Alaboratory mixing chamber at purdue propulsion laboratories is to be designed to achieve an air flow at the outlet of 2 kg/s with a temperature of t3 = 600 k and a pressure of p3 = 10 bar. to achieve these conditions, an undergraduate research assistant must design the mixing system to utilize an available supply of t1 = 800 k heated air at p1 = 10 bar and mix this with a supply of t2 = 300 k unheated air at p2 = 10 bar and determine the mass flow rates of each inlet supply to achieve the desired outlet conditions. assume that the mixing chamber is well insulated (i. e., negligible heat losses). use a gas constant of r = 287 j/kgk for the air.(a) find the mass flow rates of the two air supplies (kg/s) at states 1 and 2 (hint: assume that changes in kinetic energy are negligible in the energy ) to complete the design, the supervising graduate student instructs the undergraduate research assistant to make sure that the inlet and outlet pipe inner diameters are designed such that none of the inlet or outlet velocities exceeds 0.3 of the sound speed, c, to avoid compressible flow conditions. i. e., the maximum velocity at 1 should not exceed v1 = 0.3c1, and so forth. assuming that the sound speeds are c1 = 567 m/s, c2 = 347 m/s, and c3 = 491 m/s, corresponding to t1 = 800 k, t2 = 300 k, and t3 = 600 k for air, respectively, determine the minimum pipe inner diameters needed.(c) while you assumed that changes in kinetic energy were negligible in part (a), given the maximum velocities in part (b), corresponding to 0.3 of the sound speeds, recompute the energy balance from part (a) so as to include the kinetic energy terms and determine if these terms make a significant change to the mass flow rates you computed in part (a).