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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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