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The equilibrium constant for the following reactions are given at 25^ C array l 2 ~A B + C , K ₁=1.0 2 ~B C + D , K ₂=16 2 C + D 2 P , K ₃=25 array The equilibrium constant for the reaction P A + 1 2 ~B at 25^ C is

Options

  1. A1 20
  2. B20
  3. C1 42
  4. D21

Correct answer

A. 1 20

Step-by-step solution

Hint: We can manipulate the given equations as follows 1 2 ~B + 1 2 C A , K ₁^ =1 1 2 C + 1 2 D B , K ₂^ = 1 16 P C + 1 2 D , K _ 3 ^ = 1 25 P A + 1 2 ~B , ~K _ final =1 1 4 1 5 = 1 20

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