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1. A certain reaction has an activation energy of 54.0 kJ/mol. As the temperatur

ID: 851755 • Letter: 1

Question

1. A certain reaction has an activation energy of 54.0 kJ/mol. As the temperature is increased fromm 22 degree C to a higher temperature, the rate constant increases by a factor of 7.00. Calculate the higher temperature. (SHOW WORK!)

2. Draw the energy profile for an exothermic reaction. Label on the diagram the reactants and products, the activation energy for the forward reaction, and label the energy change for the reaction. Be sure to label the axes. Repeat the process for an endothermic reaction.

Exothermic                                                                                               Endothermic

Explanation / Answer

We Know that:

According to Arrhenius equation:

log(K2/K1) = Ea/ 2.303 R ( 1/T1- 1/T2)

The given data:

K1 = K

K2 = 7K

Ea = 54 kJ/mol

T1 = 220C = 298 K

T2 = ? K

Substituting the values in the above Arrhenius equation we get:

log 7K / K = 54 kJ/mol / 2.303 x 8.314x 10-3 kJ /mol-K ( 1/ 298 - 1/T2)

1/T2 = 0.0030

T2 = 327.22 K