Aconverging-diverging nozzle is designed to produce a mach number of 2.5 with air. a) what operating pressure ratio (preceiver/ptotal) will cause this nozzle to operate at the first, second, and third critical points? b) if the inlet stagnation pressure is 150 psia, what receiver pressures that represent the operation at these three critical points?

Air contained in a piston-cylinder assembly undergoes a process from an bar. the initial pressure of 1 bar and temperature of 400 k to a final pressur initial volume of air is 0.2 m3. the process is described by pv- constant. assuming ideal gas behavior and neglecting kinetic and potential energy effects, determine the a)-mass of air, in kg b)-work for the process, in kj c)-heat transfer for the process, in kj pts

An ideal vapor-compression refrigeration cycle is employed to maintain a building temperature of 23°c when the outside temperature is 37°c. the cycle operates at steady state using ammonia as the working fluid. the mass flow rate of the refrigerant is 15 kg/min. the refrigerant enters the compressor at 1.5 bar and 10 °c. the condenser pressure is 20 bar and the temperature at the condenser exit is 45 °c. determine (a) the compressor power in kw. (b) the refrigeration capacity in tons. (c) the coefficient of performance. d) the maximum theoretical coefficient of performance.

Acantilever of 3 m length with a t-shaped cross-section is loaded by three concentrated loads: w,-80 n at the free end, w 30 n, and w,-60 n at a distance of 1 m from the free end. all loads are applied at the outer edges of the flange as indicated in the sketch below. (a)-determine the maximum torsional shear stresses in the flange and in the web at distances 0.5 m and 2.5 m from the free end (sections i and ii marked in the sketch) b)- determine thefh end cross section assuming a shear modulus of 210 gpa.