Question

In: Chemistry

The equilibrium constant for the following reaction: H2(g) + Br2(g) ↔ 2HBr (g) is 1.95 x...

The equilibrium constant for the following reaction: H2(g) + Br2(g) ↔ 2HBr (g) is 1.95 x 103 at a certain temperature. Find the equilibrium pressure of HBr if 10.70 atm of HBr is introduced into a sealed container at this temperature.

Solutions

Expert Solution

H2(g) + Br2(g) ↔ 2HBr (g)

      I          0             0              10.7

     C        +x           +x               -2x

      E       +x            +x             10.7-2x

       KP   = [HBr]^2/[H2][Br2]

      1.95*10^3    = (10.7-2x)^2/x*x

     1.95*10^3 *x^2    = (10.7-2x)^2

1.95*10^3 *x^2-4x^2-114.19+42.8x=0

1946x^2+42.8x-114.19=0

    x   = 0.23

   [HBr] = 10.7-2x   = 10.7-2*0.23 = 10.24atm

[H2]   = x     = 0.23atm

[Br2] = x    = 0.23atm


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