Carbon Dioxide $(C{O}_2)$ enters a poorly insulated turbine which loses, heat at a rate of $2100k\frac{J}{m}in,$ at $999$ kPa and $726C$ through a $77-mm$ diameter pipe at a speed of $47\frac{m}{s}.$ The $C{O}_2$ exits at $162$ kPa and $604C$ through a $654-$mm$-$diameter pipe. Calculate the power output produced by this turbine. Assume average temperature specific heats. $($Use the following steps as a guide$)$

a$)$ Draw your Control Volume. Clearly identify all known and unknown values that will be used in the course of solving this problem. $(20$ Points$)$