Calculate Concentration of Ions in Solution

concentration
The concentration of ions in a solution depends on dissociation of solute. Arne Pastoor / Getty Images

This worked example problem illustrates the steps necessary to calculate the concentration of ions in an aqueous solution in terms of molarity. Molarity is one of the most common units of concentration. Molarity is measured in number of moles of a substance per unit volume. 

Question

a. State the concentration, in moles per liter, of each ion in 1.0 mol Al(NO3)3.
b. State the concentration, in moles per liter, of each ion in 0.20 mol K2CrO4.

Solution

Part a.) Dissolving 1 mol of Al(NO3)3 in water dissociates into 1 mol Al3+ and 3 mol NO3- by the reaction:

Al(NO3)3(s) → Al3+(aq) + 3 NO3-(aq)

Therefore:

concentration of Al3+ = 1.0 M
concentration of NO3- = 3.0 M

Part b.) K2CrO4 dissociates in water by the reaction:

K2CrO4 → 2 K+(aq) + CrO42-

One mol of K2CrO4 produces 2 mol of K+ and 1 mol of CrO42-. Therefore, for a 0.20 M solution:

concentration of CrO42- = 0.20 M
concentration of K+ = 2×(0.20 M) = 0.40 M

Answer

Part a).
Concentration of Al3+ = 1.0 M
Concentration of NO3- = 3.0 M

Part b.)
Concentration of CrO42- = 0.20 M
Concentration of K+ = 0.40 M

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Your Citation
Helmenstine, Anne Marie, Ph.D. "Calculate Concentration of Ions in Solution." ThoughtCo, Apr. 7, 2017, thoughtco.com/calculate-concentration-of-ions-in-solution-609573. Helmenstine, Anne Marie, Ph.D. (2017, April 7). Calculate Concentration of Ions in Solution. Retrieved from https://www.thoughtco.com/calculate-concentration-of-ions-in-solution-609573 Helmenstine, Anne Marie, Ph.D. "Calculate Concentration of Ions in Solution." ThoughtCo. https://www.thoughtco.com/calculate-concentration-of-ions-in-solution-609573 (accessed December 16, 2017).