Chapter 9, Problem 9.24P

To determine

(a)

To show: that the isentropic relation can be expanded as,

$p_0\approx p+\frac{1}{2}\rho V^2\left(1+\frac{1}{4}M{a}^2+\frac{2-k}{24}M{a}^4+\mathrm{....}\right)$.

To determine

(b)

To find: the Mach number where the error is equal to $4\%$.