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Choose the Best Answer · Q14

Q.MY and NY3NY_3 are insoluble salts and have the same KspK_{sp} values of 6.2×10−136.2 \times 10^{-13} at room temperature. Which statement would be true with regard to MY and NY3NY_3?

a) The salts MY and NY3NY_3 are more soluble in 0.5M KY than in pure water
b) The addition of the salt KY to the suspension of MY and NY3NY_3 will have no effect on their solubilities
c) The molar solubilities of MY and NY3NY_3 in water are identical
d) The molar solubility of MY in water is less than that of NY3NY_3
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Step 1. For MY, Ksp=s2⇒s=6.2×10−13≈7.87×10−7K_{sp}=s^2 \Rightarrow s=\sqrt{6.2\times10^{-13}}\approx7.87\times10^{-7} M.

Step 2. For NY3NY_3, Ksp=27s4⇒s4=6.2×10−1327=2.30×10−14⇒s=(2.30×10−14)1/4≈3.89×10−4K_{sp}=27s^4 \Rightarrow s^4=\dfrac{6.2\times10^{-13}}{27}=2.30\times10^{-14} \Rightarrow s=(2.30\times10^{-14})^{1/4}\approx3.89\times10^{-4} M.

Step 3. Comparing, s(MY)≈7.87×10−7s(MY)\approx7.87\times10^{-7} M is much smaller than s(NY3)≈3.89×10−4s(NY_3)\approx3.89\times10^{-4} M -- so MY's molar solubility is indeed less than NY3NY_3's, confirming (d). …

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