Chemical Kinetics and Nuclear ChemistryHard

Question

Acid catalysed hydrolysis of ester is first-order reaction and rate constant is given by
     k =
where V0, Vt and V are the volume of standard NaOH required to neutralise acid present at a given time ; if ester is 50% hydrolysed then :

Options

A.V = vt
B.V = (Vt - V0)
C.V = 2Vt - V0
D.V = 2Vt + V0

Solution

If easter 50% hydrolysed then
x =
(a0 - x) =
We can write
a0 ∞ (V - V0)
(a0 - x) ∞ (V - Vt)
= (V - Vt)
V - V0 = 2V - 2Vt
Vt =
or       V = 2 Vt - V0

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