Question

$K_{sp}$ of $Z{r}_3(P{O}_4{)}_4$ in terms of solubility (s) is:

• A. $108s^7$
• B. $4s^3$
• C. $6912s^7$
• D. $27s^4$

Answer 1

The correct option is C $6912s^7$

$\begin{array}{ccccc}Z{r}_3(P{O}_4{)}_4& \rightleftharpoons & 3Z{r}^{4+}& +& 4PO{4}^{3-}\\ & & 3s& & 4s\\ K_{sp}& =& (Z{r}^{4+}{)}^3& & (P{O}_4^{3-}{)}^4\\ K_{sp}& =& (3s{)}^3& & (4s{)}^4\\ K_{sp}& =& 27s^3& \times & 256s^4\\ K_{sp}=6912s^7& & & & \end{array}$