1.

An organic base X has Kb equal to 1 x 10-8 . In what amount should 0.01 M HCI and 0.01 M solution of X be mixed to prepare 1 litre of a buffer solution having pH 7?

Answer»

Kb = 1 × 10−8

0 ∙ 01 M HCl, 0 ∙ 01 M of solution × (Base)

Total volume = 1 litre

pH = 7 ∙ 0,

X+ H2O ⇌ XH+ + OH−

Kb\(\frac{[XH^+][OH^-]}{[X]}\)

= 1 × 10−8

pOH = pKb + log\(\frac{[XH^+]}{[X]}\)

7 = − log 10−8 + log\(\frac{[XH^+]}{[X]}\)

7 = 8 + log\(\frac{[XH^+]}{[X]}\)

log\(\frac{[XH^+]}{[X]}\) = -1

\(\frac{[XH^+]}{[X]}\) =10-1 = 0.1

Suppose volume of HCl taken is x l.

Volume of base = (1 - x) l

After the reaction base left

= (1 - x - x) of 0.01 M

XH+ formed = x L of 0 ∙ 01 M

\(\frac{[XH^+]}{[X]}\)\(\frac{x}{1-2x}\)

= 0.1

x = 0 ∙ 083

Volume of HCl = 0 ∙ 083 L

Volume of Bases = 0 ∙ 917 L



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