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In: Chemistry

How many grams of CaF2 will be soluble in 100 ml of 0.250 M Ca(NO3)2? (Ksp...

How many grams of CaF2 will be soluble in 100 ml of 0.250 M Ca(NO3)2? (Ksp of CaF2 = 3.90*10^-11)

Solutions

Expert Solution

                Ca(NO3)2(aq) -------------> Ca^2+ (aq) + 2NO3^- (aq)

                0.25M                                   0.25M

           CaF2(s) ----------------> Ca^2+ (aq) + 2F^- (aq)

                                                  x                 2x+0.25

                Ksp   = [Ca^2+][F^-]^2

               3.9*10^-11   = x*(2x+0.25)^2            

                3.9*10^-11    = x*(0.25)^2                 [ 2x + 0.25 =0.25 , 2x<<<0.25]

                 x                = 3.9*10^-11/(0.25)^2   = 6.24*10^-10

solubility of CaF2   = 6.24*10^-10 M

no of moles of CaF2   = molarity * volume in L

                                     = 6.24*10^-10 *0.1   = 6.24*10^-11moles

mass of CaF2 = no of moles * gram molar mas

                          = 6.24*10^-11 *78    = 4.87*10^-9 g of CaF2


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