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Math Help - expression for time?

  1. #1
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    expression for time?

    The rate of reaction of an irreversible second order bimolecular reaction of species
    A and B can be written as:

     -ra = C_{A0} \frac{dX_{A}}{dt} = k(C_{A0} - C_{A0}X_{A})(C_{B0} - C_{A0}X_{A})

    where   C_{A0} and  C_{B0} represent the initial concentration of reactants A and B respectively, k is the reaction rate constant and   X_{A} is the conversion of the limiting reactant A.

    Find an expression for the conversion of A   (X_{A}) in terms of time for the above reaction.


    I thought of simply rearranging the formula to get it in terms of dxa/dt, since this is the change of the concentration of the reactant A with respect to time, however it is not the correct answer. Can someone please explain how to start this? I dont understand what I am being asked to do?

    Thank you.
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  2. #2
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    can someone tell me what is the integral of  \int \frac{dX_{A}}{dt}  ? Does that give me 'time' ?
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