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The data below show the rate constant of a reaction measured at several differen

ID: 799695 • Letter: T

Question

The data below show the rate constant of a reaction measured at several different temperatures.

Use an Arrhenius plot to determine the activation barrier for the reaction???   Ea     __________ Kj/mol

Use an Arrhenius plot to determine the frequency factor for the reaction???  A=______________s-1

Temperature (K) Rate Constant (1/s) 310 2.70 The data below show the rate constant of a reaction measured at several different temperatures. Use an Arrhenius plot to determine the activation barrier for the reaction??? Use an Arrhenius plot to determine the frequency factor for the reaction???

Explanation / Answer

Rate constant k= k? e^(-?Ea/(RT)) -> ln(k) = ln (k?)-?Ea/(RT)
This function is a straight line y=a+b x with y= ln(k), a= ln(k?), b= -?Ea/R and x=1/T.
Linear regression results in a= 32.011, b= -10719.724 K . The coefficient of regression r=-0.99 that means we have a perfect fit.

Therefore k?= e^a= 7.89*10^13 1/s ( 2 sigfigs: 8.0*10^13 1/s) and b=-?Ea/R (R= 8.314 J/(mol K) )-> Activation energy ?Ea= 1289.36 J/mol ( 3 sigfigs: 1.29* 10^3 J/mol).

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