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In: Chemistry

The equilibrium constant, K, for the following reaction is 1.29×10-2 at 600 K. COCl2(g) CO(g) +...

The equilibrium constant, K, for the following reaction is 1.29×10-2 at 600 K. COCl2(g) CO(g) + Cl2(g) An equilibrium mixture of the three gases in a 1.00 L flask at 600 K contains 0.294 M COCl2, 6.16×10-2 M CO and 6.16×10-2 M Cl2. What will be the concentrations of the three gases once equilibrium has been reestablished, if 4.50×10-2 mol of CO(g) is added to the flask? [COCl2] = M

[CO] = M

[Cl2] = M

Solutions

Expert Solution

                         COCl2(g)-------------> CO(g)    +        Cl2(g)

         I              0.294             6.16*10^-2 + 4.5*10^-2    6.16*10^-2

   C +x    -x    -x

   E 0.294+x      10.66*10^-2 -x 6.16*10^-2 -x

kc = [CO][Cl2]/[COCl2]

1.29*10^-2 = (10.66*10^-2-x)(6.16*10^-2 -x) /0.294+x

                       1.29*10^-2 *(0.294+x)   = (10.66*10^-2-x)(6.16*10^-2 -x)

                            x   = 0.0169

                  [CoCl2]   = 0.294 + x   = 0.294+0.0169    = 0.311M

                  [CO]         = 10.66*10^-2-x    = 10.66*10^-2 -0.0169   = 0.0897M

                  [Cl2]           = 6.16*10^-2 -x   = 6.16*10^-2 -0.0169     = 0.0447M


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