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Ksp Problem Set - Widener University

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d.The mass of CaF 2 that will dissolve in 5000.0 L of 0.10 M potassium fluoride.<br />

Potassium fluoride is a salt, it dissociates completely according to<br />

KF --> K1+ + F1-<br />

− 1<br />

C KF := 0.1⋅mole⋅liter<br />

C F_initial := C KF<br />

Next the equlibrium for the solubility of CaF 2<br />

CaF2 Ca2+ + 2 F1-<br />

⋅( ) 2<br />

K sp_CaF2 = X C F_initial + 2X<br />

If you assume that X is small this rearanges to:<br />

2<br />

K sp_CaF2 = X⋅C F_initial<br />

X :=<br />

K sp_CaF2<br />

C F_initial<br />

2<br />

X 3.894 × 10 − 9 − 1<br />

=<br />

mole⋅liter<br />

Which shows that the assumption was reasonable<br />

From this we can calculate the mass of CaF 2 that dissolves<br />

V :=<br />

5000⋅L<br />

mole CaF2 :=<br />

V⋅<br />

X<br />

mole CaF2 = 1.947 × 10 − 5 mol<br />

mass CaF2 :=<br />

mole CaF2 ⋅MW CaF2<br />

mass CaF2 = 1.52 × 10 − 3 gm<br />

ksp_a.mcd<br />

3/25/2004<br />

10 S.E. Van Bramer<br />

svanbram@science.widener.edu

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