JentooChemistry

AP® Chemistry · Unit 4 · Topic 4.5

Solution Stoichiometry

Solution stoichiometry uses molarity times volume to get moles of a dissolved substance, then runs the normal mole-ratio and molar-mass steps to find grams or volume of another substance.

Reactions in solution don't hand you a mass you can weigh out directly, because the reacting particles are dissolved and spread through a liquid. What you can measure easily is volume, with a pipette or burette, and concentration, from the label on the bottle. Molarity (mol/L) is the bridge: multiply molarity by volume in liters and you get moles, the currency every stoichiometry problem runs on. From there the problem looks exactly like any other: moles of A, mole ratio from the balanced equation, moles of B, then molar mass or molarity to get whatever the question actually asks for.

So the solution part only replaces one step. Instead of starting from grams and dividing by molar mass, you start from M x V and get moles directly. Everything downstream, the mole ratio from the coefficients, the conversion to grams or to moles of another species, is identical to any other stoichiometry problem. If the final answer needs to be a volume instead of a mass, you just run molarity times volume in reverse: moles divided by molarity gives liters.

This sits right after mole-to-mole and mole-to-mass stoichiometry in the same unit, and it feeds straight into titration problems, where you use a measured volume of one solution to find the unknown concentration or amount of another. The equation itself, balanced with correct coefficients, is still the thing doing the real chemistry. Molarity and volume are just how you count the particles going in and out of it when they're in solution.

Key terms

Molarity (M)
Concentration in moles of solute per liter of solution.
Mole ratio
The ratio of coefficients from the balanced equation, used to convert moles of one substance to moles of another.
Titration
A technique that uses a measured volume of one solution to determine the amount or concentration of another.
Molar mass
The mass in grams of one mole of a substance, used to convert between moles and grams.

Watch it explained

  1. How it worksHow does molarity times volume slot into the mole ratio step of a stoichiometry problem?
  2. Worked exampleFind the mass of AgCl precipitated when 25.0 mL of 0.100 M AgNO3 meets excess NaCl.
  3. Worked exampleFind the volume of 0.150 M NaOH needed to fully react with 30.0 mL of 0.100 M H2SO4.
  4. Common mistakeWhy isn't the total volume of the mixed solutions used in the mole calculation?

Check yourself

Your turn1 of 2
AgNO3 reacts with excess NaCl to precipitate AgCl (molar mass 143.32 g/mol) in a 1:1 mole ratio. Find the mass of AgCl precipitated when 73 mL of 0.342 M AgNO3 reacts completely.

End of topic.