Consider isentropic flow of an ideal gas with constant k through a converging nozzle from a large tank at 500 K, 8 bar. Using the results of Problem .83(a) (given below) with k at 500 K, evaluate the temperature, in K, and pressure, in bar, at the state where Mach number is unity for

(a) air.
(b) oxygen, O2
(c) carbon dioxide, CO2

10 kg of co2 is initially contained at 400 kpa and 300 k. the gas constant for carbon dioxide is 189 j/lkg k) and has a specific heat ratio, k, of 1.289. isentropic expansion then occurs until the pressure is 200 kpa. a) determine the initial volume of co2 in m. b) determine the final temperature in k. c) determine the work done by the system during the expansion kl.