An ammonia gas stream from a reactor contains $25\%$ ammonia and the rest inert gas. The total flow is $1000$kgmo$\frac{l}{h}$ to an absorption tower at $30C$ and $1$atm where water containing $0\mathrm{.}5\%$ ammonia is scrubbing liquid. It is desired to reduce gas to an outlet concentration of $2\%$ ammonia. What is the minimum liquid flow? Using $1\mathrm{.}5$ times the minimum, plot the operating line. Find the number of the theoretical trays.

Operation line data at operation conditions:

$\backslash$table$[[x_A,0,0\mathrm{.}0126,0\mathrm{.}0167,0\mathrm{.}0208,0\mathrm{.}0258,0\mathrm{.}0309,0\mathrm{.}0405,0\mathrm{.}0503,0\mathrm{.}0737],[y_A,0,0\mathrm{.}0151,0\mathrm{.}0201,0\mathrm{.}0254,0\mathrm{.}0321,0\mathrm{.}0390,0\mathrm{.}0527,0\mathrm{.}0671,0\mathrm{.}105]]$

$\backslash$table$[[0\mathrm{.}096,0\mathrm{.}137,0\mathrm{.}175,0\mathrm{.}210,0\mathrm{.}241,0\mathrm{.}297],[0\mathrm{.}145,0\mathrm{.}235,0\mathrm{.}342,0\mathrm{.}463,0\mathrm{.}597,0\mathrm{.}945]]$