a$)$Please write down the formulas of the kinetic energy rate and potential energy rate and define

every term on the formulas. Please write down the energy balance equation for a closed system and

define every term on the formula. Please write down the energy balance cquation for an open system

and define every term on the formula.

b$)$The standard heat of reaction for the oxidation of ammonia is given below:

$4N{H}_3(g)+5O_2(g)4NO(g)+6H_{2}O(g)hat(H{)}_r=-904,7k\frac{J}{m}ol$

One hundred mol $N\frac{H_3}{s}$ and $200$mol$\frac{O_2}{s}$ at $25C$ are fed into a reactor in which the ammonia is

completely consumed. The product gas emerges at $300C.$ Calculate the rate at which heat must be

transferred to or from the reactor, assuming operation at approximately I atm. $($For $N{H}_3$ and $O_2$hat$(H)=0$

$k\frac{J}{k}g.$ In the output flow, for NOhat$(H)=8,453k\frac{J}{k}g,$ for $H_{2}O,$hat$(H)=9,570k\frac{J}{k}g$ and for $O_2$hat$(H)=8,470k\frac{J}{k}g.)$

$(20$ points$)$

$-$ANSWERS$--$