Consider an ideal CSTR with two inlets and one outlet.

Component A is fed into inlet stream $1$ and component B is fed into inlet stream $2$

The rate of reaction of species A is as follows: rrxn$,$A $=$ k$0$ cA$0\mathrm{.}5$ cB$1\mathrm{.}5,$ where k$0=0\mathrm{.}69$ L$/$gmol$$s

The reactor has the following characteristics:

The system is at a constant density of $1\mathrm{.}06$ g$/$cm$3$

The volumetric flowrate of stream $1$ is $10\mathrm{.}6$ L$/$s

The mass flowrate of the outlet stream is $70\mathrm{.}9$ kg$/$s

The entering concentration of A is $1\mathrm{.}6$ gmol$/$L

The entering concentration of B is $3\mathrm{.}2$ gmol$/$L

The conversion of species A is $0\mathrm{.}39,$ while the conversion of species B is $0\mathrm{.}42$

What is the required reactor volume in units of liters?

please include a diagram with relevant streams and labels, clear and explicit units and unit conversions, a list of the governing equations, and a mention of assumptions $($e$.$g$.,$ steady$-$state, isothermal, constant density$).$

Thank you so much!