For the reaction C2H4 + HCl = C2H5Cl (over a zirconium oxide-silica gel catalyst

Question

For the reaction C2H4 + HCl = C2H5Cl (over a zirconium oxide-silica gel catalyst in presence of methane):

If the equilibrium constant for the reaction is 35 at reaction conditions, find a reaction rate expression that describes the following data:

r x 104 (mol/h/(lb cat)) 2.66 2.61 2.41 2.54 2.64 2.15 2.04 2.36 2.38 2.80 Partial pressure (atm) C2H4 0.300 0.416 0.343 0.511 0.420 0.350 0.375 0.400 0.470 0.500 CH4 CHsCl 0.149 0.102 0.181 0.334 0.175 0.150 0.163 0.208 0.256 0.272 HCI 7.005 7.090 7.001 9.889 10.169 8.001 9.210 7.850 10.010 8.503 0.370 0.215 0.289 0.489 0.460 0.250 0.275 0.300 0.400 0.425

Explanation / Answer

The reaction rate expression may be given as

r=k*PaC2H4*PbHCl

where P denotes the partial pressures of the respective reactants.

Now, k=35 (Given)

By means of regression analysis, we obtain

a= , b=

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