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The weak base B(Kb=1.0×10-5)equilibrates between water (phase 1) and benzene (phase 2)

(a) Define the distribution coefficient, D for this system.

(b) Explain the difference between D and K the partition coefficient.

(c) Calculate D at pH8.00ifk=50.0

(d) Will D be greater or less at pH10thanatpH8? Explain why.

Short Answer

Expert verified
  • In this task, we have a weak base B(Kb=1.0×10-5)that equilibrates between water (phase 1) and benzene (phase 2) .

Step by step solution

01

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(a)

  • Let us write distribution coefficient for this system.
  • The distribution coefficient, D for this system isD=BC6H6BH2O+BH+H2O
02

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(b)

  • From the distribution coefficientD=BC6H6BH2O+BH+H2O, let us find the difference between D and K the partition coefficient.
  • Here the difference is distribution coefficient D- quotient of total concentrations of species in phases
  • Partition coefficient K - quotient of neutral species concentrations {B} in phases.
03

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(c)

  • Let us recall the following equation before moving on to solve the (c) part. Kw=Ka×KbKa=KaKbKa=10-1410-5Ka=10-9

  • Using the and calculate the concentration of,

pH=-logH+H+=10-pHH+=10-8

  • Now, we shall calculate at if while using the equation below.

D=K×KKa+H+D=50×10-910-9+10-8D=4.545

  • Calculate D at pH 8.00 if K = 50.0 , we get D = 4.54
04

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(d)

  • Here, let us explain will be greater or less at pH = 10 than at pH = 8 .
  • D would be greater as it is inversely proportional to the concentration of H+
  • This can be better explained by calculating the distribution coefficient:

D=50×10-910-9+10-8D=K×KKa+H+D=50×10-910-9+10-10D=45.45

Result:

  • (a) The distribution coefficient, D for this system is D=BC6H6BH2O+BH+H2O.
  • (b) distribution coefficient D - quotient of total concentrations of species in phases
  • Partition coefficient - quotient of neutral species concentrations in phases.
  • (c) D at pH 8.00 if K = 50.0 is 4.545 .
  • (d) D would be greater as it is inversely proportional to the concentration of H+

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