Chapter 4: Problem 82
A \(1.345-\mathrm{g}\) sample of a compound of barium and oxygen was dissolved in hydrochloric acid to give a solution of barium ion, which was then precipitated with an excess of potassium chromate to give \(2.012 \mathrm{~g}\) of barium chromate, \(\mathrm{BaCrO}_{4}\). What is the formula of the compound?
Short Answer
Step by step solution
Determine the mass of barium in BaCrO4
Use the ratio to find mass of barium in the sample
Determine the mass of oxygen in the compound
Determine the mole ratio of barium to oxygen
Find simplest whole number ratio
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Mole Ratio
For instance, if you have a compound consisting of barium and oxygen, you can find out how many moles of oxygen are present for every mole of barium. This involves converting the mass of each element to moles using their molar masses (which are found on the periodic table).
In the case of our original exercise, we calculated the moles of barium and oxygen separately.
Then, we divided the quantity of each by the smallest number of moles to find a simple whole number ratio.
- For barium, this was approximately 0.00794 moles.
- For oxygen, it was about 0.01594 moles.
Chemical Formulas
There are different types of chemical formulas, such as empirical formulas, which show the lowest whole number ratio of elements in a compound.
Understanding how to determine a chemical formula involves both chemical intuition and calculated steps.
- First, you need to know the masses of each element in the compound.
- Convert these masses to moles using atomic weights.
- Then, calculate the simplest mole ratio of the constituent elements.
Example
In our exercise, we had a compound of barium and oxygen. We figured out that for every barium atom, there are two oxygen atoms, leading to the formula BaO2.This empirical formula indicates that the compound is made up of barium and oxygen in a specific proportion that matches its simplest ratio as discovered through our calculations.
Barium Compounds
Barium compounds have noteworthy chemical and physical properties. These include high density and the ability to form additives for other chemical reactions.
- Barium Oxide (BaO) and Barium Peroxide (BaO2) are two common barium compounds, each having different amounts of oxygen.
- Barium Chromate (BaCrO4) is another important barium compound, prominent for its yellow color and applications in pigments.