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help with the following show all work!

Answer is 1.76mM . I keep on getting 2.3 Show all work please!

Question 4 (1 point) What is the molar solubility of MgF2 in a 0.05000 M solution of Ag(NO3)? Enter your answer in mM (mmol/LData Tables: TABLE 8-1 Activity coefficients for aqueous solutions at 25°C Ionic strength (H, M) lon size (a, pm) lon 0.001 0

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Answer #1

Given data,

[Mg2+] = 0.0500 M

Ksp of MgF2 = 8.4 x 10-8

Let us consider a reaction,

MgF2 <-------------> Mg2+ + 2F-

Ksp = [Mg2+] [F-]2

Ksp = [s] [2s]2

Ksp = [s+ 0.050] [2s]2

8.4 × 10–8 = [s+ 0.050 ] [4s2]

8.4 × 10–8 = 4s3 + 0.2 s2

Since s is very small, s3 can be neglected.

Hence,

8.4 × 10–8 =  0.2 s2

s2 =  4.2 × 10–7

= 0.000648

= 6.48 x 10-4 M

Therefore, the molar solubility = 6.48 x 10-4 M

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