Consider an arcjet thruster and answer the following questions: A. What arc chamber temperature is needed to produce a 1,500 s specific impulse with frozen flow hydrogen if the transverse temperature profile is uniform inside the thruster chamber and the chamber pressure is 1 atm? B. Now consider the parabolic temperature profile inside the arc chamber and the limiting wall temperature is 2,500 K. Estimate the temperature needed on the chamber axis to achieve the same exhaust speed by equating the average temperature across the arc chamber area to that found in part A