Semester $1$ AY $2022-23$ batch reactor. Reactant A has an initial concentration of of $40mo\frac{l}{d}{m}^3.$ The system's temperature is $500K$ and the pressure is $16$atm.$k_A=15d{m}^3*mo{l}^{-1}*mi{n}^{-1}.$

Calculate the time required to achieve a conversion of $70\%$ for A$.[$Show all steps of algorithm for isothermal reactor design$]$

Q$1.$ Mole Balance $($Design Equation$)-(1$ mark$)$

Q$2.$ Rate Law $(2$ marks$)$

Q$3.$ Stoichiometry $(2$ marks$)$

Q$4.$ Combine $(2$ marks$)$

Q$5.$ Evaluate $(3$ marks$)$