World of Chemistry

Chemistry 0010

Calculations Based on Formulae

    Topics you should learn:

  1. to calculate formula mass (or molecular mass) of compounds,

  2. to calculate molar mass and use it to interconvert among:
    • mass,
    • quantity of particles and
    • moles,

  3. to use molar volume of gas at STP to interconvert among:
    • mass,
    • moles,
    • molar mass and
    • density of a gas at STP,

  4. to determine the percent composition of a compound,

  5. to determine the empirical formula from the composition of a compound

  6. to determine the molecular formula from the molecular weight and the composition of a compound

Calculation of Formula or Molecular Mass

Formula mass of a compound is the sum of the atomic masses of the all the atoms which make up the compound. However, when the compound does not have ionic bonding , the sum of the atomic mass can be called the molecular mass.


Are you familiar with determining the formula mass of a compound?


Read:
  • 8.1 - Calculation of Formula or Molecular Mass (page 188)

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Molar Mass Related Calculations

By definition, 1 mole of 12C is exactly 12 grams. One mole of 12C has 6.022 x 1023 (Avogadro's number's) atoms of carbon (rounded to 4 significant figures).


Are you familiar with using the "mole" as the counting unit?


Information in the Chemical Formula

Number Ratio of the Atoms

A chemical formula gives the number ratio of the different kinds of atoms present in the compound. This means that the ratios are the same if you count in individual atoms, dozens of atoms, or moles of atoms.

Take a look at the ratio of the number of atoms in sodium carbonate, Na2CO3.

Number Ratio of the Ions

A chemical formula gives the number ratio of the ions present in the ionic compound. This means that the ratios are the same if you count in individual ions, dozens of ions, or moles of ions.

Take a look at the ratio of the ions in sodium carbonate, Na2CO3.


Molar Mass

Units of molar mass:

Units of molar mass is grams/mole

1 mole of carbon consists of 6.022x 1023 C atoms and weighs 12.011 g.
1 mole of oxygen consists of 6.022x 1023 O atoms and weighs 15.9994 g.

Are you familiar with determining the molar mass of a compound? Take a look at the determination of the molar mass of sodium carbonate, Na2CO3.


Interconversion between Moles, grams, and quantity of particles.

Whenever you want to convert quantities from one unit to another, you need to use the appropriate conversion factor. The conversion factor must have units of the two quantities involved.


Read:
  • 8.2 - Calculation of Moles of Units. Avogadro's Number (page 189)

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Molar Volume of a Gas and Related Calculations

The volume of a gas is sensitive to both pressure and temperature. If the volumes of any two gas samples are to be compared, they must be at the same set of conditions (ie - same temperature and pressure).

The conditions that are used for reference are called standard temperature and pressure (STP).

Do you know what they are?

Densities of gases are usually reported in units of grams per liter at STP.

Click below to see the densities of a few common gases

For any gas at STP, when the molar mass of the gas is divided by the density of the gas, the value "22.4" is obtained.

Take a look at the "special" number, "22.4".

The Molar volume of any gas at STP is 22.4 L.

You can also think of the molar volume of a gas at STP as a conversion unit between

molar volume
moles of the gas at STP <==> volume of the gas at STP


Read:
  • 8.3 - Molar Volume of a Gas and Related Calculations (page 195)

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Calculation of Percent Composition of Compounds

The proportion by mass of each element in a compound is called percent composition.

Do you know how to determine the percent composition for a compound?
Take a look at a sample calculation.

To minimize errors due to rounding off numbers, keep as many significant figures in the calculations as possible.


Read:
  • 8.4 - Calculation of Percent Composition of Compounds (page 198)

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Determination of Empirical Formula

Percent composition establishes the relative proportions of the elements in a compound in terms of mass. A chemical formula requires that these proportions be expressed in terms of the number of atoms.

Example:

An analysis of a substance shows that it is made up of carbon, hydrogen, and oxygen. The percentages of the elements are determined to be:

Determine the empirical formula of this substance.

Answer: The empirical formula is C3H8O3.

Read:
  • 8.5 - Calculation of Empirical and Molecular Formulas (page 200)

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Determination of Molecular Formula

We have already seen that the empirical formula of a compound can be determined from mass data.

If the molar mass of a compound and its empirical formula are known, the molecular formula can be determined.

The molecular formula is determined by multiplying each subscript in the empirical formula by the number of empirical formula units.

Example

The molar mass of a compound containing only carbon and hydrogen has a molar mass of 114.0 g/mole. Further analysis determined the empirical formula of the compound to be C4H9. What is the molecular formula for this compound?

Answer: The molecular formula is C8H18


Read:
  • 8.5 - Calculation of Empirical and Molecular Formulas (page 200)

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Rosamaría Fong, Instructor of Chemistry,
British Columbia Institute of Technology, Burnaby, B.C. Canada.

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All contents copyrighted © 1996
Rosamaría Fong, Instructor of Chemistry
All Rights reserved

: Last updated on July 19, 1996