One gaseous feed stream $(1$ liter$/$min$)$ containing A $($CA$0=0\mathrm{.}01$ mol$/$liter$)$ and a second gaseous feed stream $(3$ liter$/$min$)$ containing B $($CB$0=0\mathrm{.}02$ mol$/$liter$)$ enter a mixed reactor $1$ liter in volume and react to form a whole host of products R$,$ S$,$ T$,.$ Analysis of the outgoing stream of $6$ liters$/$min shows that CAf$=0\mathrm{.}0005$ mol$/$liter and CRf$=0\mathrm{.}01$ mol$/$liter$.$ All flow rates and concentrations are measured at the uniform temperature and pressure of the reactor. Find the rate of reaction of A and the rate of formation of R in the reactor