$400$ tons of moist paper with a moisture content of $0\mathrm{.}80kgH2$O$/$kg dry paper is dried to a moisture content of $0\mathrm{.}10$kgHO$/$kg dry paper per day. Air at a temperature of $22C$ and $70\%$ relative humidity is blown into the dryer and leaves the dryer at $65C.$ An air sample, from the outgoing air, is analyzed for water content. The analysis is done so that the sample is slowly cooled under constant pressure $(100$ kPa$),$ whereby condensation $($moist hour$)$ appears on a mirror at $40C.$

a$)$ Determine the dew point of the incoming air flow.

b$)$ Calculate the amount of water removed from the paper $[$L$/$day$].$

c$)$ Calculate the total air flow into the dryer $m\frac{3}{s}.$