Question 18 of 22 Incorrect Map Sapling Learning macmillan l

Question 18 of 22 Incorrect Map Sapling Learning macmillan learning For A products, time and concentration data were collected and plotted as shown here. [A] (M) t (s) 0.6000.0 0.484 30.0 0.405 60.0 0.349 90.0 [Al In[A] 1/[A] Determine the reaction order, the rate constant, and the units of the rate constant. Number Number Units order-0 | | 3.87× 10-3 M- s-1 O Previous Give Up & View Solution e Check Answer Next Exit

Solution

if [A] vs t is a straight line , zero order

if ln [A] vs t is a straight line , first order

if 1/[A] vs t is a straight line , second order

from the given graphs

it can be infered that 1/[A] vs t is a straight line

so

the reaction is 2nd order

now

for 2nd order reactions

1/[A] = kt + (1/[A]o)

consider between t = 0 sec and t= 30 sec

[A]o = 0.6

t = 30 s

[A] = 0.484

so

1/ (0.484 M) = (30s x k) + (1/0.6 M)

30k (s) = (1/0.484) - (1/0.6) M-1

30k (s) = 0.399449 M-1

k = 0.0133 M-1 s-1

so

order = 2

k = 0.0133 M-1 s-1