(a) sketch a typical eutectic phase diagram with components a and b having similar melting points. b is much more soluble in a (maximum = 15%) than a is in b (maximum = 5%), and the eutectic composition occurs near 40% b. the eutectic temperature is 2/3 of the melting point. label the axes of the diagram. label all the phases. use a and b to denote the solid phases (b) for an overall composition of 60% b, list the sequence of phases found as the liquid is slowly cooled to room temperature.

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2