Nitrosyl bromide decomposes by the reaction 2 NOBr( g ) 2 NO( g ) + Br 2 ( g ).
ID: 974783 • Letter: N
Question
Nitrosyl bromide decomposes by the reaction 2 NOBr(g) 2 NO(g) + Br2(g). Show that the following data are consistent with a second-order reaction and determine the second-order rate constant for the reaction.
the rate law is: rate = k . [NOBr]^{2}
Students may do this by plotting the data three different ways.
For each plot, time goes on the x-axis.
A zero-order reaction is linear when [NOBr] on the y-axis.
A first-order reaction is linear when ln[NOBr] is on the y-axis.
A second-order reaction is linear when 1/[NOBr] is on the y-axis.
What is the value of the rate constant at the temperature of the experiment?
Explanation / Answer
For a second order reaction
-dCA/dt= KCA2
when integrated at t=0 CA=CAO and t= t, CA=CA
1/CA= 1/CAO+ Kt
where CA= concentration of NOBr any time, K is rate constant
so a plot of 1/CA vs t gives slope of K ,the rate constant and the intercept the initial concentration
The plot of 1/CA and t is shown below
The equation of best fit as shown is 1/CA= 0.825t+15.32
the slope is K=0.825/M.sec and intercept = 1/CAO= 15.32 and CAO= 0.0653
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