In contrast to the situation of Exercise 40, experiments show that the reaction H₂ + Br₂ → 2HBr satisfies the rate law

and so for this reaction the differential equation becomes

where x = [HBr] and a and b are the initial concentrations of hydrogen and bromine.
(a) Find x as a function of t in the case where a = b. Use the fact that x(0) = 0.
(b) If a > b, find t as a function of x.

Transcribed Image Text:

d[HBr] dt k[H2][Br]/? dx dt K(а — х)(ь — х)\2