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) $1.04$
Show Answer
Answer:
Correct Answer: 34.(a)
Solution:
- (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, $pOH=-\log [OH^{-}]$
$=-\log 4.5 \times 10^{-2}=1.34$
$\because pH+pOH=14$
$\therefore pH=14-1.34=12.65$