1 `dm^3` of 2 M `CH_3COOH` is mixed with 1 `dm^3` of 3 M ethanol to form ester. The decrease in the initial rate if each solution is diluted with an equal volume of water would be

Options

A. 2 times
B. 4 times
C. 0.25 times
D. 0.5 times

Answer

C

Explanation

Rate `(r_1)=k[CH_3COOH][CH_3CH_2OH]`
Concentration becomes half on diluting with equal volume of water.
rate `(r_2)=k[1/2CH_3COOH][1/2CH_3CH_2OH]`
`=1/4k[CH_3COOH][CH_3CH_2OH]=1/4r_1=0.25r_1`