Question

this is matlab..

2. Saponification batch reactor. In a saponification reaction that takes place in a batch reactor, ester propargyl acetate (A) reacts with a base (B), which can be monitored using a conductivity meter. The conductivity, X(t) can be related to the fraction of base converted to a product, where: Fraction converted = CBt/CBo = [X(t) - X(0) [X(0) - X(0)] The table below shows the changing conductivity when 0.2873 M ester is reacted with 0.00673 M base. Find the kinetic rate expression (equation, reaction order, and rate constant) given the data below. Time (min) 0 0.200 0.417 0.737 1.047 1.397 1.787 2.187 2.637 3.147 3.667 X(t) 1.087 1.042 1.000 0.952 0.909 0.870 0.833 0.800 0.769 0.741 0.714 0.490 Please show me step by step with clear hand writing. Thank you.

updated, this is not matlab.

Answer 1

The graph of 1/X(t) versus time can be drawn as follows.

()XIL 0.0 0.5 1.0 1.5 2.5 3.0 3.5 TO 2.0 time (min)

Equation of the line: 1/X(t) = 0.13078*t + 0.94801

Where 't' is the time of reaction.

The reaction order is 2.

Compare the above equation with the second-order rate law, i.e. 1/X(t) = kt + 1/X(0)

Then, you will get the rate constant (k) = 0.13078 M^-1.min^-1