Find the Qsp when 5 mL of 0.17 M K2 CO3 (aq) and 1 L of 0.013 M AgNO3(aq) are mixed together. The solubility product of Ag2CO3 is 6.2 × 10−12
So Qsp = (Ag^+)^2*(CO3^2-)
(Ag^+) = 0.013M x (1000/1005) = ?
(CO3^2-) = 0.17M x (5/1005) = ?
To find the solubility product, Qsp, when 5 mL of 0.17 M K2CO3 (aq) and 1 L of 0.013 M AgNO3 (aq) are mixed together, you need to follow these steps:
Step 1: Write the balanced chemical equation.
First, write the balanced chemical equation for the reaction between K2CO3 and AgNO3. The reaction can be expressed as:
2 AgNO3 + K2CO3 -> Ag2CO3 + 2 KNO3
Step 2: Determine the concentrations of the ions.
In the reaction, K2CO3 dissociates into two K+ ions and one CO3-2 ion, while AgNO3 dissociates into one Ag+ ion and one NO3- ion.
For K2CO3:
- The concentration of K+ ions is 2 times the initial concentration of K2CO3 since each molecule of K2CO3 produces 2 K+ ions.
- The concentration of CO3-2 ions is the same as the initial concentration of K2CO3 since each molecule of K2CO3 produces 1 CO3-2 ion.
- Therefore, the concentration of K+ ions is 2 * 0.17 M = 0.34 M, and the concentration of CO3-2 ions is 0.17 M.
For AgNO3:
- The concentration of Ag+ ions is the same as the initial concentration of AgNO3 since each molecule of AgNO3 produces 1 Ag+ ion.
- The concentration of NO3- ions is the same as the initial concentration of AgNO3 since each molecule of AgNO3 produces 1 NO3- ion.
- Therefore, the concentration of Ag+ ions is 0.013 M, and the concentration of NO3- ions is 0.013 M.
Step 3: Calculate Qsp.
Qsp is the reaction quotient, which is calculated by multiplying the concentrations of the products raised to their stoichiometric coefficients.
In this case, Qsp = [Ag2CO3], where [Ag2CO3] is the concentration of Ag2CO3.
Since Ag2CO3 dissociates into 2 Ag+ ions and 1 CO3-2 ion, the concentration of Ag2CO3 is the same as the concentration of Ag+ ions.
Thus, Qsp = [Ag+]^2 = (0.013 M)^2 = 1.69 x 10^-4.
Therefore, the Qsp when 5 mL of 0.17 M K2CO3 (aq) and 1 L of 0.013 M AgNO3 (aq) are mixed together is 1.69 x 10^-4.