$($b$)$ The airplane gains speed at the same standard altitude of $4\mathrm{.}5$ km $,$ reaching a speed of $275\frac{m}{s}.$ at a point on the wing, the airflow velocity is $315\frac{m}{s}.$ Find the temperature and pressure at this point. Note that the flow is isentropic $($i$.$e$.,$ frictionless and adiabatic$)$ and the isentropic relation for an ideal gas must be used:

$\frac{p_2}{p_1}=(\frac{T_2}{T_1}{)}^{\frac{}{-1}}$

where $=1\mathrm{.}4.$