Two streams of air and oxygen flowing at $3\mathrm{.}5\frac{m^3}{s}$ and $2\frac{m^3}{s}$ respectively are fed into a pipe that expands suddenly. The pipe's internal diameter is $20cm$ at both gases' inlets and $50cm$ at the outlet. The density of the air entering is $1\mathrm{.}5k\frac{g}{m^3}$ and that of oxygen at the inlet is $1\mathrm{.}2k\frac{g}{m^3}.$ The exit stream has a temperature of $60C$ and $100$kPa.

Assume steady$-$state operations and air and oxygen behaving as ideal gases.

Calculate the velocity inlet for both air and oxygen streams and the velocity outlet of the pipe.

Assume: $R=0\mathrm{.}287\frac{J}{g}.K$