# Problem: Food rots about 40 times more rapidly at 25 °C than when it is stored at 4 °C. Determine the overall activation energy for the processes responsible for its decomposition.a. 83.7 kJ/molb. 34.3 kJ/molc. 97.1 kJ/mold. 187 kJ/mole. 121 kJ/mol

###### FREE Expert Solution

We’re being asked to determine the activation energy of the rotting of food with a rate of 40 times (at 25°C) faster than 4°C.

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

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).

96% (438 ratings) ###### Problem Details

Food rots about 40 times more rapidly at 25 °C than when it is stored at 4 °C. Determine the overall activation energy for the processes responsible for its decomposition.

a. 83.7 kJ/mol

b. 34.3 kJ/mol

c. 97.1 kJ/mol

d. 187 kJ/mol

e. 121 kJ/mol

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Arrhenius Equation concept. You can view video lessons to learn Arrhenius Equation. Or if you need more Arrhenius Equation practice, you can also practice Arrhenius Equation practice problems.

What is the difficulty of this problem?

Our tutors rated the difficulty ofFood rots about 40 times more rapidly at 25 °C than when it ...as medium difficulty.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Guloy's class at UH.