Solution: At 28 oC, raw milk sours in 4 h but takes 50 h to sour in a refrigerator at 5 oC.Estimate the activation energy in kJ/mol for the reaction that leads to the souring of milk.

Problem

At 28 oC, raw milk sours in 4 h but takes 50 h to sour in a refrigerator at 5 oC.

Estimate the activation energy in kJ/mol for the reaction that leads to the souring of milk.

Solution

We are asked to calculate for the activation energy of a chemical reaction given with two temperatures and two reaction times. 

The equation that connects two given temperatures and two reaction times with the activation energy is the two-point form of the Arrhenius equation:

 ln k2k1= -EaR1T2-1T1

where: k1 is the rate of first reaction

            k2 is the rate of second reaction

            Ea is the activation energy

           R is the gas constant

          T1 is the temperature for the first reaction

          T2 is the temperature of the second reaction


Solution BlurView Complete Written Solution