P$2.$ lodine is commercially obtained by the reaction of seaweed with $Mn{O}_2$ and $H_{2}S{O}_4.$

$2$NaI$+Mn{O}_2+2H_{2}S{O}_{4}N{a}_{2}S{O}_4+MnS{O}_4+2H_{2}O+I_2$

$20\%$ more $H_{2}S{O}_4$ is fed to the reactor. The mixture leaving the reactor is sent to a separator to obtain a product containing $54\%I_2$ and $46\%H_{2}O$ by mass. The waste stream taken from the separator contains $H_{2}O,MnS{O}_4,N{a}_{2}S{O}_4$ and inert substances. The unreacted NaI and $H_{2}S{O}_4$ are taken from the separator and fed back to the reactor. Considering that the seaweed contains $5\%$NaI,$30\%H_{2}O$ and $65\%$ inert substances by mass and the reaction occurs at a single pass conversion of $80\%.$

a$)$ The amount of $kg{l}_2$ obtained from $1$ ton of seaweed,

b$)$ The amount and mass composition of the waste stream,

c$)$ The amount and mass composition of the recycle stream