A $0\mathrm{.}002$ m$3$ tank is filled with air for $10$ s$.$ The tank initially contains air at atmospheric conditions $($e$.$g$.,300$ K and $1$ atm$),$ and air enters at the same temperature and pressure with a mass flow rate of $2$x$10-4$ kg$/$s$.$ Assuming air behaves as an ideal gas, determine the temperature and pressure $($in kPa$)$ of the air in the tank at the end of the filling process $(10$ pts$).$