Question

# the rate constant for the reaction shown below is 2.6x10^-8 L/mol*s when the reaction proceeds at...

the rate constant for the reaction shown below is 2.6x10^-8 L/mol*s when the reaction proceeds at 300K. The Activation Energy is 98000J/mol. Determine the magnitude of the frequency factor for the reaction. If the temperature changed to 310K, there rate constant would change. The ration of K at 310 K is closest to what whole number?

As we know rhat

k= A e-Ea/RT where k= rate constant , A =  frequency factor , Ea =Activation Energy , R = gas constant , T =temperature at which reaction proceed

2.6x10-8 L/mol * s = A e-98000/ 8.314 * 300

A = 2.6x10-8 / e98000/ 2494.2

= 2.6x10-8 / e-39.29 = 2.6 * 10-8 / 8.64 10-18

= 0.3009 * 1010 L/mol * s

2) k2 = A e-Ea/RT

= 0.3009 * 1010 *   e-98000/ 8.314 * 310

= 0.3009 * 1010 * e-98000/ 2577.34

= 0.3009 * 1010 * e-38.023

= 0.3009 *  1010* 3.067 * 10-17

= 0.922 * 10-7 L/mol s

tempearture coefficient = kt+10 /kt = 0.922 * 10-7 / 2.6 * 10-8 = .0.35 = 3.5 = ()

The ration of K at 310 K is closest to 3 whole number .

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