Calculating a reverse reaction

In summary, the conversation is about calculating the activation energy for the reverse reaction of a reaction with an overall enthalpy change of -66KJ and an activation energy of 7KJ. The formula for calculating Ea (rev) is ∆E + Ea (fwd), which leads to an answer of 59KJ. However, the corrected exercise shows an answer of 73KJ, which is due to the fact that the reverse reaction is endothermic and thus the activation energy should be greater than the forward reaction. The conversation also includes a suggestion to draw an energy diagram to better understand the concept and a reminder to change the sign when calculating the activation energy for the reverse reaction.
  • #1
future_vet
169
0
Hello everyone,

Here's my question.
We have a reaction with an overal enthalpy change of -66KJ. The activation energy is 7KJ.
We want the Ea for the reverse reaction.

Formula:
Ea (rev) = ∆E + Ea (fwd)
So I wrote:
Ea (rev) = -66 + 7 = 59 KJ.

But the corrected exercise says: 66+7 = 73KJ.
Why did we add 66, if it's a negative value?

Thank you,

J.
 
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  • #2
Now try to see all of this practically...the reaction itself is exothermic, the activation energy for the reverse reaction thus is greater then the forward assuming a single "transition state." Draw a free energy diagram, it should help greatly in understanding what's going on here.
 
  • #3
So since the reverse reaction is ENDOthermic, then the Ea should be greater than in the reaction that was exothermic... Would this be the correct way to think?

~J.
 
  • #4
vet: Do you know how to draw the energy diagram? It takes just a couple of minutes to learn it, and once you do, problems like this become a piece of cake.

Exothermic reaction, http://www.bbc.co.uk/scotland/education/bitesize/higher/img/chemistry/calculations_1/pe_diags/fig10.gif - the positive x-direction is the direction of the forward reaction.
 
Last edited by a moderator:
  • #5
I do, and I understand why the answer is 73, but I was just puzzled by the equation, since it seemed to lead to the wrong answer...

Joanna.
 
  • #6
Ea (rev) = ∆Erev + Ea (fwd)

Remember to change the sign --- the reaction is proceeding in the reverse direction, and the sign of the energy change for the reaction is opposite that for the forward.
 

1. What is a reverse reaction?

A reverse reaction is a chemical reaction that occurs in the opposite direction of the forward reaction, meaning that the products of the forward reaction become the reactants and the reactants become the products.

2. How do you calculate the rate of a reverse reaction?

The rate of a reverse reaction can be calculated by taking the inverse of the rate of the forward reaction. This means dividing the rate of the forward reaction by the equilibrium constant, which is a measure of how much of the reactants and products are present at equilibrium.

3. What is the equilibrium constant for a reverse reaction?

The equilibrium constant for a reverse reaction is the reciprocal of the equilibrium constant for the forward reaction. This is because the equilibrium constant is based on the ratio of products to reactants at equilibrium, and in a reverse reaction, the products and reactants are switched.

4. How does the reverse reaction affect the equilibrium of a system?

The reverse reaction, like the forward reaction, will continue until it reaches equilibrium. At equilibrium, the rates of the forward and reverse reactions are equal, and the concentrations of the reactants and products remain constant. The reverse reaction can either shift the equilibrium towards the reactants or the products, depending on the relative rates of the forward and reverse reactions.

5. Can a reverse reaction be spontaneous?

Yes, a reverse reaction can be spontaneous if the products have a lower free energy than the reactants. This means that the reverse reaction will occur without an external energy input. However, the reverse reaction may still be slower than the forward reaction, leading to an overall net forward reaction.

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