Problem: A certain first-order reaction has a rate constant of 2.75 x 10-2 s-1 at 25°C. What is the value of K at 90.0 °C if Ea = 275 kJ/mol?a. 1.16x107 s-1b. 2.71x1010 s-1c. 2.43x1011 s-1d. 9.11x1010 s-1e. 2.31x109 s-1

FREE Expert Solution

We’re being asked to determine the rate constant at 25°C of the reaction when k = 8.54 x 10-4 s -1 at 45°C with a EA = 90.8 kJ


This means we need to use the two-point form of the Arrhenius Equation:


lnk2k1 = -EaR1T2-1T1


where:

k1 = rate constant at T1 

k2 = rate constant at T

Ea = activation energy (in J/mol) 

R = gas constant (8.314 J/mol•K) 

T1 and T2 = temperature (in K).

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Problem Details

A certain first-order reaction has a rate constant of 2.75 x 10-2 s-1 at 25°C. What is the value of K at 90.0 °C if Ea = 275 kJ/mol?

a. 1.16x10s-1

b. 2.71x1010 s-1

c. 2.43x1011 s-1

d. 9.11x1010 s-1

e. 2.31x10s-1

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