An endothermic reaction A to B has an activation energy 15 kcal/mole a...
Activation Energy of Reaction B to A
Introduction
In this problem, we are given the activation energy and heat of reaction for a reaction from A to B and are asked to find the activation energy for the reverse reaction from B to A.
Explanation
For an endothermic reaction, the heat of reaction is positive, and energy is absorbed from the surroundings. The activation energy is the minimum amount of energy required for the reactant molecules to overcome the energy barrier and form the products.
According to the principle of microscopic reversibility, the activation energy for the reverse reaction is equal to the activation energy for the forward reaction. Therefore, the activation energy for the reaction B to A is also 15 kcal/mole.
The heat of reaction for the reverse reaction can be calculated using Hess's law, which states that the change in enthalpy for a reaction is the same regardless of the route taken from reactants to products. The heat of reaction for B to A is equal in magnitude but opposite in sign to that of A to B, which is -5 kcal/mole. Therefore, the heat of reaction for B to A is +5 kcal/mole.
Conclusion
In summary, the activation energy for the reaction B to A is 15 kcal/mole, and the heat of reaction is +5 kcal/mole.