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# Calculus word problem help? Watch

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

where and represent the initial concentration of reactants A and B respectively, k is the reaction rate constant and is the conversion of the limiting reactant A.

Find an expression for the conversion of A in terms of time for the above reaction.

Dont know what to do, should I be integrating?

Any help appreciated!
2. Rewrite this as then times both sides by dt and integrate both sides:

To evaluate the integral on the left hand side, split it into partial fractions first. Don't forget about the constant of integration. Once you've integrated, you would probably need to do some logarithm manipulation to get as the subject.
3. (Original post by ttoby)
Rewrite this as then times both sides by dt and integrate both sides:

To evaluate the integral on the left hand side, split it into partial fractions first. Don't forget about the constant of integration. Once you've integrated, you would probably need to do some logarithm manipulation to get as the subject.
ahh complete genius thanks a lot, I know what to do now!

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Updated: December 1, 2010
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