Determining Empirical Formulas from Percentage Composition, Lecture notes of Chemistry

How to calculate the percentage composition of elements in a compound and use it to determine the empirical formula. It includes an example from the journal of chemical education on finding the empirical formula of magnesium oxide (mgo) from experimental data.

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2021/2022

Uploaded on 02/03/2022

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Percentage Composition
% composition gives the percentage of each element in a compound by mass.
For instance Consider the formula copper (II) oxide CuO. The molar mass of the compound is
63.55 g/mol + 16.00 g/mol = 79.55 g/mol
If I have one mole of the compound, that would be equivalent to a mass of 79.55 g
(I chose one mole for convenience)
The percentage of copper in the sample would be 63.55 g / 79.55 g x 100 = 79.9%
The percentage of oxygen in the sample would be 100 - 79.9 = 20.1 %
It is possible to work backwards to find the empirical formula of a compound from % by mass
information.
The following example was taken from the Journal of Chemical Education;
Determination of an empirical formula using experimental data
Magnesium burns in air to form a compound containing magnesium and oxygen atoms. The
following data was collected in an experiment to determine the formula of the compound that is
formed when magnesium is burned in air.
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Percentage Composition % composition gives the percentage of each element in a compound by mass. For instance Consider the formula copper (II) oxide CuO. The molar mass of the compound is 63.55 g/mol + 16.00 g/mol = 79.55 g/mol If I have one mole of the compound, that would be equivalent to a mass of 79.55 g (I chose one mole for convenience) The percentage of copper in the sample would be 63.55 g / 79.55 g x 100 = 79.9% The percentage of oxygen in the sample would be 100 - 79.9 = 20.1 % It is possible to work backwards to find the empirical formula of a compound from % by mass information. The following example was taken from the Journal of Chemical Education; Determination of an empirical formula using experimental data Magnesium burns in air to form a compound containing magnesium and oxygen atoms. The following data was collected in an experiment to determine the formula of the compound that is formed when magnesium is burned in air.

Mass Mass of crucible and lid 14.277 g Mass of crucilble + lid + Mg 14.320 g Mass of crucible + lid + white solid product 14.349 g Data Analysis Mass of magnesium in the sample: 14.320 – 14.277 = 0.043 g (moles = 0.00177 moles) Mass of oxygen in the sample: 14.349 – 14.320 = 0.029 g (moles = 0.00181 moles) Ratio: Mg : O = 1: 1.02 which is approximately 1: Therefore the empirical formula of the products formed is MgO. Practice Questions

  1. A sample of urea contains 1.210 g of N, 0.161 g of H and 0.480 g of C, and 0.640 g of O. What is the empirical formula of urea? (answer N 2 H 4 CO)
  2. The mineral celestine is found to have a composition of 47.7 % of strontium, 17.46 % sulfur, and the rest of the compound is oxygen. What is the empirical formula of Celestine? (answer SrSO 4 )