Standard atmospheric air (left[T_{0}=288 mathrm{~K}, p_{0}=101 mathrm{kPa}(mathrm{abs}) ight]) is drawn steadily through an isentropic converging nozzle into

Standard atmospheric air \(\left[T_{0}=288 \mathrm{~K}, p_{0}=101 \mathrm{kPa}(\mathrm{abs})\right]\) is drawn steadily through an isentropic converging nozzle into a frictionless diabatic \((q=500 \mathrm{~kJ} / \mathrm{kg})\) constant area duct. For maximum flow, determine the values of static temperature, static pressure, stagnation temperature, stagnation pressure, and flow velocity at the inlet [section (1)] and exit [section (2)] of the constant area duct. Sketch a temperature-entropy diagram for this flow.