Biofuel $($BF$)$ can be produced by reacting superheated sawdust $($SD$)$ with a chemical powder

catalyst $($C$)$ and water $($W$)$ in a reactor and separating out the products. The reaction proceeds

as follows: SD $+2$W $-->$ BF An inlet stream containing fresh sawdust, water, and the catalyst are

mixed with a recycle stream before entering the reactor. The flow rate of the fresh feed is $224$

$mo\frac{l}{h}r$ with mole fractions of $0\mathrm{.}252$ for sawdust, $0\mathrm{.}708$ for water, and the balance catalyst. The

stream leaving the reactor contains only biofuel, catalyst, and unreacted water. The effluent

stream is fed to a condenser, where the components are separated completely into two streams.

The bottom stream is the product stream that contains essentially all of the biofuel fed to the

condenser. The top stream, containing all of the catalyst and water, is split into recycle and purge

streams. The single pass conversion of water is $63\mathrm{.}3\%.$

$1-$Calculate the following unknowns leaving the overall system: component molar flow rate of

catalyst, component molar flow rate of biofuel, and component molar flow rate of water

$2-$ Calculate the following unknowns entering the reactor: component molar flow rate of water,

component molar flow rate of catalyst, and component molar flow rate of sawdust

$3-$ The overall fresh feed flow rate increases by $16\%.$ Compared to the original system, the

overall conversion of sawdust will decrease, increase, or stay the same $($choose one$)?$

$(4$ Points$)($Non$-$anonymous question$($i$)[4)$