As shown in the figure below, air enters the diffuser of a jet engine operating at steady state at $18$kPa,${}_1=223K$ and a velocity of $265\frac{m}{s},$ all data corresponding to high$-$altitude flight. The air flows adiabatically through the diffuser and achieves a temperature of $250$ K at the diffuser exit.

$p_1=18N$

$V_1=265$

$T_2=250$

Using the ideal gas model for air, determine the velocity of the air at the diffuser exit, in $\frac{m}{s}.$

$V_2=\frac{n}{s}$