Liquid hydrazine $($N$2$H$4)$ is injected in a combustion chamber at $400$ K and burned with $100\%$ excess air at $298$ K$.$ The combustion chamber is jacketed with water. The combustion products leave at $900$ K$.$ In the test; $50\mathrm{.}0$ gmol of N$2$H$4$ are burned per hour and water at $25\backslash$deg C enters the water jacket for cooling at the rate of $1\mathrm{.}00$ kg$/$min$.$ The reaction is: N$2$H$4($l$)+$ O$2($g$)$ N$2($g$)+2$H$2$O$($g$)$ Calculate: $($a$)$The heat that is added or removed from the reactor to the water jacket, b$)$Exit temperature of water from the water jacket, $($c$)$ Volumetric flow rate of the water at exit. Data:Heat capacity is in the form; Cp$($kJ$/$gmol$.\backslash$deg C$)=$ a $+$ bT $($ T is in $\backslash$deg C $)$ Component T a$*103$ b$*105$ H$\backslash$deg f$($kJ$/$gmol$)$N$2$H$4($l$)(\backslash$deg C$)13944\mathrm{.}77$H$2$O$($l$)(\backslash$deg C$)75\mathrm{.}4-285\mathrm{.}84$H$2$O$($g$)(\backslash$deg C$)33\mathrm{.}50\mathrm{.}7-241\mathrm{.}83$ N$2($g$)(\backslash$deg C$)29\mathrm{.}00\mathrm{.}22$ O$2($g$)(\backslash$deg C$)29\mathrm{.}11\mathrm{.}2$