A volume$-$stable reaction of type $2$ A $->$ B is to be carried out isothermally at $65\backslash$deg C in a discontinuous stirred tank with ideal mixing. $25$ minutes are scheduled for filling the reactor, heating and cooling the reaction mixture and draining. The molar masses of the reactants are MA $=65\mathrm{.}37$ kmol$/$kg and MB $=98\mathrm{.}46$ kmol$/$kg$.$

The rate law of the reaction is

The initial concentration of reactant A is:

$($a$)$ What reaction time is required for a conversion of UA $=0\mathrm{.}8?$

$($b$)$ What reaction volume VR is required for a production rate of $80$ kg$/$h$?$

Translated with www$.$DeepL.com$/$Translator $($free version$)$A volume$-$stable reaction of type $A+BC$ should be carried out

isothermally at $100C$ in a discontinuous stirred tank with ideal mixing.

$35$ minutes are planned for filling the reactor, heating

and cooling the reaction mixture and emptying it$.$ The molar

masses of the educts are MA $=49\mathrm{.}64$kmo$\frac{l}{k}g,MB=72\mathrm{.}48$kmo$\frac{l}{k}g$ and $Mc$

$=122\mathrm{.}12$kmo$\frac{l}{k}g.$

The rate law of the reaction is:

$R=1\mathrm{.}2610-4m^3$kmol$-1s-1.CA2$

The initial concentration of educt $A$ is:

$CA.0=2\mathrm{.}65\frac{\text{k}\text{m}\text{o}\text{l}}{m^3}$

$($a$)$ What reaction time is required for a conversion of $UA=0\mathrm{.}75?$

$($b$)$ What reaction volume VR is required for a production output of

$120k\frac{g}{h}?$