Q5 / 150 · MHT CET 2023 (12 May Shift 1) · Chemistry

What is the expression for solubility product of silver chromate if it's solubility is expressed as $\mathrm{S}$ mol L${ }^{-1}$ ?

  • A
    $2 \mathrm{~S}^2$
  • B
    $3 \mathrm{~S}^3$
  • Correct answer
    C
    $4 \mathrm{~S}^3$
  • D
    $27 \mathrm{~S}^4$

Solution

$\begin{array}{ll} & \mathrm{Ag}_2 \mathrm{CrO}_{4(\mathrm{~s})} \rightleftharpoons 2 \mathrm{Ag}_{(\mathrm{aq})}^{+}+\mathrm{CrO}_{4(\mathrm{aq})}^{2-} \\ & \mathrm{Here}, x=2, \mathrm{y}=1 \\ \therefore \quad & \mathrm{K}_{\mathrm{sp}}=x^x \mathrm{y}^{\mathrm{y}} \mathrm{S}^{x+\mathrm{y}}=(2)^2(1)^1 \mathrm{~S}^{2+1}=4 \mathrm{~S}^3\end{array}$

Hence, the correct answer is option: 'C'.

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