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# The energy profile diagram for the reaction, $CO(g) + N{O_2}(g) \rightleftharpoons C{O_2}(g) + NO(g)$ is given in the figure, the activation energy of the backward reaction is:A. $x$B. $y$C. $x + y$D. $x - y$

Last updated date: 13th Jun 2024
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Hint:Molecules will only react to form a product when they are raised to a certain threshold energy, which is identified as the peak in an energy diagram. Thus, for the backward reaction, the portion of the graph which shows the energy of the final product to the peak will give us the activation energy of the backward reaction.

The initial energy of the reactant molecules is marked as the point $R$ in the figure. Thus, the initial energy of the reactant molecules, from the figure, is $y + z$.
They are then being raised to a higher energy state. The peak of the graph corresponds to the threshold energy value. The reaction occurs only when the reactants acquire this threshold energy value. The extra energy supplied to the reactants is therefore known as the activation energy for the forward reaction. As we can clearly see, this corresponds to the portion between points $R$ and $I$ in the graph. Hence, activation energy of forward reaction is $x$.
After the reaction, the products are formed at a lower energy level than the reactants, indicated by the point $P$. The difference in energies of the reactants and products is what $y$ denotes. For the backward reaction to happen, the energy of the products must be raised to the same threshold energy, since the threshold energy value is the same for forward and backward reactions. Thus, it should reach the peak from point $P$. Clearly, from the graph, this is denoted by $x + y$.
Hence, the activation energy of the backward reaction is $x + y$ and thus, the correct option to be marked is C.