It has been proposed to correlate the data using the power law model for the rat

Question

It has been proposed to correlate the data using the power law model for the rate law [cf. Equation (5-2)].

where

FA=exiting molar flow rate of acrolein, mmol/h
PP= entering partial pressure of propene, atm
PO2= entering partial pressure of oxygen, atm

P3. (10 pts) The oxidation of propene (P) to acrolein was carried out over a Mo-Pr-Bi catalyst: CH,CH-CH2 +O2 ->CH2-CHCHO+ H2O It has been proposed to correlate the data using the power law model for the rate law: P The reaction was carried out in a differential reactor with 0.5 g of catalyst at 623 K. The feed was a mixture of P and O2. From the data below, determine the reaction orders with respect to propene and oxygen and the specific reaction rate, k. Facrolein (mmol/hr) 0.21 0.48 0.09 0.39 0.6 0.14 1.44 Pp (atm Poz (atm) 0.5 0.5 0.4 0.05 0.1 0.1 0.2 0.05 0.3 0.2 0.05 0.01 0.02 0.4

Explanation / Answer

Reaction rate=f(acrolein)/weight of catalyst=k*PpaP02b

At f(acrolein) = .21 Pp=.1, Po2=.1

=>.21/.5=k*(.1)^a*(.1)^b -(1)

At f(acrolein) = .48 Pp=.2, Po2=.2

=>.48/.5=k*(.2)^a*(.2)^b -(2)

At f(acrolein) = .39 Pp=.3, Po2=.01

=>.39/.5=k*(.3)^a*(.01)^b -(3)

(1)/(2)=>.21/.48=(.1/.2)^(a+b)

=>a+b=1.2

(1)/(3)=>.21/.39=(.1/.3)^a*(.1/.01)^b

=>.21/.39=(.1/.3)^a*(.1/.01)^(1.2-a)

=>a=1

=>b=.2

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