$8)$ The off$-$gas from a reactor in a process plant has been condensing and plugging the vent line, causing a dangerous pressure buildup in the reactor. Plans have been made to pass the gas directly from the reactor into a cooling condenser in which the gas and liquid condensate will be brought to $25\backslash$deg C$.$ An elemental analysis indicates that the gas formula is CsH$120$ and the off$-$gas flow rate is given as $235$ m $/$ at $116\backslash$deg C and $1$ atm. You take a sample of the gas and cool it to $25\backslash$deg C$,$ where it solidifies. You then heat the solidified sample at $1$ atm and note that it melts at $52\backslash$deg C and boils at $113\backslash$deg C$.$Indicate the steps needed, calculations required, and any assumptions made to determine the heat removal rate required to bring the off$-$gas from $116\backslash$deg C to $25$ degrees celsius. How coukd you furtger reduce the cost of tge energy removal rate?