for the reaction of iodine atoms with hydrogen molecule in the gas phase If you

Question

for the reaction of iodine atoms with hydrogen molecule in the gas phase If you were going to graphically determine the a this reaction, what points would you plot? Consider this reaction data: A products Number Number T(K) k(s-1) 275 0379 725 0.784 point 1: I Number point 2: Determine the rise, run, and slope of the line formed by these points. rise run slope Number Number Number What is the activation energy of this reaction? J/mol Tools ends soont FREE 2 DAY SHIPPING ON ALLUs MacBook Air 20 F5 F6

Explanation / Answer

From Ahrrenius equation;

K1 = A*exp(-Ea/(RT1))

K2 = A*exp(-Ea/(RT2))

Note that A and Ea are the same, they do not depend on Temperature ( in the range fo temperature given)

Then

Divide 2 and 1

K2/K1 = A/A*exp(-Ea/(RT2)) / exp(-Ea/(RT1))

Linearize:

ln(K2/K1) = -Ea/R*(1/T2-1/T1)

then...

points :

x1 = 1/T = 1/275= 0.00363

x2 = 1/T = 1/725= 0.0013

y1 = ln(k1) = ln(0.379) = -0.97

y2 = ln(k2) = ln(0.784) = -0.243

rise --> y2-y1 = -0.243 - -0.97 = 0.727

run --> X2-x1 = 0.0013-0.00363 = -0.00233

slope = rise/run = -0.727/0.00233 = - 312.01

slope = -Ea/R

Ea = -slope*R

Ea = -(-312.01) * 8.314 = 2594.05 J/mol

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