If, in Example 4, one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant B, and the initial concentrations of A and B have a common value A B a moles L, then C a 2 kt (akt 1) where k is a constant (a) Find the rate of reaction at time t (b) Show that if x C , then dx dt k(a x) 2 (c) What happens to the concentration as t (d) What happens to the rate of reaction as t (e) What do the results of parts (c) and (d) mean in practical terms

Question: If, in Example 4, one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant

If, in Example 4, one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant B, and the initial concentrations of A and B have a common value [A] = [B] = a moles/L, then [C] = a²kt/(akt + 1) where k is a constant.
(a) Find the rate of reaction at time t.
(b) Show that if x = [C], then dx/dt = k(a - x)²
(c) What happens to the concentration as t →∞?
(d) What happens to the rate of reaction as t →∞?
(e) What do the results of parts (c) and (d) mean in practical terms?

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