An arcjet heats hydrogen at 50 atm pressure from 300 K to 6000 K. At the latter temperatur...

An arcjet heats hydrogen at 50 atm pressure from 300 K to 6000 K. At the latter temperature the reaction H2 → 2H is described by the equilibrium constant Kp, defined by

and approximately evaluated by

Over the temperature interval the average specific heats are

The heat of formation of H is +217 kJ/gmol at 300 K. If no recombination takes place in the nozzle, what fraction of the total energy addition to the fluid is “lost” because of dissociation?