A stream of $5\frac{m^3}{s}$ of ambient air $(20C,50\%RH)$ is mixed adiabatically with a recirculated air $(50C,30\%RH)$ for the aeration in stored grain. If the required temperature and relative humidity $($RH$)$ of the mixed air are $40C$ and $35\%,$ calculate the humidity ratio of the mixed air and volumetric flow rate of recirculated air

$[5]$