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Question: Which is/are correct statements : (1) When 100 ml of 0.1 M NaCN solution is titrated with 0.1 M HCl...

Which is/are correct statements :

(1) When 100 ml of 0.1 M NaCN solution is titrated with 0.1 M HCl solution the variation of pH of solution with volume of HCl added will be (as shown in figure):

(2) Variation of degree of dissociation a with concentration for a weak electrolyte at a particular temperature is best represented by (as shown in figure):

(3) 0.1 M acetic acid solution is titrated against 0.1 M NaOH solution. The difference in pH between 1/4 and 3/4 stages of neutralization of acid will be 2 log 3.

A

a& c

B

b & c

C

a, b & c

D

b only

Answer

a, b & c

Explanation

Solution

(1) Initially pH will decrease fast, then slowly due to buffer formation and then will decrease fast as buffer action diminishes.

(2) For a weak electrolyte

Ka = Cα2(1α)\frac{C\alpha^{2}}{(1 - \alpha)}

when a << 1 then a = KaC\sqrt{\frac{K_{a}}{C}}as C increases

\Rightarrow a decreases

as C is tending to zero \Rightarrow a will be unity

(3) At 1/4th neutralization

CH3COOH + NaOH \longrightarrow CH3COONa + H2O

(0.1×34)\left( 0.1 \times \frac { 3 } { 4 } \right) (0.1×14)\left( 0.1 \times \frac { 1 } { 4 } \right)

pH = pKa + log [CH3COO][CH3COOH]\frac{\lbrack CH_{3}COO^{-}\rbrack}{\lbrack CH_{3}COOH\rbrack}= pKa + log (13)\left( \frac{1}{3} \right)

At 3/4th neutralization

pH = pKa + log 3

so difference in pH = D(pH) = log 3 – log = 2 log 3