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Heavy metal azides, which are salts of hydrazoic acid, HN3, are used as explosive detonators. A...

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Chemistry

Heavy metal azides, which are salts of hydrazoic acid, HN3, areused as explosive detonators. A solution of 0.20M hydrazoic acidhas a pH of 3.21. What is the Ka for hydrazoic acid?

Answer & Explanation Solved by verified expert
4.1 Ratings (789 Votes)

Let α be the dissociation of the weak hydrazoic acid
                            HA <---> H + + A-

initial conc.            c               0         0

change                -cα            +cα      +cα

Equb. conc.         c(1-α)          cα    cα

Dissociation constant , Ka = cα x cα / ( c(1-α)

                                         = c α2 / (1-α)

In the case of weak acids α is very small so 1-α is taken as 1

So Ka = cα2

==> α = √ ( Ka / c )

Given pH = 3.21

-log[H+] = 3.21

[H+] = 10-3.21

cα = 6.16x10-4 M

          c = concentration = 0.20 M

Plug the values we get α = 3.08 x10-3

Ka = cα2

= 0.20 x (3.08 x10-3)2

= 1.90x10-6
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