Map Sapling Learning When determining the equilibrium concentrations for the rea

Question

Map Sapling Learning When determining the equilibrium concentrations for the reaction A B AB a simplifying assumption can be used under certain conditions to avoid solving a quadratic equation. AB-x AB Classify each situation by whether the simplifying assumption can be used or whether the quadratic formula is required. Use simplifying assumption Quadratic formula required [AB] = 0.152 M K 0.000244 [AB] 0.0488 M Kc = 0.0000138 [AB] 0.0378 M Kc 0.000124 [AB] = 0.00155 M Ko7.10 x107 AB] 0.285 M Kc 0.00217

Explanation / Answer

Ans. Step 1: Calculate [AB] / Kc ratio:

            I. [AB] / Kc = 0.0488 / 0.0000138 = 3536.23

            II. [AB] / Kc = 0.00155 / (7.1 x 10-7) = 2183.10

            III. [AB] / Kc = 0.152 / 0.000244 = 622.95

            IV. [AB] / Kc = 0.0378 / 0.000124 = 304.84

V. [AB] / Kc = 0.285 / 0.00217 = 131.33

# Step 2: Simplified assumption: Simplified assumption is accepted when ([AB] / Kc) ratio is 1000 or greater.

So, the conditions for simplified assumptions are-

                        I. [AB] = 0.0488 M                ; Kc = 0.0000138

                        II. [AB] = 0.00155 M             ; Kc = 7.1 x 10-7

# Step 3: Quadratic equation: Quadratic equation is a must when the ([AB] / Kc) ratio is less than 1000.

So, the conditions for quadratic equation are-

                        III. [AB] = 0.152 M                ; Kc = 0.000244

                        IV. [AB] = 0.0378 M              ; Kc = 0.000124

V. [AB] = 0.285                     ; Kc = 0.00217

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