( 100 ~cm ³ ) of ( 1 M CH ₃ COOH ) was mixed with ( 100 ~cm ³ ) of ( 2 MCH ₃ OH ) to form an ester. The change in the initial rate if each solution is diluted with equal volume of water would be

Step-by-step solution

For the esterification reaction [ array l CH ₃ COOH + CH ₃ OH CH ₃ COOCH ₃+ H ₂ O _ 1 M r₁=k [ CH ₃ COOH ] [ CH ₃ OH ] =k[1][2] r₁=2 k (1) array ] when solution is diluted with equal volume of water, concentration is reduced to half [ array l r₂=k [ 1 2 ] [ 2 2 ] r₂= k 2 (2) array ] Divide Eq. (1) by Eq. (2), we get [ array l r₁ r₂ = 2 k k 2 =4 r₂= r₁ 4 =0.25 r₁ array ] Therefore, the rate of the reaction will reduce to ( 0.25 ) times of the initial rate.