Question

In: Chemistry

The equilibrium constant, Kc, for the following reaction is 10.5 at 350 K. 2CH2Cl2(g) ------CH4(g) +...

The equilibrium constant, Kc, for the following reaction is 10.5 at 350 K.

2CH2Cl2(g) ------CH4(g) + CCl4(g)

Calculate the equilibrium concentrations of reactant and products when 0.321 moles of CH2Cl2 are introduced into a 1.00 L vessel at 350 K.

[CH2Cl2] = ------------M

[CH4] = ------- M

[CCl4] = ------ M

Solutions

Expert Solution

             2CH2Cl2(g) ------CH4(g) + CCl4(g)

I          0.321                        0              0

C         -2x                           +x             +x

E       0.321-2x                    +x             +x

   [CH2Cl2]   = 0.321-2x/1   = 0.321-2x

[CH4]   = x/1   = x

[CCl4]   = x/1 = x

       Kc    = [CH4][CCl4]/[CH2Cl2]^2

      10.5    = x*x/(0.321-2x)^2

    10.5     = (x/0.321-2x)^2

    3.24    = x/0.321-2x

   3.24*(0.321-2x) = x

      x= 0.139

[CH2Cl2] = 0.321-2x = 0.321-2*0.139    = 0.043M

[CH4] = x = 0.139 M

[CCl4] = x = 0.139 M

   

    


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