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1. A student mixes 5.00 mL of 2.00 x 10-3 M Fe(NO3)3 with 5.00 mL of 2.00 x 10-3

ID: 890176 • Letter: 1

Question

1. A student mixes 5.00 mL of 2.00 x 10-3 M Fe(NO3)3 with 5.00 mL of 2.00 x 10-3 M KSCN. She finds that in the equilibrium mixture the of concentration of FeSCN2+ is 1.40 x 10-4 M.

a) What is the initial concentration in solution of the Fe3+ and SCN- ?

b) What is the equilibrium constant for the reaction?

2. Assume that the reaction studied is actually: Fe3+ (aq) + 2 SCN- (aq) Fe(SCN)2+ (aq)

a) What is the equation for determining the equilibrium constant?

b) Using the information from question 1 and assuming [Fe(SCN)2+] = 1.40 x 10-4 M, calculate the equilibrium concentration of Fe3+ and SCN- .

c) Determine the numerical value of K.

Explanation / Answer

a)
Total volume = 5+5 =10 mL = 1*10^-2 L
Number of moles of Fe3+ = M*V
               =2*10^-3 M * 5*10^-3 L
               = 1*10^-5 mol
[Fe3+] = number of moles / total volume
              = (1*10^-5) / (1*10^-2)
                = 1*10^-3 M

Number of moles of SCN- = M*V
               =2*10^-3 M * 5*10^-3 L
                = 1*10^-5 mol

[SCN-] = number of moles / total volume
              = (1*10^-5) / (1*10^-2)
                = 1*10^-3 M

b)

Fe(NO3)3 + KSCN   ---> Fe (SCN) 2+ + KNO3

1*10^-3         1*10^-3             0                 0     <----initial

1*10^-3-x    1*10^-3-3x          x                  x    <---- at equilibrium

Given that at equilibrium:
[FeSCN 2+] is 1.4*10^-4 M
so,
x= 1.4*10^-4 M

Kc = [FeSCN 2+] [KNO3] /{[Fe(NO3)3] [KSCN]}
     = x*x / {(1*10^-3 - x) (1*10^-3 - x)}
      = x^2 / (1*10^-3 - x)^2
      = (1.4*10^-4)^2 / (1*10^-3 - 1.4*10^-4)^2
      =0.0264
Answer: 0.0264

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