Which of the following compounds should have the strongest conjugate acid? (See choices in answer).

1 Answer
Aug 4, 2015

The answer is indeed B. aniline.

Explanation:

The options are:

A. Ammonia K_b = 1.8 xx 10^-5Kb=1.8×105
B. Aniline K_b = 3.9 xx 10^-10Kb=3.9×1010
C. Hydroxylamine K_b = 1.1 xx 10^-8Kb=1.1×108
D. Ketamine K_b = 3.0 xx 10^-7Kb=3.0×107
E. Piperidine K_b = 1.3 xx 10^-3Kb=1.3×103

The strongest conjugate acid will correspond to the weakest base, which in your case is the base that has the smallest base dissociation constant, K_bKb.

For a generic weak base equilibrium, you have

B_((aq)) + H_2O_((l)) rightleftharpoons BH_((aq))^(+) + OH_((aq))^(-)B(aq)+H2O(l)BH+(aq)+OH(aq)

The base dissociation constant is defined as

K_b = ([BH^(+)] * [OH^(-)])/([B])Kb=[BH+][OH][B]

The value of K_bKb will tell you how willing a base is to accept a proton to form its conjugate acid, BH^(+)BH+, and hydroxide ions, OH^(-)OH.

If more molecules of base ionize to form BH^(+)BH+ and OH^(-)OH, then the numerator of K_bKb will Increase. At the same time, the concentration of the base, which appears in the denominator, will decrease.

As a result, the value of K_bKb will increase.

The stronger the base, the larger the concentrations of conjugate acid and hydroxide ions it produces in solution. An important consequence is that the equilibrium of stronger bases lies more to the right.

This implies that the reverse reaction

BH_((aq))^(+) + OH_((aq))^(-) rightleftharpoons B_((aq))^(+) + H_2O_((l))BH+(aq)+OH(aq)B+(aq)+H2O(l)

is less likely to occur, meaning that the tendency of the base, BB, to ionize will prevent too many BH^(+)BH+ molecules to give up their proton to reform BB -> BH^(+)BH+ will be a weak conjugate acid.

On the other hand, if the base is weak, the equilibrium will lie more to the left. This means that the conjugate acid will be more willing to donate its proton to reform the base -> BH^(+)BH+ will be a strong conjugate acid.

So, the smaller the value of K_bKb, the smaller the degree of ionization of the base, meaning that base molecules tend to remain unionized in aqueous solution - not pick up a proton to form BH^(+)BH+.

In your case, aniline will be weakest base, which implies that it will have the strongest conjugate acid.