Concept A Mole Conversions

Topic 6: Stoichiometry Concept A - Mole Conversions

Page 1: Introduction to Mole Conversions

  • Focus on understanding mole conversions.


Page 2: Lesson Objectives and Key Vocabulary

  • 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).


Page 3: Molar Mass Definition

  • 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


Page 4: Relative vs Average Atomic Mass

  • 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.


Page 5: The Mole and Molar Mass

  • 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.


Page 6: Mole Conversions

  • Mole conversions involve switching between moles, particles, grams, and volume using Avogadro's number and molar mass.


Page 7: Conversions - Sample Problems

  • 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?


Page 8: Conversions Practice Problems

  • Carry out conversions:

    1. Mass of 2.6 moles of lithium bromide.

    2. Moles of iron(III) oxide equivalent to 452 g.

    3. Molecules in 4.00 moles of glucose (C6H12O6).

    4. Moles in 1.20 x 10^25 molecules of diphosphorous pentoxide.

    5. Mass of 4.00 x 10^23 molecules of calcium fluoride.

    6. Particles in a 1.43 g sample of cadmium nitrate.

    7. Nitrogen gas molecules in 3.36 L at STP.

    8. Volume of 2.00 x 10^23 molecules of fluorine gas.

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