Explore BrainMass

Explore BrainMass

    Nonlinear Differential Equations : Chemical Reactions Problem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!


    A Chemical X is produced from a reaction involving chemicals A and B. The rate of production of X varies directly as the product of the instantaneous amounts of A and B present. The formation of X requires 6 pounds of A for every 4 pounds of B. 30 pounds of A and 20 pounds of B are present initially and 10 pounds of X are formed in one hour.

    a. Find the amount of X present at any time t.
    b. Find the amount of X present after 6 hours.
    c. Find the maximum amount of X that can be formed under these conditions.

    I know that you would use dx/dt = k(Ao - A)(Bo - B). I'm just having problems keeping this straight.

    © BrainMass Inc. brainmass.com March 4, 2021, 8:06 pm ad1c9bdddf

    Solution Preview

    The explanations are written in the attached pdf file.

    About the right side of ...

    Solution Summary

    Nonlinear Differential Equations and Chemical Reactions are investigated. The solution is detailed and well presented.