Use the data in Example 13.5 to determine graphically the half-lifeof the reacti

Question

Use the data in Example 13.5 to determine graphically the half-lifeof the reaction.

Example 13.5
The rate of decomposition of azomethane is studied by monitoringthe partial pressure of the reactant as a function of time.

CH3-N=N-CH3(g)-->N2(g)+C2H6(g)
The data obtained at 300 degrees celcius are shown in the followingtable

Time (s)            PartialPressure Azomethane (mmHg)
0                       284
100                    220
150                    193
200                    170
250                    150
300              132
k=2.55x20^-3 s^-1

Explanation / Answer

To draw the graph, you'll need to to make time as your X-axisand ln(P) as the Y-axis The half life = ln(2)/k , So, if the k value is 2.55x20^-3s^-1 as you put,             t1/2 =0.693/(2.55*20-3)                  = 2174 seconds

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