Chapter 7, Problem 7.5P

Note: In the following problems, you will deal with both the International System of Units (SI) (N, kg, m, s, K) and the English Engineering System (lb, slug, ft, s, $°\text{R}$). Which system to use will be self-evident in each problem. All problems deal with calorically perfect air as the gas, unless otherwise noted. Also, recall that $1\text{atm}=2116{\text{lb/ft}}^{\text{2}}=1.01\times {10}^5{\text{N/m}}^{\text{2}}$.

Consider the isentropic flow through a supersonic wind-tunnel nozzle. The reservoir properties are $T_0=500\text{K}$ and $P_0=10\text{atm}$. If $p=1$ atm at the nozzle exit, calculate the exit temperature and density.