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uc Davis CHE 2B win x For many weak acid or w x C For Many weak Acid or x G When

ID: 484223 • Letter: U

Question

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Explanation / Answer

The given equation is

AB (g) <=====> A (g) + B (g)

Kc = [A][B]/[AB]

The simplified equilibrium constant may be written as

Kc = x2/([AB] – x) x2/[AB]

1) [AB] = 0.00243 M, Kc = 1.89*10-6

We can ignore x in the denominator when Kc is extremely low. The logic remains that since Kc is small, the reaction essentially favours the reactant side (reverse reaction). Hence x can be ignored in the expression.

2) [AB] = 0.339 M, Kc = 0.00230

Kc is small, but definitely not as small as in (1) above. The initial reactant concentration is appreciably high (much higher than in 1 above) and the extent of the reaction (x) is quite small. We can therefore, ignore x in the denominator.

3) [AB] = 0.0362 M, Kc = 3.84*106

Kc is large, positive. The reaction essentially favours the product side (forward reaction). Hence, we cannot assume that whatever concentration of the reactant we started with, we will be left with the same reactant concentration at equilibrium. Therefore, we cannot ignore x here and we need to solve the quadratic equation.

4) [AB] = 0.0358 M, Kc = 0.000111

Kc is small, but not as small as in (1) above. However, the initial reactant concentration is also small. If we ignore x here, will assume that the reactant concentration (small itself) remains unchanged which is not true. Hence, we shouldn’t ignore x here.

5) [AB] = 0.389 M, Kc = 0.000693

Kc is small, but the initial reactant concentration is appreciably high. Hence, we can ignore x here.