2. Students were studying decomposition reactions to determine how the rate of t

Question

2. Students were studying decomposition reactions to determine how the rate of the reaction could be described and understood mathematically. The reactions were identified as reaction #33 and reaction #15. General profiles of various graphs of the data are as follows. Reaction #33 Reaction #15 Reaction #33 Reaction #15 [A] In[A] [A] Time Time Time Write the integrated rate law that would be used to describe and calculate the relationships between the concentration of A and time for each of the reactions. (Refer to the integrated rate law slides from lecture or your text book for clarification.

Explanation / Answer

Decomposition reactions are first order reactions and follow the equation,

k*t = ln(A0/A) ; where k = rate constant , t = time and A0 = initial concentration of the reactant , A = concentration of reactant after time 't'

Thus, k*t = lnA0 - lnA

or, lnA = -k*t + lnA0

Thus, the graph is a striaght line between lnA & t with slope = -k & y-intercept = lnA0

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