Given that K_"sp"=1.3xx10^(-12)Ksp=1.3×1012 for "cuprous iodide"cuprous iodide, CuICuI, what mass of this salt would dissolve in a 1.2*L1.2L volume of water?

1 Answer
Mar 23, 2017

We assess the equilibrium:

CuI(s) rightleftharpoonsCu^(+) + I^(-)CuI(s)Cu++I

Explanation:

CuI(s) rightleftharpoonsCu^(+) + I^(-)CuI(s)Cu++I

This is an equilibrium reaction, and at 2525 ""^@CC we know that:

K_"sp"=1.3xx10^-12=[Cu^+][I^-]Ksp=1.3×1012=[Cu+][I].

As you probably know, [CuI(s)][CuI(s)] does not appear in the equilibrium expression, in that a SOLID cannot express a concentration.

If we write S=[CuI(aq)]=[Cu^+]=[I^-]S=[CuI(aq)]=[Cu+]=[I], then........

K_"sp"=1.3xx10^-12=[Cu^+][I^-]=SxxS=S^2Ksp=1.3×1012=[Cu+][I]=S×S=S2.

So S=sqrt(1.3xx10^-12)=1.14xx10^-6*mol*L^-1S=1.3×1012=1.14×106molL1, with respect to "cuprous iodide"cuprous iodide.

And thus "mass of CuI"=1.14xx10^-6*cancel(mol*L^-1)xx1.2*cancelLxx190.45*g*cancel(mol^-1)=0.26*mg.

In a solution of "sodium iodide", would "cuprous iodide" be MORE or LESS soluble than in this saturated solution? Why?