Assuming complete dissociation, which of the following aqueous so… - Vidyadip

MCQ

Assuming complete dissociation, which of the following aqueous solutions will have the same $pH$ value

A
$100 \,ml $ of $0.01\,\,M\,\,HCl$
B
$100 \,ml $ of $0.01\,\,M\,\,{H_2}S{O_4}$
C
Mixture of $50 \,ml$ of $0.02\,M\,H_2SO_4$ and $50\,ml$ of $0.02\,M\,NaOH$
✓
$(a)$ and $(c)$ both

✓

Answer

Correct option: D.

$(a)$ and $(c)$ both

(d) M.eq. of $0.01 $ $M\,\,HCl = \frac{{.01 \times 100}}{{1000}} = 1 \times {10^{ - 3}}$

$pH = 3$

M.eq. of $0 .02$ $M\,\,{H_2}S{O_4} = \frac{{.04 \times 50}}{{1000}} = 2 \times {10^{ - 3}}$

M.eq. of $0.02$ $M\,\,NaOH = \frac{{0.02 \times 50}}{{1000}} = 1 \times {10^{ - 3}}$

Left $[{H^ + }] = 2 \times {10^{ - 3}} - 1 \times {10^{ - 3}} = 1 \times {10^{ - 3}}$;$pH = 3$

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