chemical formula that represents the number of bonded species of item that precedes the number. In H2O there are 2 H atoms bonded to the O atom.
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Building the Concept of Particle Ratios:
1 H2O molecule = 2 H atoms O atom 2 H2O molecules = 4 H atoms O atoms 10 H2O molecules = H atoms O atoms 1000 H2O molec. = 2000 H atoms O atoms Do you see the pattern here??????
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Great JOB!!!!!!!! 106 H2O molec. = 2 x 106 H atoms , 1 x 106 O atoms
6.022 x (6.022 x 1023) 1(6.022 x 1023) H2O molecules = H atoms O atoms 1 mole H2O molec = 2 moles H atoms 1 mole O atoms 5 moles H2O molec = 10 moles H atoms 5 moles O atoms Great JOB!!!!!!!!
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As you can see, the coeffients and subscripts can represent atoms, molecules, or moles. In other words, coefficients and subscripts are merely ratios, representing small things like atoms and molecules, or a large number of these small things, like a mole. Note: coefficients and subscript DO NOT give mass ratios, so we’ll have to convert mass to moles for formulas. Be careful with diatomics, which can be confusing:
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6.022 x 1023 atoms of hydrogen = 1 mole H = 1.01 g 6.022 x 1023 molecules of hydrogen = 1 mole H2 = 2.02 g = 2 moles of H atoms
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Mole Bridge Extension We can now extend the mole bridge to link molecules to atoms: Example: How many H atoms are present in g H2O? Grams → Moles → Molecules → Atoms
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Grams → Moles → Molecules → Atoms
0.200 g H2O x 1 mole H2O x x 1023 molecules H2O x 2 atoms H 18.02 g mole H2O H2O molecule See I told you this would be fun!!!
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5-5 Percent Composition (Section 8.5)
An elemental analysis is the first step in determining a chemical’s formula and gives results called percent composition. Percent composition is typically reported by mass and is determined by dividing the mass of an element in a formula by the total mass of the compound.
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Note how the % values should add to 100%
Example 1: A compound contains 7.00 g of nitrogen out of a total sample mass of 23.0 g. The rest of the mass is oxygen. Calculate the % composition by mass of nitrogen and oxygen. Since the total mass is 23.0 g and 7.00 g of this are nitrogen, 16.0 g are oxygen. % N = 7.00/23.0 x 100 = 30.4 % % O = 16.0/23.0 x 100 = 69.6 % Note how the % values should add to 100%
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Example 2: Determine the % by mass of each element in Ba(OH)2•8H2O
Ba(OH)2•8H2O Molar mass = g/mol Ba: / x = % O: 2(16.00)/ x = % H: 1(1.01)/ x = % H2O 8(18.02)/ x = % Note how the % values should add to 100%.
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