$\mathrm{Ag}_{2} \mathrm{CrO}_{4}$ and $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ are simultaneously dissolved in…

$\mathrm{Ag}_{2} \mathrm{CrO}_{4}$ and $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ are simultaneously dissolved in water. The solubility of $\mathrm{Ag}_{2} \mathrm{CrO}_{4} \&$ $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ are ' $x^{\prime}$ and ' $\mathrm{y}^{\prime} \mathrm{mol} / l$ respectively. If the $\mathrm{K}_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{CrO}_{4}$ is ' $\mathrm{a}^{\prime}$ and that of $\mathrm{Ag}_{2} \mathrm{CO}_{3}$ is ' $\mathrm{b}$ ', then which of the following is correct?
  1. $(x+y)^{2} x=a$
  2. $(2 x+2 y) y=b$
  3. $(2 x+2 y)^{2} x=b$
  4. $(2 y+2 x)^{2} y=b$

Solution

$\mathrm{Ag}_{2} \mathrm{CrO}_{4}(\mathrm{~s}) ightleftharpoons 2 \mathrm{Ag}^{+}+\mathrm{CrO}_{4}^{2-}$
$(2 x+2 \mathrm{y}) \quad x$
$\mathrm{Ag}_{2} \mathrm{CO}_{3}(\mathrm{~s}) ightleftharpoons 2 \mathrm{Ag}^{+}+\mathrm{CO}_{3}^{2-}$
$(2 x+2 \mathrm{y}) \mathrm{y}$
$\mathrm{K}_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{CrO}_{4}=\mathrm{a}=(2 x+2 \mathrm{y})^{2} x$
$\mathrm{~K}_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{CO}_{3}=\mathrm{b}=(2 x+2 \mathrm{y})^{2} \mathrm{y}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

Practice more EQUILIBRIUM questions on Aicharya