A nitrogen line $-$hat $=0\mathrm{.}177921m\frac{3}{k}g,U-$hat$=301\mathrm{.}38k\frac{J}{k}g,H-$hat $=310\mathrm{.}276k\frac{J}{k}g)$ is connected to a closed, initially evacuated tank of $52m3.$ The turbine operates to a tank pressure of $0\mathrm{.}5$MPa at which point the temperature is $250K($V$-$hat $=0\mathrm{.}147817m\frac{3}{k}g,U-$hat $=183\mathrm{.}89k\frac{J}{k}g,H-$hat $=191\mathrm{.}281k\frac{J}{k}g).$ Assuming the entire process is adiabatic, determine the turbine work to the nearest $1$ decimal place $($in $k\frac{J}{k}g).$