First slide

Solubility product(KSP)

Question

If equal volumes of BaCl₂ and NaF solutions are mixed, which of these combinations will not give a precipitate?
Substance = BaF₂ k_sp = 1.7 × 10^-7

Easy

Solution

For precipitation, K_IP $\geqslant$ K_sp
$1)K_{IP}=\left[ {B{a^{ + 2}}} \right]{\left[ {{F^ - }} \right]^2}$
   $K_{IP}=\frac{4\times10^{-3}}{2}\times\left ( \frac{2\times{10^{-2}}}{2} \right )^2=2\times10^{-7}$
    $\therefore$ Precipitation will occur.
$2)K_{IP}=\left ( \frac{10^{-2}}{2} \right )\times\left ( \frac{1.5\times10^{-2}}{2} \right )^2$
   ${K_{IP}} = 0.28 \times {10^{ - 6}} = 2.8 \times {10^{ - 7}}$
   precipitation will occur.
$3)K_{IP}=\left ( \frac{0.1}{2} \right )\times\left ( \frac{0.1}{2} \right )^2$
   ${K_{IP}} = 2.5 \times {10^{ - 6}}$
   precipitation will occur.
$4)K_{IP}=\left ( \frac{0.020}{2} \right )\times\left ( \frac{0.002}{2} \right )^2$
   ${K_{IP}} = {10^{ - 8}}$
   K_IP < K_sp ⇒ No precipitation will occur.

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