Normal butane is to be isomerised to isobutane in a PFR. For this example, the reaction is elementary and not reversible

[answerhappygod]

Normal butane is to be isomerised to isobutane in a PFR. For
this example, the reaction is elementary and not reversible (ie
neglect equilibrium). The “new” specific reaction rate constant of
10 h-1 was re-measured at 380 K after a students data was found to
be erroneous. The feed for this reactor will enter at 330 K and
will use an existing reactor of 6m3. It will process 200kmol/hr of
a mixture of 40% butane and 60% N2.
Plot the conversion X and reactor Temperature along the reactor
using an assumed constant ambient temperature Ta of 25C and a
overall heat transfer constant Ua of 2 kJ/h.K
Additional information: Hrxn = -9000 J/mol butane (ie.
Exothermic), Activation energy 50 kJ/mol Concentration butane0 =15
kmol/m3 CPbutane = 141 J/mol.K, CPi-butane = 151 J/mol.K, CP N2 =
29.14 J/mol.K