20 ,mL of calcium hydroxide was consumed when it was reacted with… - Vidyadip

MCQ

$20\,mL$ of calcium hydroxide was consumed when it was reacted with $10\,mL$ of unknown solution of $H _2 SO _4$. Also $20 mL$ standard solution of $0.5\,M$ $HCl$ containing $2$ drops of phenolphthalein was titrated with calcium hydroxide the mixture showed pink colour when burette displayed the value of $35.5\,mL$ whereas the burette showed $25.5\,mL$ initially. The concentration of $H _2 SO _4$ is $..........M$ (Nearest integer)

A
$2$
B
$3$
✓
$1$
D
$4$

✓

Answer

Correct option: C.

$1$

c
Reaction with $HCl$

$Ca ( OH )_2+2 HCl \rightarrow CaCl _2+2 H _2 O$

Volume of $Ca ( OH )_2=10 ml$

Volume of $HCl =20 ml$

Concentration of $HCl =0.5 M$.

No. of milli moles of $HCl =10$

No. of milli moles of $Ca ( OH )_2=5$.

$\text { i.e. }M _{ Ca ( OH )_2}=\frac{\text { no. of milli moles }}{ V ( ml )}=\frac{5}{10}$

$=0.5\,M.$

Reaction with $H _2 SO _4$

$Ca ( OH )_2+ H _2 SO _4 \rightarrow CaSO _4+2 H _2 O$

No. of milli moles of $Ca ( OH )_2=20 \times 0.5$

$=10$

i.e. no. of milli moles of $H _2 SO _4=10$

$\Rightarrow M _{ H _2 so }=\frac{\text { no. of mil lim oles }}{ V ( ml )}$

$=\frac{10}{10}$

$=1\,M$

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