Carbon dioxide gas enters a water$-$cooled compressor at conditions P$-1$ bar and T$!10\backslash$deg C$,$ and is discharged at conditions P$2=36$ bar and T$,-90\backslash$deg C$.$ The entering CO$2$ flows through a $10-$cm$-$diameter pipe with an average velocity of $10$ m$-$s$-1,$ and is discharged through a $3-$cm$-$diameter pipe. The power supplied to the compressor is $12\mathrm{.}5$ kj mol$-.$ What is the heat$-$transfer rate from the compressor? HI $=21\mathrm{.}71$ kJ$.$mol$-1$ Vi $=23\mathrm{.}40$ L$-$mol$-1$ H$-=23\mathrm{.}78$ kJ$.$mol$-1$ V$2=0\mathrm{.}7587$ L$-$mol$-1$