Nitrogen flows into the tank $($Fig $2)$ at $A$ at $v_A=3\frac{m}{s},$ and helium flows in at $B$ at $v_B=8\frac{m}{s}$ Both enter at a gage pressure of $260$kPa and a temperature of $150C.$ Determine the velocity of the mixed gas leaving the tank steadily at $C.$ The mixture has a density of $2\mathrm{.}520k\frac{g}{m^3}.$ The atmospheric pressure is $101\mathrm{.}3$kPa.