# Problem: A reaction with an activation energy of 75 kJ/mol takes 3 hours to reach completion when run at 25°C. At what temperature should this reaction be run in order to drop that time down to only 30 minutes? A. 77◦CB. 150◦CC. 52◦CD. 37◦CE. 44◦C

###### FREE Expert Solution

We’re being asked to determine the temperature the reaction be run in order to drop that time down to only 30 minutes.

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

where k1 = rate constant at T1
k2 = rate constant at T2
Ea = activation energy (in J/mol)
R = gas constant (8.314 J/mol•K)
T1 and T2 = temperature (in K)

We're going to calculate for the temperature using the following steps:

Step 1: Estimate the rate constants (k1 and k2).
Step 2: Calculate the temperature.

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###### Problem Details

A reaction with an activation energy of 75 kJ/mol takes 3 hours to reach completion when run at 25°C. At what temperature should this reaction be run in order to drop that time down to only 30 minutes?

A. 77C

B. 150C

C. 52C

D. 37C

E. 44C