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An in-depth exploration of the concept of the mole in chemistry, bridging the gap between the masses of individual atoms and the sum of the masses of many atoms measured in the laboratory. It explains the significance of avogadro's number, the molar mass of elements, and the mass of compounds. The document also includes practice problems for calculating the molar mass of various compounds.
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1 Name: ____________ Date: ______________
Earlier in the year we discussed the relative masses of subatomic particles in atomic mass units (amu), the existence of isotopes, and how the atomic weight of an element is a weighted average of the masses of each atom’s isotopes. To bridge the gap between the masses of individual atoms, to the sum of the masses of many atoms measured in the laboratory complete chemical reactions, chemists developed the concept of the mole, which is just a number that represents a specific number of atoms of an element or molecules of a compound. One dozen atoms = _________________ One pair of atoms = _________________ Neither of the quantities above could be counted, let alone their masses measured on a laboratory scale!! One mole of atoms = ___________________ (in scientific notation), the mass of this quantity of atoms can be measured on a laboratory scale!
Atomic Weight of an Atom in amu Mass of 1 mole of Atoms in grams 1 Hydrogen atom 1 mole of Hydrogen atoms 1 Carbon atom 1 mole of Carbon atoms 1 O atom 1 mole of O atoms 1 Al atom 1 mole of Al atoms 1 Br atom 1 mole of Br atoms Mole: The number of atoms in 12.00 grams of the Carbon-12 isotope (6 p+, 6 n^0 , 6e-) is: 1 mole = 12.00 g = 6.02 x 10^23 atoms. 1.992 x 10-^23 g/atom 1 mole of atoms (or molecules, or ions) = _________________ atoms (or molecules, or ions) So, the mass in grams equivalent to the atomic weight of any element on the periodic table provides a means to measure 1 mole of atoms of the element, or 6.02 x 10^23 atoms. This number, 6.02 x 10^23 , is called Avogadro’s number , and the mass of this number of atoms of an element (or molecules of a compound) is also called the Molar Mass of the element! Number of Moles Molar Mass (g/mol) Measured Mass on lab scale Number of atoms 1 mole of Hydrogen atoms 1 mole of Carbon atoms
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Number of Moles Molar Mass of atoms (g/mol) Measured Mass on lab scale (g) Number of Atoms 1 mole of Hydrogen atoms (H) 2 moles of Hydrogen atoms (H) 1 mole of Oxygen atoms (O)
Number of Moles Molar Mass of molecules (g/mol) Measured Mass on lab scale (g) Number of Molecules 1 mole of Hydrogen molecules (H 2 ) 1 mole of Oxygen molecules (O 2 ) 1 mole of H 2 O molecules Practice: For each of the following formulas, calculate its molar mass of the compound; the mass needed to measure out 1 mole or 6.02 x 10^23 molecules. When reading the molar mass of elements from the periodic table, lets round the values of the molar masses (atomic weights) to the hundredths place. Ex: molar mass of H = 1.01 g/mol. Show your work for determining each Molar mass: a) CS 2 b) CHCl 3 c) Li 2 CO 3 d) C 6 H 8 O 6 e) Ca 3 (PO 4 ) 2 f) Al 2 O 3 g) Ca(OH) 2 h) Pb(SO 4 ) 2 i) B(NO 3 ) 3 j) CF 3 Br