Equilibrium Ques 34

34. What is the $pH$ of the resulting solution when equal volumes of $0.1$ $ M $ $NaOH$ and $0.01 $ $M$ $ HCl$ are mixed?

[2015 RS]

(a) $12.65$

(b) $2.0$

(c) $7.0$

(d) $1.04$

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Answer:

Correct Answer: 34.(a)

Solution:

  1. (a) $g$ eq of $NaOH=0.1 \times V=0.1 $ $V$

$g$ eq of $HCl=0.01 \times V=0.01 $ $V$

$g$ eq of $NaOH>g$ eq. $HCl$

hence, resultant solution should be basic, hence from the eqn

$M_1 V_1-M_2 V_2=M $ $V$

$0.1 V-0.01 V=M $ $V$

$M=\frac{0.09}{2}=0.045=4.5 \times 10^{-2}$

Now, $pOH=-\log [OH^{-}]$

$=-\log 4.5 \times 10^{-2}=1.34$

$\because pH+pOH=14$

$\therefore pH=14-1.34=12.65$