The characteristic gas constant and the ratio of specific heats of air are 0.287 kJ/kgK and 1.4 respectively.

Question

Statement for Linked Answer Q.01& Q.02

The temperature and pressure of air in a large reservoir are 400 K and 3 bar respectively. A converging diverging nozzle of exit area 0.005m² is fitted to the wall of the reservoir as shown in the figure. the static pressure of air at the exit section for isentropic flow through the nozzle is 50 kPa. The characteristic gas constant and the ratio of specific heats of air are 0.287 kJ/kgK and 1.4 respectively.       

                                 

1. The density of air in kg/m³ at the nozzle exit is

      (a) 0.560                                                             (b) 0.600

      (c) 0.727                                                             (d) 0.800

 

    2  .The mass flow rate of air through the nozzle in kg/s is

      (a) 1.30                                                               (b) 1.77

      (c) 0.85                                                               (d) 2.06