
Sheridan K.
asked 02/15/24Consider the reaction data(keep three sig figs)
Table:
T(K) K(s^-1)
225 0.381
875 0.857
What two points should be plotted to graphically determine the activation energy of this reaction?
x1= y1=
x2= y2=
Determine the rise, run, and slope of the line formed by these points
What is the activation energy of this reaction?
1 Expert Answer
Patrick M. answered 06/10/24
Biochemistry & Chemistry, Former graduate student, researcher, & TA
Table:
T(K) K(s^-1)
225 0.381
875 0.857
An Arrhenius Plot graphs ln k (y-axis) versus 1/Temperature (x-axis). The resultant slope is equal to negative activation energy, -Ea, divided by the gas constant R (8.31 J/K*mol) (slope = -Ea/R)
What two points should be plotted to graphically determine the activation energy of this reaction?
x1= 1/255 y1= ln(0.381)
x2= 1/875 y2= ln(0.857)
Rise = y2 - y1 = ln(0.857) - ln(0.381) = 0.811 (unitless)
Run = x2 - x1 = (1/875) - (1/255) = -0.00278 (1/K)
Slope = Rise/Run = 0.811 / -0.00278 (1/K) = -292 K
Ea = -Slope * R
Ea = - (-292 K * 8.31 J/K*mol)
Ea = 2430 J/mol
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Cindy L.
You could use Arrhenius equation to solve this question. lnk=lnA−Ea/RT y1=k1 = ln(0.381) ; y2=k2=ln(0.857); x1=T1=225; x2=T2=875; Gas constant, R, is 8.31 J K-1 mol-1. Then, you have Ea.06/03/24