Kinetics of hydrolysis of ethyl acetate catalysed by an acid is followed by titrating a fixed volume of reaction mixture with a standard alkali solution at different intervals of time. The ester hydrolysis is acid catalysed. The V 0 , V t and V ∞ are volume of alkali required at t = 0, t = t and t = ∞ , then match the following as per the given fact.
Column-I | Column-II(Slope) |
(i) V0 is proportional to acid initially present and at time t | [A] Total concentrations of concentration of acid formed |
(ii) Vt is proportional to initially | [B] Concentration of acid present as catalyst |
(iii) (V∞ – Vt) is proportional to | [C] Concentration of acid formed after the completion of reaction |
(iv) (V∞ – V0) is proportional to | [D] Concentration of ester remaining at time t |
Text Solution
Verified by Experts(i) [B]; (ii)[A]; (iii) [C]; (iv) [D]
(i) [B]
(ii)[A]
(iii) [C]
(iv) [D]
Sol.
(i) CH 3 COOC 2 H 5 + H 2 O 
CH 3 COOH + C 2 H 5 OH
At t = 0 a 0
At t = t (a o – x) x x
At t = ∞ a 0 a 0
Let bo moles of acid present initially
∴ V 0 α b o V t α b 0 + x
or (V t – V 0 ) α x
V ∞ α a 0 + b 0 or (V ∞ –V 0 ) α a 0
or (V ∞ –V 0 ) α (a 0 – x)
(ii) CH 3 COOC 2 H 5 + H 2 O 
CH 3 COOH + C 2 H 5 OH
At t = 0 a 0
At t = t (a o – x) x x
At t = ∞ a 0 a 0
Let bo moles of acid present initially
∴ V 0 α b o V t α b 0 + x
or (V t – V 0 ) α x
V ∞ α a 0 + b 0 or (V ∞ –V 0 ) α a 0
or (V ∞ –V 0 ) α (a 0 – x)
(iii) CH 3 COOC 2 H 5 + H 2 O 
CH 3 COOH + C 2 H 5 OH
At t = 0 a 0
At t = t (a o – x) x x
At t = ∞ a 0 a 0
Let bo moles of acid present initially
∴ V 0 α b o V t α b 0 + x
or (V t – V 0 ) α x
V ∞ α a 0 + b 0 or (V ∞ –V 0 ) α a 0
or (V ∞ –V 0 ) α (a 0 – x)
(iv) CH 3 COOC 2 H 5 + H 2 O 
CH 3 COOH + C 2 H 5 OH
At t = 0 a 0
At t = t (a o – x) x x
At t = ∞ a 0 a 0
Let bo moles of acid present initially
∴ V 0 α b o V t α b 0 + x
or (V t – V 0 ) α x
V ∞ α a 0 + b 0 or (V ∞ –V 0 ) α a 0
or (V ∞ –V 0 ) α (a 0 – x)
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