Final answer:
The velocity and mass flow rate of air leaving a compressed chamber can be calculated using Bernoulli's principle, the perfect gas law, and the continuity equation assuming isentropic conditions.
Step-by-step explanation:
The student's question pertains to the airflow from a compressed chamber to the surrounding area through a hole and involves calculating the velocity and mass flow rate per unit area for these conditions. We look at two distinct parts: (a) the velocity of airflow, which can be approximated using Bernoulli's principle and (b) the mass flow rate per unit area that requires the use of the perfect gas law and the continuity equation.
Since the student has been asked to assume air is a perfect gas, we can use the equations for isentropic flow to find the velocity because the process is adiabatic and reversible. The mass flow rate can be found using the velocity and the density of the air, derived from its pressure and temperature based on the ideal gas law.