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Question

Chemistry Question on Chemical Kinetics

1 L of 2 M CH3COOH is mixed with 1 L of 3M C2H5OH to form an ester. The rate of the reaction with respect to the initial rate when each solution is diluted with an equal volume of water will be

A

0.5 times

B

4 times

C

0.25 times

D

2 times

Answer

4 times

Explanation

Solution

Esterification is a second order reaction
CH3COOH+C2H5OHCH3COOC2H5+H2OCH_{3}COOH+C_{2}H_{5}OH \to CH_{3}COOC_{2}H_{5}+H_{2}O
r=k[CH3COOH][C2H5OH]r=k\left[CH_{3}COOH\right]\left[C_{2}H_{5}OH\right]
Order=2Order = 2
When equal volume of two solutions are mixed, concentration of the solutions reduces to half the initial value. Hence, rate of reaction gets reduced to 14\frac{1}{4} initial rate.