$11\mathrm{.}10$ In itial Rate Method of Data Analysis

$11\mathrm{.}10\mathrm{.}1$ Concepts Denonstrated

Determination of the orders of a reaction and the reaction rate conatant using

initial reaction rate data from a batch reactor.

$11\mathrm{.}10\mathrm{.}2$ N une rical Methods U tilize d

Nonlinear regression of data to obtain model parameters.

$11\mathrm{.}10\mathrm{.}3$ Problen Statenent

The initial rate data, given in Table $11-9$ as $(-d\frac{P_A}{d}t),$ have been determined

for the gas phase reaction $A+2BC.$ It can be assumed that the rate expres$-$

sion is of the form

${?}^{-r_A}=k(P_A{)}^{}(P_B{)}^{}$

where $k$ is the reaction rate coefficient, $$ is the reaction order with respect to $A,$

and $$ is the reaction order with respect to $B.$

$($a$)$ Use nonline ar regression to find the numerical values for $,,$ and $k.$

$($b$)$ Set the orders of reaction to integer or simple fractional values on the

basis of part $($a$)$ and then determine the corresponding value of $k$ and

the corresponding $95\%$ confidence intervals.

Table $11-9$ Initial Reaction Rave versus Initial Pressure Data $($Fie P$11-10.$ POL$)$

The POLYMATH problem data file is found in directory Chapter $11$ with

file named P$11-10.$POL.