1.

The pH of 0.004 M hydrazine solution is 9.7. Calculate its ionization constant Kb and pKb.

Answer»

Given, pH = 9.7

\(\therefore\) pH = -log10[H+]

or [H+] = antilog (-pH)

= antilog (-9.7)

= 1.67 x 10-10

\(\therefore\) [H+][OH-] = Kw

or [OH-] = \(\frac{K_w}{(H^+)}\)

= \(\frac{1\times10^{-14}}{1.67\times10^{-10}}\)

= 5.98 x 10-5

The concentration of the corresponding hydrazinium ion is also the same as that of OH− ion. The concentration of both these ions is very small so the concentration of the undissociated base can be taken equal to 0.004 M.

\(\therefore\) For the reaction,

NH2NH2 + H2O ⇌ NH2NH4⊕+ OH⊕

Kb = \(\frac{[NH_4^+][OH^-]}{[NH_3]}\)

= \(\frac{Ca.Ca}{C(1-a)}\)

= 8.96 × 10−7

pKb = -logKb

= -log(8.96 x 10-7)

= log 8.96 + 7 log 10

= - 0.9523 + 7

= 6.047



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