Question $5$

$--/10$

An air compressor takes in $1k\frac{g}{s}$ of air at $p_1=100$kPa,$T_1=17C$ and delivers it at $p_2=1$MPa,$T_2=600K$ to a constant$-$pressure cooler, which it exits at $T_3=300K$ at steady state. Heat transfer from the compressor to the surrounding is $20kW.$ Kinetic, potential energy changes are negligibly small. Air can be modeled as an ideal gas with $k=1\mathrm{.}4.$

What is the heat transfer from the constant$-$pressure cooler in $kW?$

$129\mathrm{.}35$

$-331\mathrm{.}24$

$-301\mathrm{.}35$

$-129\mathrm{.}35$

$(5)331\mathrm{.}24$