A bicycle tire is filled with air at 169.12 kPa (abs) and 30C. The valve breaks, and

Question:

A bicycle tire is filled with air at 169.12 kPa (abs) and 30°C. The valve breaks, and air exhausts into the atmosphere of 100 kPa (abs) and 20°C. The valve exit is 2-mmdiameter and is the smallest area in the system. Assuming one-dimensional isentropic flow,
(a) Find the initial Mach number, velocity, and temperature at the exit plane.
(b) Find the initial mass flow rate.
(c) Estimate the exit velocity using the incompressible Bernoulli equation. How well does this estimate agree with part (a)?