4.1
Consider a balanced chemical reaction, such as the combustion of hydrogen gas. Here, the quantitative relationship between the reactants and products — H2, O2, and H2O — is that two molecules of H2 react with one molecule of O2 to produce two molecules of H2O.
This quantitative relationship is known as stoichiometry, and it is similar to any recipe.
Suppose two slices of salami, one slice of cheese, and two pieces of Italian bread are used to make one sandwich. In order to make three sandwiches, the quantities of the ingredients are tripled.
How many sandwiches could be made with 10 slices of salami? Since the ratio of salami to sandwiches is two to one, five sandwiches could be made.
This same process is applied to chemical reactions. For example, consider the synthesis of ammonia. The stoichiometric coefficients directly indicate the relative number of molecules, which is equivalent to the relative quantities in moles.
One mole of nitrogen gas and three moles of hydrogen gas react to form two moles of ammonia. To make four moles of ammonia, the reactant quantities are doubled.
The mole ratio of nitrogen gas to ammonia is one to two, while that of hydrogen gas to ammonia is three to two. If there are 15 moles of hydrogen, how many moles of ammonia can be synthesized? Using the mole ratio as a conversion factor, 10 moles of ammonia can be synthesized.
To estimate the mass of a reactant from the mass of the product or vice versa, a pathway is followed. Unlike mole conversions, calculations involving mass are not direct. First, the known mass is converted to moles. Then, the mole ratio is applied. Lastly, the amount in moles is converted to mass using the molar mass of the relevant compound.
For example, consider the combustion of a hydrocarbon rocket propellant – that is, its reaction with oxygen. Approximately how many grams of liquid oxygen are required for each 5,000 grams of fuel?
First, the approximate molar mass of the fuel is used to convert 5,000 grams to moles. Then, the mole ratio of 35 to 2 is applied to calculate the needed amount in moles of molecular oxygen. Finally, the molar mass of molecular oxygen is used to determine that the spacecraft needs to store about 17,000 grams of oxygen onboard for each 5,000 grams of fuel.
A balanced chemical equation provides a great deal of information in a very succinct format. Chemical formulas provide the identities of the reactants…
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