Focus on understanding mole conversions.
Lesson Objectives:
Define a mole and its relation to Avogadro’s number.
Calculate the formula mass and molar mass using compound formulas.
Perform dimensional analysis for converting between moles, particles, mass, and volume.
Key Vocabulary:
Atomic mass unit (amu): A unit of mass used to express atomic and molecular weights.
Average atomic mass: The weighted average of the atomic masses of an element's isotopes.
Mole: A unit defined as the amount of substance that contains the same number of entities as there are in 12 grams of carbon-12.
Avogadro’s number: 6.022 x 10^23, the number of particles in one mole of a substance.
Molar mass: The mass of one mole of a substance in grams per mole (g/mol).
Definition of Molar Mass:
A. Number of grams per one mole of a substance
B. Whole number ratio that is a multiple of a chemical formula
C. Simplest, whole number ratio of a chemical formula
D. 6.022 x 10^23 particles per one mole of a substance
Relative Atomic Mass:
Atomic masses are expressed in relative atomic mass units (amu).
1 amu = 1/12 the mass of a carbon-12 atom.
Carbon-12 has 6 protons and 6 neutrons, each with a mass of about 1.0 amu.
Average Atomic Mass:
A weighted average of an element's isotopes, found on the periodic table.
Mole:
An SI unit measuring the amount of substance; 1 mole contains 6.022 x 10^23 particles (Avogadro's number).
Equivalent to the number of particles in 12g of carbon-12.
Molar Mass:
Mass of one mole of a pure substance; units are g/mol.
Example: Molar mass of Lithium = 6.94 g/mol, equivalent to 6.94 amu.
Sample Problem:
Calculate the molar mass of calcium (Ca) and calcium phosphate (Ca3(PO4)2).
Practice: Molar mass calculations for NH4NO3 and (CH3)2N2H2.
Mole conversions involve switching between moles, particles, grams, and volume using Avogadro's number and molar mass.
Mol/Gram Conversions:
a. Mass of 3.50 mol copper(II) sulfate?
b. Moles in 11.9 g aluminum nitrate?
Mol/Particles Conversions:
c. Moles in 3.01 x 10^23 molecules of silver chloride?
d. Particles in 2.5 mol barium sulfate?
Gram/Particles Conversions:
e. Mass in grams of 1.20 x 10^8 molecules of copper(I) cyanide?
f. Molecules in 4.00 g calcium sulfide?
Volume/Moles/Mass Conversions:
g. Moles of hydrogen gas in 86.5 L at STP?
h. Volume of 158.72 g oxygen gas at STP?
Carry out conversions:
Mass of 2.6 moles of lithium bromide.
Moles of iron(III) oxide equivalent to 452 g.
Molecules in 4.00 moles of glucose (C6H12O6).
Moles in 1.20 x 10^25 molecules of diphosphorous pentoxide.
Mass of 4.00 x 10^23 molecules of calcium fluoride.
Particles in a 1.43 g sample of cadmium nitrate.
Nitrogen gas molecules in 3.36 L at STP.
Volume of 2.00 x 10^23 molecules of fluorine gas.