Problem $1.(50$ points$)$

Five liters per minute of humid air $($stream $(1))$ at $25C$ and $800[mmHg]$ and with a dew

point temperature of $20C$ enter a mixing vessel as shown in Figure $1.$ That stream is

combined with stream $(2)$ that consists of $10$ liters per minute of humid at $25C$ and

$780mmHg$ with a relative humidity of $50\%.$ In addition, $2\mathrm{.}0m\frac{L}{m}in$ of water $($stream

$(3)),$ at $25C$ and $760mmHg,$ is added to the vessel. The resulting mixture $($stream $(4))$

leaves at $60C$ and $760mmHg.$

Some additional information is as follows:

Antoine equation for water: $log(p^{**}[(mm)Hg])=8\mathrm{.}10765-\frac{1750\mathrm{.}286}{T[C]+235}$

Specific gravity of water $(25\%4)$:$0\mathrm{.}997$

Gas constant: $R=0\mathrm{.}08206[L*at\frac{m}{m}ol*K]$

Molar mass of water: $18[\frac{g}{m}ol]$