a series of experimental measurements of the rate measurements of the rate const
ID: 897920 • Letter: A
Question
a series of experimental measurements of the rate measurements of the rate constant k for a chemical reaction were performedat different temperatures. The experimental data were examined in a spreadsheet program by plotting ln (k) on the y-axis and the reciprocal of the kelvin temperature (1/T) on the x-axis. A straight line was fitted to these values in the spreadsheet by linear least-squares regression and reported as: y=-1120x+26.63
Calculate the activation energy Ea and Arrhenius frequency factor A from this reported linear regression of the experimental data treatment
Explanation / Answer
Step 1) Apply arhenious eqn
k=A e-Ea/RT
Apply logirthems on both sides
logk = logA - Ea/RT
Slope = -Ea/R
Intercept = log A
Step 2) y=-1120x+26.63
Slope = -1120=-Ea/8.314 = 9311.6j/mole= 9.31kj/mole
So Ea, activation energy = 9.31kj/mole
Intercet = 26.63=logA
A= exp(26.63)
=3.67 x 1011
so Frquency factor is 3.67 X 1011
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