6-2.Equilibrium-II (Ionic Equilibrium)
medium

$Ag _{2} CrO _{4}$ तथा $AgBr$ का विलेयता गुणनफल स्थिरांक क्रमशः $1.1 \times 10^{-12}$ तथा $5.0 \times 10^{-13}$ है। उनके संतप्त विलयन की मोलरता का अनपात ज्ञात कीजिए

Option A
Option B
Option C
Option D

Solution

Let $s$ be the solubility of $A g_{2} C r O_{4}$

Then, $A g_{2} C r O_{4} \longleftrightarrow A g^{2+}+2 C r O_{4}$

$K_{s p}=(2 s)^{2} \cdot s=4 s^{3}$

$1.1 \times 10^{-12}=4 s^{3}$

$s=6.5 \times 10^{-5} \,M$

Let $s$ ' be the solubility of $AgBr$.

$AgBr _{(s)} \longleftrightarrow Ag ^{+}+ Br ^{-}$

$K_{s p}=s^{\prime 2}=5.0 \times 10^{-13}$

$\therefore s^{\prime}=7.07 \times 10^{-7} \,M$

Therefore, the ratio of the molarities of their saturatecd solution is

$\frac{s}{s^{\prime}}=\frac{6.5 \times 10^{-5} \,M }{7.07 \times 10^{-7}\, M }=91.9$

Standard 11
Chemistry

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