Two streams containing air and water vapour are mixed. The first stream has a flowrate of $3,000$ kg$/$h$,$ a dry$-$bulb temperature of $53$C and a wet$-$bulb temperature of $22$C$.$ The second stream is saturated with an enthalpy of $95$ kg$/$kJ$.$ The two streams are mixed to form a stream with a temperature of $39$C$.$ This mixed stream is cooled until condensation occurs.

With the aid of a humidity chart, determine the following:

$($a$)$ The values of humidity and enthalpy of the first stream.

$($b$)$ The values of dry$-$bulb temperature and humidity of the second stream

$(c)$ The flowrate of the second stream.

$($d$)$ The temperature at which the first condensation occurs in the mixed stream.

$($e$)$ The heat removed from the mixed stream by cooling in kW$.$