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Question: The rate constant at 25°C for the reaction of NH<sub>4</sub><sup>+</sup>& OH<sup>–</sup> to form NH<...

The rate constant at 25°C for the reaction of NH4+& OH to form NH4OH is 4 × 1010 M–1 sec–1&ionisation constant of aq. NH3 is 1.8 × 10–5. The rate constant of proton transfer to NH3 is –

A

1.8 × 10–5

B

7.2 × 10+5

C

3.6 × 105

D

4.2 × 10–5

Answer

7.2 × 10+5

Explanation

Solution

NH4+ + OH k1\overset{\quad k_{1}\quad}{\rightarrow}NH4OH k1 = 4 × 1010

NH4OH KfKb\frac { \mathrm { K } _ { \mathrm { f } } } { \stackrel { \mathrm { K } _ { \mathrm { b } } } { } } NH4+ + OH

keq = kfkb\frac{k_{f}}{k_{b}}

1.8 × 10–5 = kf4×1010\frac{k_{f}}{4 \times 10^{10}} ̃ kf = 7.2 × 105