Problem $2(20\%).$

Air with a mass flow rate of $2\mathrm{.}5k\frac{g}{s}$ enters a horizontal nozle operating at steady state at $450K,350$kPa, and velocity of $5\frac{m}{s}.$ At the exit, the temperature is $290$ K and the velocity is $400\frac{m}{s}.$ Using the ideal gas model for air with constant $C_p=1\mathrm{.}01k\frac{J}{k}{g}^{**}K.$

$($a$)$ Write your energy balance equation to evaluate the heat transfer $(5\%)$

$\backslash$table$[[$Clearly show your steps to reach the final answer$]]$