Consider a non-adiabatic nozzle which has uniform heat addition along its length such that the stagnation enthalpy increases with x at the rate of q kJ/kg-m. The process in the nozzle can be taken to follow pvk = constant. The nozzle is designed to produce a pressure profile given by p/po = (1-?x/po), where the subscript o stands for inlet conditions (at x=0). Take the working fluid to be an ideal gas with gas constant R. Derive an expression for the area profile A(x) of the nozzle.