A binary gas mixture with solute concentration of mole ratio $0\mathrm{.}001$ has to be absorbed by a fresh solvent. The final gas concentration is limited to $0\mathrm{.}0004$ mole ratio. The gas flow rate is $6$kmo$\frac{l}{h}r$ in solute free basis. Find the minimum liquid flow rate. If the operational liquid rate is $1\mathrm{.}5$ times of the minimum, find the no$.$ of ideal stage for this operation. The equilibrium relation is given by

$\backslash$table$[[x,0,0\mathrm{.}002,0\mathrm{.}004,0\mathrm{.}006,0\mathrm{.}008,0\mathrm{.}01,0\mathrm{.}012,0\mathrm{.}014,0\mathrm{.}015,0\mathrm{.}016,0\mathrm{.}018,0\mathrm{.}02,0\mathrm{.}022,0\mathrm{.}024,0\mathrm{.}025],[,,,,,,,,,,,,,,,],[r,0,0\mathrm{.}000173,0\mathrm{.}000327,0\mathrm{.}000464,0\mathrm{.}00058,0\mathrm{.}00068,0\mathrm{.}00076,0\mathrm{.}00083,0\mathrm{.}00085,0\mathrm{.}00087,0\mathrm{.}0009,0\mathrm{.}00091,0\mathrm{.}0009,0\mathrm{.}00087,0\mathrm{.}00085]]$