Chemical EquilibriumHard

Question

The equilibrium constant of the reaction  SO2(g) + 1/2O2(g) ⇋  SO3(g) is 4 × 10-3 atm-1/2. The equilibrium constant of the reaction  2SO3(g) ⇋ 2SO2(g) + O2(g) would be :

Options

A.250 atm
B.4 × 103 atm
C.0.25 × 104 atm
D.6.25 × 104 atm

Solution

SO2(g) + O2(g) ⇋  SO3(g)          Kp = 4 × 10-3
SO3 ⇋  SO2(g) + O2(g)  K′p =
      K′p =
2SO3  ⇋  2SO2 + O2(g) 
K″p = (K′p)2 = = 6250 = 625×102     6.25 × 104 atm.

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