Consider an irreversible, liquid$-$phase, elementary reaction $2$A $$ B taking place in two

continuous stirred tank reactors $($CSTRs$)$ in series under the same temperature. The second CSTR

is two times larger than the first reactor by volume. The intermediate conversion of A exiting the

first reactor prior to entering the second reactor is $50\%.$

$(1)(30$ pts$)$ What is the value of the Damk$$hler number for the first reactor?

$(2)(30$ pts$)$ What is the conversion of A exiting the second CSTR$?$

$(3)(40$ pts$)$ If a plug flow reactor $($PFR$)$ with a volume two times larger than the first CSTR is

used as the second reactor instead, what would the conversion of A exiting the PFR$?$