A products, time and concentration data were collected and plotted as shown here

Question

A products, time and concentration data were collected and plotted as shown here. Determine the reaction order, the rate constant, and the units of the rate constant. The rate constant for this first-order reaction is 0.0210 s-1 at 400 degree C. A products After how many seconds will 12.7% of the reactant remain? The table to the right gives the concentrations of C2H4O(g) as a function of time at a certain temperature for the following reaction C2H4O(g) CH4(g) + CO(g) Verify that this is a first-order reaction by plotting [C2H4O] versus time and determining the value of the rate constant.

Explanation / Answer

1.
from the graph it is second order reaction

Order = 2

K2 = 1/t[1/a-x - 1/a]
K2 = 1/30[ 1/0.484 -1/0.6]
K2 = 0.013315 M-1.S-1

2. it is a first order reaction

K1 = 2.303/t log[a/a-x]
0.021 = 2.303/t log [100/12.7]
t = 98.28 sec

3. K1 = 2.303/t log[a/a-x]
K1 = 2.303/52 log [0.086/0.0465]

K1 = 0.0118 Min-1

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