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6-2.Equilibrium-II (Ionic Equilibrium)
medium
Solid $Ba(NO_3)_2$ is gradually dissolved in a $1.0 \times 10^{-4}\, M\, Na_2CO_3$ solution. At which concentration of $Ba^{2+}$, precipitate of $BaCO_3$ begins to form ? $(K_{sp}$ for $BaCO_3 = 5.1 \times 10^{-9})$
A
$5.1 \times {10^{ - 5}}\,M$
B
$7.1 \times {10^{ - 8}}\,M$
C
$4.1 \times {10^{ - 5}}\,M$
D
$8.1 \times {10^{ - 7}}\,M$
(JEE MAIN-2013)
Solution
Given $N{a_2}C{O_3} = 1.0 \times {10^{ – 4}}\,M$
$\therefore \,[CO_3^ – ] = 1.0 \times {10^{ – 4}}\,M$
$i.e.\,\,\,s = 1.0 \times {10^{ – 4}}\,M$
At equilibrium
$[B{a^{ + + }}][CO_3^ – ] = {K_{sp}}\,of\,BaC{O_3}$
$[B{a^{ + + }}] = \frac{{{K_{sp}}}}{{[CO_3^ – ]}} = \frac{{5.1 \times {{10}^{ – 9}}}}{{1.0 \times {{10}^{ – 4}}}}$
$ = 5.1 \times {10^{ – 5}}\,M$
Standard 11
Chemistry