Given: CO$2$ flows through a nozzle at a rate of $2$ kg$/$s$.$ The temperature at the inlet is $773$K$,$ and the inlet pressure is $1000$kPa. The inlet area is $0\mathrm{.}004$ m$^2.$ the exiting velocity is $450$ m$/$s$.$ Find: a$)$ use the ideal gas law to find the specific volume of the entering CO$2$ b$)$ use a mass balance to compute the entering velocity c$)$ use an energy balance to compute the exiting temperature