An ideal gas with constant heat capacities enters a converging/diverging nozzle with
negligible velocity. If it expands isentropically within the nozzle, show that the throat
velocity is given by:
uthroat² = γRT/ℳ (γ + 1)
where T1 is the temperature of the gas entering the nozzle, ℳ is the molar mass, and
R is the molar gas constant.