Gas$-$phase He is compressed in a reversible, adiabatic process from $90$ kPa and $30\backslash$deg C to $450$

kPa. Calculate T$2$ and the work done, assuming the process takes place $($a$)$ in a piston$$cylinder

device $($i$.$e$.$ a closed system$)$ and $($b$)$ in a steady$-$flow compressor $($i$.$e$.$ an open system$).$