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ID: 548398 • Letter: E

Question

e Edit View History Bookmarks Window Help Home nsort design Layout ,R Times New Ro- 12 A^ Online teachi.. 8: EOC This question has multiple parts. Work all the parts to get the most points. Calculate the solubility (in moles per liter) of Adona (K, = 2 × 10-32) in each of the following water Solubility 6 2 pts Os pts 3 pts 3 pts 3 pts 3 pts 2 pts 1.5 pts . a solution buffered at pH =4.0 10 Solubility mo/L 12 a solution buffered at plH-9.0 13 Solubility- mol/L Submit Answer Try Another Version 3 item attempts remaining rSS 27 at Previous Next .

Explanation / Answer

Al(OH)3(s) -----------> Al^3+ (aq) + 3OH^-(aq)
                             s           3s
    Ksp = [Al^3+][OH^-]^3
    Ksp = s(3s)^3
         = s*27s^3
     2*10^-32 = 27s^4
     s^4      = 2*10^-32/27
     s^4       = 7.4*10^-34
     s         = 5.2*10^-9M
solubility     = 5.2*10^-9 mole/L
b. PH = 4
   POH = 14-PH
   POH = 14-4
   POH = 10
   -log[OH^-] = 10
      [OH^-] = 10^-10M
   
Al(OH)3(s) -----------> Al^3+ (aq) + 3OH^-(aq)
                             s         3s+10^-10
Ksp = [Al^3+][OH^-]^3
   2*10^-32 = s*(3s+10^-10)^3         (3s+10^-10 = 10^-10)
   2*10^-32 = s*10^-30
    s         = 2*10^-32/10^-30
               = 0.02M
               = 2*10^-2 mole/L

solubility   = 2*10^-2 mole/L
c.
PH = 9
   POH = 14-PH
   POH = 14-9
   POH = 5
   -log[OH^-] = 5
      [OH^-] = 10^-5M
   
Al(OH)3(s) -----------> Al^3+ (aq) + 3OH^-(aq)
                             s         3s+10^-5
Ksp = [Al^3+][OH^-]^3
   2*10^-32 = s*(3s+10^-5)^3         (3s+10^-5 = 10^-5)
   2*10^-32 = s*10^-30
    s         = 2*10^-32/10^-15
               = 2*10^-17M
               = 2*10^-17 mole/L
solubility      = 2*10^-17 mole/L