Calculate the solubility (in g·L–1) of CuBr(s) (Ksp = 6.3× 10–9) in 0.57 M NH3(aq).

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Chemistry

Calculate the solubility (in g·L–1) of CuBr(s) (Ksp = 6.3× 10–9)in 0.57 M NH3(aq).

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3.8 Ratings (473 Votes)

Cu+(aq) + 2NH3(aq) <-------> Cu(NH3)2(aq)

Kf = 6.3 x 1010

CuBr(aq)     <------->    Cu+(aq) + Br-(aq)

Ksp of CuBr = 6.3 x 10-9

Adding both equations,

CuBr + 2NH3  <-------> Cu(NH3)2 + Br-

K = (6.3 x 1010) x (6.3 x 10-9) = 396.9

                      CuBr   +   2NH3     <------->    Cu(NH3)2 +    Br-
I                                     0.57 0                   0
C                                   -2x +x                  +x
E                                   (0.57-2x) x                   x

K = x2/(0.57 - 2x)2 = 396.9

x/(0.57 - 2x) =19.9

x = 11.34 - 39.8 x

40.8 x = 11.34

x = 0.277 M

Solubility (in g/L) of CuBr(s) = 0.277 x (143.45 g/mol) = 39.87 g/L


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