Question

The insoluble salts AV, B2W, C2X3, DY2, and EZ3, which were formed from the metal ions A+, B+, C3+, D2+, and E3+ and the nonmetals V1–, W2–, X2–, Y1–, and Z1–, all have the same Ksp value. Which salt has the highest molar solubility? a. B2W b. EZ3 c. DY2 d. AV e. C2X3

Answer 1

the salt that has the highest solubility is

(a) AV

∴ S = 1 M

Step-by-step explanation:

a) AV ↔ A+ + V-

S S S

⇒ Ksp = [ A+ ] * [ V- ] = S * S = S²

⇒ S = √ Ksp

b) B2W ↔ 2B+ + W2-

S 2S S

⇒ Ksp = [ B+ ]² * [ W2- ] = ( 2S )² * S = 4S³

⇒ S = ∛ (Ksp / 4)

c) C2X3 ↔ 2C3+ + 3X2-

S 2S 3S

⇒ Ksp = [ C3+ ]² * [ X2- ]³ = (2S)² * (3S)³ = 4S² * 27S³ = 108S∧5

⇒ S = ( Ksp / 108 )∧(1/5)

d) DY2 ↔ D2+ + 2Y-

S S 2S

⇒ Ksp = [ D2+ ] * [ Y- ]² = S * (2S)² = 4S³

⇒ S = ∛ ( Ksp / 4 )

e) EZ3 ↔ E3+ + 3Z-

S S 3S

⇒ Ksp = [ E3+ ] * [ Z- ]³ = S * (3S)³ = 27S∧4

⇒ S = ( Ksp / 27 )∧(1/4)

assuming that Ksp = 1

a) S = √1 = 1

b) S = ∛(1/4) = 0.63

c) S = ( 1 / 108)∧(1/5) = 0.392

d) S = ∛ ( 1/4 ) = 0.63

e) S = ( 1 / 27 )∧(1/4) = 0.438