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Problem PageQuestionConsider the following elementary reaction:2NO2(g) →NO3(g) +NO(g)Suppose we let k1 stand for the rate constant of this reaction, and k−1 stand for the rate constant of the reverse reaction.Write an expression that gives the equilibrium concentration of NO3 in terms of k1, k−1, and the equilibrium concentrations of NO2 and NO.

Question

Problem PageQuestionConsider the following elementary reaction:2NO2(g) →NO3(g) +NO(g)Suppose we let k1 stand for the rate constant of this reaction, and k−1 stand for the rate constant of the reverse reaction.Write an expression that gives the equilibrium concentration of NO3 in terms of k1, k−1, and the equilibrium concentrations of NO2 and NO.

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Solution

The equilibrium constant (K) for a reaction is given by the ratio of the rate constants for the forward and reverse reactions. In this case, K = k1/k−1.

At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction. Therefore, we can write the following expressions for the rates of the forward and reverse reactions:

Rate of forward reaction = k1 * [NO2]^2 Rate of reverse reaction = k−1 * [NO3] * [NO]

Setting these equal to each other gives:

k1 * [NO2]^2 = k−1 * [NO3] * [NO]

We can rearrange this to solve for [NO3]:

[NO3] = (k1/k−1) * [NO2]^2 / [NO]

But since K = k1/k−1, we can substitute K into the equation to get:

[NO3] = K * [NO2]^2 / [NO]

This is the expression for the equilibrium concentration of NO3 in terms of K, [NO2], and [NO].

This problem has been solved

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