Constants | Periodic Table PartA Some reactions are so rapid that they are said

Question

Constants | Periodic Table PartA Some reactions are so rapid that they are said to be diffusion-controlled; that is, the reactants react as quickly as they can collide. An example is the neutralization of HO by OH , which has a second-order rate constant of 1.3 x 1011 Ms1at 25 C. % lf equal volumes of 3.8 M HCI and 3.8 M Na the acid to be neutralized? are mixed instantaneously, how much time is required for 99 Express your answer using two significant figures. t- Submit Request Answer Part Under normal laboratory conditions, would you expect the rate of the acid-base neutralization to be limited by the rate of the reaction or by the speed of mixing? by the rate of the reaction by the speed of mixing

Explanation / Answer

Solution :-

Part A)

Initial molarity of acid [A]o= 3.8 M

Lets calculate the amount of acid reacted when it reaches to 99.999%

3.8M * 99.999 % /100 % = 3.79996 M

Final concentration of acid remained = 3.8 M – 3.79996 M = 3.8*10^-5 M

Second order rate constant K = 1.3*10^11 M-1.s-1

Time = ?

Second order integrated rate law is as follows

1/[A]t = Kt + (1/[A]o)

1/3.8*10^-5 = 1.3*10^11 M-1 s-1 * (t) + (1/3.8)

26316 = 1.3*10^11 M-1s-1 * t + 0.2632

26316-0.2632 / 1.3*10^11 M-1s-1 =t

2.0*10^-7 s = t

Therefore time needed for the reaction is 2.0*10^-7 s

Part B)

Since the time required to complete the reaction is very less. Therefore by the speed of mixing the rate can be limited.

By the speed of mixing      

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