Multiple choice

$100\ {cm}^{3}$ of $1M$ ${ CH }{ 3 }COOH$ was mixed with $100\ {cm}^{3}$ of $2M$ ${CH}{3}OH$ to form an ester. The change in the initial rate if each solution is diluted with equal volume of water would be:

  1. $2$ times
  2. $4$ times
  3. $0.5$ times
  4. $0.25$ times
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The rate of esterification is proportional to the product of the concentrations of the carboxylic acid and the alcohol, Rate = k[CH3COOH][CH3OH]. Diluting each solution with an equal volume of water doubles the total volume, thereby halving the concentration of both reactants. Consequently, the new rate is (1/2) * (1/2) = 1/4 = 0.25 times the initial rate.

AI explanation

The rate of this esterification reaction depends on the product of the molar concentrations of the reactants. Diluting both solutions with an equal volume of water halves the concentration of each reactant, changing the rate to one half times one half of the original. This makes the new initial rate 0.25 times the original rate.