$2.(2$ points$)1.$ A nitrogen cold$-$gas thruster on a satellite has a chamber pressure and temperature of $10$ bar and $300$ K and operates in a vacuum. The converging nozzle has a throat diameter of $1$ mm$.$ Determine a$)$ the mass ow rate and thrust for this thruster, b$)$ the mass ow and thrust if a diverging section is added with an expansion ratio of $60.$ Treat nitrogen as air.