Answer to Question #4007 in Physical Chemistry for Arieta Tekaura
b moles per liter of a substance B are combined. Under constant temperature the rate of
y′= k(a − y)(b − y) (Law of mass action);
that is, y′ is proportional to the product of the concentration of the substances that are
reacting, where y(t) is the number of moles per liter which have reacted after time t. Solve
this ODE, assuming a and b not equal
Where a and b are the initial concentrations of A and B (assuming a not equal to b), and Y is the extent of reaction at time t. Note that the latter can also be written:
(a-x)/(b-x) = (a/b)exp[(a-b)kt].
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