Equilibrium Ques 33

33. Following solutions were prepared by mixing different volumes of $NaOH$ and $HCl$ of different concentrations :

[2018]

a. $\quad 60 $ $mL$ $ \frac{M}{10}$ $ HCl+40 $ $mL$ $ \frac{M}{10}$ $ NaOH$

b. $\quad 55 $ $mL$ $ \frac{M}{10}$ $ HCl+45 $ $mL$ $ \frac{M}{10}$ $ NaOH$

c. $\quad 75 $ $mL$ $ \frac{M}{5} $ $HCl+25 $ $mL$ $ \frac{M}{5} $ $NaOH$

d. $\quad 100 $ $mL$ $ \frac{M}{10}$ $ HCl+100 $ $mL$ $ \frac{M}{10}$ $ NaOH$

$pH$ of which one of them will be equal to 1 ?

(a) b

(b) a

(c) c

(d) d

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Answer:

Correct Answer: 33.(c)

Solution:

  1. (c) Meq. of $HCl=75 \times \frac{1}{5} \times 1=15$

Meq. of $NaOH=25 \times \frac{1}{5} \times 1=5$

Meq. of $HCl$ in resulting solution $=10$

Molarity of $[H^{+}]$in resulting mixture $=\frac{10}{100}=\frac{1}{10}$

$pH=-\log [H^{+}]=-\log [\frac{1}{10}]=1.0$