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To experimentally determine the Ksp of an ionic compound
Typology: Lab Reports
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Purpose: To experimentally determine the Ksp of an ionic compound. In CHM 111, we classified ionic compounds as soluble or insoluble. In reality, most insoluble ionic compounds dissolve (and ionize) a little in water and are really slightly soluble or sparingly soluble. The reaction for the dissolution of a binary ionic compound in water is the reverse of the reaction for the precipitation. The equilibrium constant for the dissolution of a sparingly soluble ionic compound is called the solubility product (Ksp). MX(s) ⇌ M+(aq) + X‒(aq) Where Keq = Ksp = [M+(aq)][ X‒(aq)]. The square brackets [ ] imply molar concentration. Remember that the solid MX(s) is not included in the equation for the equilibrium constant. This equation works well for ideal solutions (usually low concentrations.) Ksp depends on temperature with the solubility increasing as the temperature increases (think about sugar in water) for most reactions. There are some ionic compounds whose solubility decreases as the temperature goes up (exothermic reactions.) There are often kinetic limits on how fast these reactions occur, so sufficient needs to be allotted for the reaction to come to equilibrium. We will be looking at the formation of lead(II) iodide to determine the solubility product for PbI 2. PbI 2 ⇌ Pb2+^ (aq) + 2 I‒^ (aq) Ksp = [Pb2+(aq)][ I‒(aq)]^2 As with any equilibrium constant, the Ksp will vary with temperature. We will hold the temperature constant in this experiment. In order to get a precipitate, solutions with variable concentrations of Pb2+^ and I‒^ will be mixed. If the product of the concentrations of the ions is greater than the solubility product, a precipitate will form. The reaction quotient Q = [Pb2+(aq)]i [ I‒(aq)]i^2 , where i refers to the concentration of the ion after mixing, can be calculated. The formation of solid crystals of PbI 2 will occur when the value of “Q” exceeds the solubility product value of lead iodide (i.e., when Q > Ksp). Similarly, precipitation will not occur when the value of Ksp > Q. Thus, in this experimental procedure, if some sample mixtures form PbI 2 crystals and other solutions do not, the value of the solubility product constant lies between Q values with precipitates and Q values without precipitates. Chemicals: Lead(II) nitrate and KI. 0.010 M Pb2+solution is prepared by dissolving 3.312 grams of Pb(NO 3 ) 2 in 1.00 liter of deionized water, while a solution of 0.010 M I‒^ is prepared by dissolving 1.660 grams of KI in 1.00 liter of deionized water.
Materials needed: Test tube rack nine clean, dry test-tubes (15 x 125 mm) 3 10.0 ml pipets 1 pipet bulb Reagent bottles of 0.010 M lead(II) nitrate (aq)and 0.010 M KI(aq) and a bottle of deionized water
V of DI H 2 O V of 0.010M Pb2+(aq) V of 0.010M I‒ (aq) [Pb2+(aq)]i [ I‒(aq)]i Q = [Pb2+(aq)]I([ I‒(aq)]i)^2 1 1.00 ml 4.00 ml 5.00 ml V 1 M 1 =V 2 M 2 (4.00 ml)(.010M)/(10.0 mL) = M 2 M 2 = 0.004M
(5.00 ml)(.010M)/(10.0 mL) = M 2 M 2 = 0.005M
Q = 1.0x10‒^7 After 30 minutes look for signs of a precipitate in the solution. A golden colored cloudiness indicates that the lead(II) iodide has precipitated. Mixtures of higher Q values will contain shiny, golden crystals of lead iodide, while the tubes of lower Q values will have no solid.
Test tube # V of DI H 2 O V of Pb2+(aq) V of I‒(aq) [Pb2+(aq)]i [ I‒(aq)]i Q = [Pb2+(aq)]I([ I‒(aq)]i)^2 PbI 2 ppt? Appearance of solution in test tube.) 1 1.00 ml 4.00 ml 5.00 ml V 1 M 1 =V 2 M 2 [Pb2+(aq)]i = .004M
[ I‒(aq)]i = 0.005M
Q = 1.0x10‒^7 2 2.00 ml 3.00 ml 5.00 ml 3 3.00 ml 2.00 ml 5.00 ml 4 4.00 ml 1.00 ml 5.00 ml 5 5.50 ml 2.50 ml 2.00 ml 6 6.30 ml 1.20 ml 2.50 ml 7 6.75 ml 1.25 ml 2.00 ml