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Grade 12th passPhysical Chemistry

The reaction
NO2Cl (g)+NO(g)---->NO2(g)+NOCl(g) is a single step reversible reaction .The energy if activation for forward reaction ,E a,f is 28.9 kj and that for backward reaction ,E a,b is 41.8 kj .Draw an energy diagram for the reaction. Indicate E a,f ,Ea,b and ∆H on the diagram .

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5 Years agoGrade 12th pass
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ApprovedApproved Tutor Answer1 Year ago

To visualize the energy changes during the reaction between nitrogen dioxide chloride (NO2Cl) and nitrogen monoxide (NO), we can create an energy diagram. This diagram will help us understand the activation energies for both the forward and backward reactions, as well as the overall change in enthalpy (∆H) for the process. Let's break this down step by step.

Understanding the Energy Diagram

An energy diagram typically plots the potential energy of the reactants and products against the progress of the reaction. In this case, we have a reversible reaction:

  • Reactants: NO2Cl (g) + NO (g)
  • Products: NO2 (g) + NOCl (g)

Key Components of the Diagram

In our energy diagram, we will include the following elements:

  • E a,f: Activation energy for the forward reaction (28.9 kJ)
  • E a,b: Activation energy for the backward reaction (41.8 kJ)
  • ∆H: Change in enthalpy of the reaction

Steps to Draw the Diagram

1. **Start with the Reactants**: Begin by plotting the energy level of the reactants (NO2Cl and NO). This will be your starting point on the left side of the diagram.

2. **Add the Transition State**: The transition state is the peak of the energy curve, where the energy is at its highest. To find this point, add the activation energy for the forward reaction (E a,f = 28.9 kJ) to the energy level of the reactants.

3. **Plot the Products**: From the transition state, draw a line down to the energy level of the products (NO2 and NOCl). The difference in energy between the reactants and products will give you the change in enthalpy (∆H).

4. **Include the Backward Reaction**: To represent the backward reaction, you will need to indicate the activation energy for the backward reaction (E a,b = 41.8 kJ). This means that from the products, you will again rise to the transition state, which is the same point as before, and then drop back down to the reactants.

Visual Representation

While I can't draw the diagram here, I can describe how it would look:

  • On the left, label the energy level of the reactants.
  • Draw a peak for the transition state, indicating E a,f as the height from the reactants to the peak.
  • From the peak, draw a line down to the energy level of the products.
  • Label the energy difference between the reactants and products as ∆H.
  • For the backward reaction, from the products, rise to the same peak (indicating E a,b) and then drop back down to the reactants.

Calculating ∆H

To find the change in enthalpy (∆H), you can use the following formula:

∆H = Energy of products - Energy of reactants

Since we don't have specific energy values for the reactants and products, we can infer that if the activation energy for the backward reaction is higher than that for the forward reaction, the products are at a lower energy level than the reactants, indicating an exothermic reaction. Thus, ∆H will be negative.

Summary of Key Points

In summary, the energy diagram for the reaction NO2Cl (g) + NO (g) ⇌ NO2 (g) + NOCl (g) will illustrate the activation energies for both the forward and backward reactions, as well as the overall change in enthalpy. This visual representation is crucial for understanding the energy dynamics of the reaction and how they influence the reaction rates and equilibrium position.