# Solubility Product Constant, K sp

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1 Exercise 5 Page 1 Illinois Central College CHEMISTRY 132 Laboratory Section: Name: Solubility Product Constant, K sp Equipment ml burette ml beakers 0300 M NaC M AgNO 3 ferric alum indicator 0100 M KCNS Objectives The objective of this experiment is to illustrate the use the Solubility Product Constant and determinr the K sp value for silver acetate Background In general, when ionic compounds dissolve in water, they go into solution as ions When the solution becomes saturated with ions, that is, unable to hold any more, the excess solid settles to the bottom of the container and an equilibrium is established between the undissolved solid and the dissolved ions For example, when enough calcium oxalate is introduced into solution for it to become saturated, the following equilibrium is established CaC 2 O 4(s) Ca +2 (aq) + C 2 O 4-2 (aq) If we write an equilibrium expression for this situation, we obtain: K sp = [Ca +2 ][C 2 O 4-2 ] Note that the solid itself does not appear as a denominator in the expression since it is a it is not in the same phase as the aqueous ions In general, the solubility product constant (K sp ), is the equilibrium constant for the solubility equilibrium of a slightly soluble ionic compound Like all equilibrium constants, the K sp is temperature dependent, but at a given temperature it remains relatively constant It also noteworthy, that, just like any equilibrium expression, each ion concentration in the expression is raised to the power of its coefficient in the solubility equation For example, the K sp expression for CaCO 3(s) Ca +2 (aq) + CO 3-2(aq) is K sp = [Ca +2 ][CO 3-2 ] but for the equation PbI 2(s) Pb +2 (aq) + 2 I -1 (aq) K sp = [Pb +2 ][I -1 ] 2 note that the concentration of the iodide ion is squared

2 Exercise 5 Page 2 Safety Precautions Safety goggles must be worn in the lab at all times Any skin contacted by chemicals should be washed immediately Procedure Preparation of a Saturated Silver Acetate Solution Remember that this is a quantitative experiment All measurements are to be made carefully, clean apparatus is to be used, material is to be handled to avoid loss, and standard solutions are to be added to clean dry burettes The solubility of silver acetate is described by the equilibrium; AgC 2 (s) Ag +1 + C H O -1 (aq) (aq) The equilibrium expressium defining this reaction is K sp = [Ag +1 ][C 2-1 ] In order to determine this K sp, we must measure the silver ion and acetate ion concentrations in a saturated solution Note, that their concentrations do not necessarrily have to be equalit is only the product of their concentrations that cannot exceed the K sp First we must create a saturated solution of silver acetate Prepare one of the following (1-3) saturated solutions: Solution 1: Add 200 ml of 0200 M AgNO 3 to 300 ml of 0300 M NaC Solution 2: Add 250 ml of 0200 M AgNO 3 to 250 ml of 0300 M NaC 2 Solution 3: Add 300 ml of 0200 M AgNO 3 to 200 ml of 0300 M NaC 2 The solutions of silver nitrate and sodium acetate separately have higher concentrations of Ag +1 and C 2-1 ions than can exist together in a single solution Consequently, silver acetate pecipitates until the quantities defined by the solubility product constant are reached If we determine the amount of silver still left in solution, we can use a little stoichiometry to determine how much acetate is left Stir and shake the solution to induce precipitation Continue to stir intermittently for 30 minutes to bring about equilibrium between solid and dissolved silver acetate Filter the solution through dry filter paper and funnel into a dry container The filtrate should be a saturated solution with respect to Ag +1 and C 2-1 ions In order to calculate K sp, the concentration of Ag +1 ions is to be determined by titration with standard 0100 M potassium thiocyanate solution, KCNS This titration forms insoluble silver thiocyanate (white) Ag +1 (aq) + CNS-1 (aq) AgCNS (s)

4 Exercise 5 Page 4 12Given the initial moles of acetate used to prepare our saturated solution (5) and the number of moles of acetate precipitated (12), calculate the number of moles of acetate remaining in solution and record this value on your Report Sheet (13) 13Using the moles of acetate remaining in solution and the total volume of the solution, calculate the Molarity of acetate ion and record this value on your Report Sheet (14) 14Now that we have the Molarity of the Ag +1 ion remaining in solution (10) and the Molarity of the C 2-1 ion remaining in solution (14), we can calculate the K sp for AgC 2 Record this value on your Report Sheet (15) 15Given that the solubility of Silver Acetate is 102 g/l, calculate the accepted value for the K sp of AgC 2 and record this value on your Report Sheet (16) 16Calculate your % error for each of the two trials using the accepted value determined in the previous step and record this value on your Report Sheet (17)

5 Exercise 5 Page 5 Illinois Central College CHEMISTRY 132 Laboratory Section: Name: REPORT SHEET Solubility Product Constant, K sp Solution #1 Solution #2 1 ml AgNO 3 (0200 M) 2 ml NaC 2 (0300 M) 3 Volume of mixture (ml) 4 Moles of Ag +1 initially present 5 Moles of C 2 O -1 2 initially present 6 ml AgC 2 used in the titration 7 ml 0100 M KCNS required for titration 8 Moles Ag +1 in aliquot 9 Moles Ag +1 in original 500 ml sample 10 Moles per liter of Ag Moles Ag +1 precipitated 12 Moles C 2 O -1 2 precipitated 13 Moles C 2 O -1 2 remaining in solution Moles per liter of C 2 15 K sp for AgC 2 16 Accepted K sp 17 Percent error Show all calculations:

6 Exercise 5 Page 6 Questions 1 The K sp for calcium oxalate, CaC 2 O 4, at 25 o C is 18 x 10-9 Calculate its solubility in g/l 2 The solubility of PbCl 2 at 25 o C is 0990 g/100 ml Calculate its K sp 3 If 500 ml 0f 0010 M Pb(NO 3 ) 2 are addaed to 500 ml of a 0010 M HCl solution, will a precipitate of PbCl 2 form? Explain

7 Exercise 5 Page 7 Illinois Central College CHEMISTRY 132 Laboratory Section Name: PRELAB: Exp 5 Solubility Product Constant, K sp 1 Write the K sp expression for the following compounds a) Mn 3 (PO 4 ) 2 b) Ag 2 CrO 4 2 Given that the solubility of SrF 2 is 45 x 10-5 g/l, calculate its K sp 3 If 200 ml of 01 M NaOH is added to 10 L of 0100 M CaCl 2, will precipitation occur? Explain (K sp for Ca(OH) 2 = 54 x 10-6 ) 4 The K sp for manganese(ii)carbonate, MnCO 3, is 18 x Calculate its solubility in g/l 5 What is the ph of a saturated Zn(OH) 2 solution given that the K sp for zinc hydroxide is 18 x 10-14

8 Exercise 5 Page 8

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