Methyl acetate was subjected to hydrolyiss in `N-HCl` at `298 K`. `5mL` of the mixture is withdraw at different intervals and titrated with constant with about `N//8NaOH`. The following results were obtained:
`|{:("Time (min)",0,25,40,61,oo),("Vol of alkali used (mL)",19.24,24.20,26.60,29.50,42.1):}|`
Show that the reaction is of first order.

1 mL of methyl acetate was added to a flash containing 20 mL of N/20 HCl maintained at 25@C . 2mL of the reaction mixture were withdrawn at different intervals and titrate with a standard alkali solution. The following results were obtained : {:("Time (min)",0,75,119,183,oo),("Alkali used (mL)",19.24,24.20,26.60,29.32,42.03):} show that the reaction follows first order kinetics

Cane sugar is gradualaly converted into dextrose and laevuloe by dilute acid. The rate of inversion is observed by measuring the polarisation angle, at various times, when the following results are obtained: {:("Time (min)",0,10,20,30,40,100,oo),("Angle",32.4,28.8,25.5,22.4,19.6,-6.1,-14.1):} Show that the reaction is of first order. Calculate the value of t, when the solution is optically inactive.

The catalytic decomposition of H_(2)O was studied by titrating it at different intervals with KMnO_(4) and the following data were obtained : {:("t (second)",0,600,1200),("V of KMmO"_(4)(mL)",22.8,13.8,8.3):} Calculate the velocity constant for the reaction assuming it to be a first order reaction.

In the dehydration of oxalic acid by conc H_(2)SO_(4) (COOH)_(2) rarr CO + CO_(2) + H_(2)O 2 mL of the solution was withdraw at different times and titrated against 0.1 N K MnO_(4) solution. Show that the reaction is of first order. |{:("Time (mins)",0,300,450,600),("Vol of" KMnO_(4) "used (mL)",22.0,17.0,15.0,13.4):}| Note: This is an example of indirect estimation of reactant, i.e., titrating of oxalic acid by KMnO_(4) .

In an experiment on the decompoistion of an aqueous NH_(4)NO_(2) at a certain temperature, the volume of nitrogen gas collected at different intervals of time was as follows: |{:("Time (s)",1190,2300,oo),("Vol of" N_(2) (mL),5.00,7.30,9.50):}| Show how the above data illustrate that the reaction is of first order. Note: This is an example of direct-estimation of Product, i.e., N_(2) .