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Math Help - Equilibrium Problem

  1. #1
    Junior Member
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    Equilibrium Problem

    How large should the equilibrium constant be for the rxn: A + 2B <=> C + 2D so that all but 0.10% of A is converted into products when A and B are reacted in an initial molar ratio of 1:2?

    Can someone help me w/this problem? I have no idea how to do it. I tried setting it up like this but confused:

    K = [c][d]^2/ [a][b]^2 .....

    Thanks! n the answer is 9.97 * 10^8
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  2. #2
    MHF Contributor
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    Quote Originally Posted by jsu03 View Post
    How large should the equilibrium constant be for the rxn: A + 2B <=> C + 2D so that all but 0.10% of A is converted into products when A and B are reacted in an initial molar ratio of 1:2?

    Can someone help me w/this problem? I have no idea how to do it. I tried setting it up like this but confused:

    K = [c][d]^2/ [a][b]^2 .....

    Thanks! n the answer is 9.97 * 10^8
    The initial concentrations of A , B , C and D are respectively x , 2x , 0 , 0 .

    99.9 % of A is being converted into products. In equilibrium state,

    A = x - 0.999x = 0.001x
    B= 2x - 1.998x = 0.002 x
    C= 0 + 0.999x =0.999x
    D= 1.998x

    K=\frac{(0.999x)(1.998x)^2}{(0.001x)(0.002x)^2}

    The 'x' s will eventually cancel off.
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