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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ie165

HA has $K_{a} = 1.0 \times 1 0^{- 5}$ . Which mixtures give pH = 5.30? Use $lo g 2 = 0.301$ and take pH = $p K_{a} + lo g (salt / acid)$ .

A0.10 mol HA + 0.20 mol NaA in 1 L
B0.30 mol HA + 0.10 mol NaOH in 1 L
C0.30 mol HA + 0.20 mol NaOH in 2 L
D0.20 mol HA + 0.20 mol NaA in 1 L

Answer: A, C

Need salt/acid = 2. (a) 0.20/0.10 = 2: yes. (b) acid 0.20, salt 0.10 giving 0.5: pH 4.70, no. (c) acid 0.10, salt 0.20: ratio 2: yes. (d) ratio 1, pH 5.00: no.

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