(Solved): Normal heptane is dehydrocyclicized to toluene and hydrogen in a continuous vapor-phase reaction: ...

Normal heptane is dehydrocyclicized to toluene and hydrogen in a continuous vapor-phase reaction: \( \mathrm{C}_{7} \mathrm{H}_{16} \rightarrow \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{3}+4 \mathrm{H}_{2} \) Pure heptane at \( 400{ }^{\circ} \mathrm{C} \) is fed to the reactor. The reactor operates isothermally at \( 400{ }^{\circ} \mathrm{C} \) and the reaction goes to completion. The average heat capacity of \( \mathrm{n} \)-heptane between 25 \( { }^{\circ} \mathrm{C} \) and \( 400^{\circ} \mathrm{C} \) is \( 0.2427 \mathrm{~kJ} /\left(\mathrm{mol}^{\circ} \mathrm{C}\right) \). (a) Taking a basis of \( 1 \mathrm{~mol} \) of heptane fed, draw and label a flowchart. (b) Taking elemental species \( \mathrm{C}(\mathrm{s}), \mathrm{H}_{2}(\mathrm{~g}) \) at \( 25^{\circ} \mathrm{C} \) as references, prepare and fill in an inletoutlet enthalpy table. (c) Calculate the required heat transfer to or from the reactor in \( \mathrm{kJ} \). (d) What is the heat of the heptante dehydrocyclization reaction \( \left(\Delta H_{r}\right) \) at \( 400{ }^{\circ} \mathrm{C} \) and 1 atm?