t is the primary difference between the steady-state approximation approximation
ID: 587408 • Letter: T
Question
t is the primary difference between the steady-state approximation approximation for the reaction below? (in general) and the fast-equilibrum k1 k-1 Hints ue Hint 1 The fast-equilibrium approximation is a specific case of the steady state approximation core The steady-state approximation assumes that Kiss k-1, where the fast-equilibrium approximation ems assumes than k s >k The steady-state approximation assumes that k k-1, where the fast-equibrium approximation assumes than k Inte . The steady-state approximation assumes that k2 sk-i, where the fast-equilibrium approximation Rat assumes than kk n The steady-state approxrmation assumes that k 1 o K-1, where the fast-equilibrum approximaton s Intrc assumes than ki cc k-Explanation / Answer
According to the steady state approximation article, reactions involving many steps can be analyzed using approximations. Like the steady state method, the pre-equilibrium approximation method derives an expression for the rate of product formation with approximated concentrations. Unlike the steady state method, the pre-equilibrium approximation does so by assuming that the reactants and intermediate are in equilibrium. Although both methods are used to solve for a rate of reaction, they are used under different conditions. The steady state method can only be used if the first step of a reaction is much slower than the second step, whereas the pre-equilibrium approximation requires the first step to be faster. These opposing conditions prevent the two methods from being interchangeable.
Both the steady state approximation and pre-equilibrium approximation apply to intermediate-forming consecutive reactions, in which the product of the first step of the reaction serves as the reactant for the second step.
There are three rate constants in the consecutive reaction involving an intermediate. These three rate constants, k1, k-1, and k2, are incredibly important for the pre-equilibrium approximation, as discussed in the next section.
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