The exponential term in the Arrhenius equation is equal to the fraction of molec

Question

The exponential term in the Arrhenius equation is equal to the fraction of molecules. /. with kinetic energy greater than or equal to the activation energy f = e -E a/(R T) Most scientific calculators have an e* function as the second function of the LN button. Part B A certain reaction with an activation energy of 155kJ/mol was run at 545k and again at 565 K What is the ratio of / at the higher temperature to / at the lower temperature? Express your answer numerically using one significant figure.

Explanation / Answer

T1 = 545 K

T2 = 565 K

R = 8.314 J/mol.K

Ea = 155 kJ/mol = 155000 J/mol


f = exp(-Ea/RT)

f(565)/f(545) = exp(-Ea/RT2)/exp(-Ea/RT1)

= exp(-155000/(8.314 x 565))/exp(-155000/(8.314 x 545))

= 3.36

= 3 (one significant figure)

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