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Consider this reaction data If you were going to graphically determine the activ

ID: 569852 • Letter: C

Question

Consider this reaction data If you were going to graphically determine the activation energy this reaction, what points would you plot? A products Number Number T(K) k(s 275 775 To avoid rounding errors, use at least three significant figures in all values. point 1:275 0.380 0.380 0.745 Number Number point 2: 775 0.745 Determine the rise, run, and slope of the line formed by these points rise run slope Number Number Number 0.365 500 7.3× 10-4 What is the activation energy of this reaction? Number 0.006 J/ mol

Explanation / Answer

We need to plot lnK on y axis and 1/T on x axis
K = 0.38
ln K = ln (0.38) = -0.96758
T = 275.0
1/T = 0.00364


point 1 is:
x = 0.00364
y = -0.96758


K = 0.745
ln K = ln (0.745) = -0.29437
T = 775.0
1/T = 0.00129


point 2 is:
x = 0.00129
y = -0.29437


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rise = (y1-y2) = -0.96758 - -0.29437 = -0.67321
rise = (X1-X2) = 0.00364 - 0.00129 = 0.00235
slope = rise/run
= -0.67321/0.00235
= -286.95703
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use
slope = - Ea/R
= -286.95703 = -Ea/8.314
Ea = 2386 J/mol