Please provide complete correct and detailed mathematical solution. This is all

Question

Please provide complete correct and detailed mathematical solution. This is all the information provided. Thank you.

The oxidation of propene (P) to acrolein (A) was carried out over a Mo-Pr-Bi catalyst: It has been proposed that this mechanism can be correlated to a power law of the form: The reaction was carried out in a differential reactor with 0.5 g of catalyst at 623 K. From the data below determine the reaction orders with respect to propene and acrolein ( alpha and beta ), as well as the rate constant at this temperature.

Explanation / Answer

we need to determine the values of alpha and beta

let alpha =x and beta=y.so,

rate=Fa (since it is the rate).so,

there are three unknows, k, x and y.Hence,

rate=k*(Pp)^x*(Po2)^y

for the case 1:

0.21=k*0.1^x*0.1^y

for the case 2,

0.48=k*0.2^x*0.2^y

for the third case,

0.39=k*0.3^x*0.01^y

solving, we get

x=alpha=0.987

y=beta=0.203

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