A$)$ Outside air at $5C$ and $40\%$ relative humidity is heated at $25C$ and final relative humidity is raised to $40\%$ while the temperature remains constant by introducing steam at $400$kPa into the airstream. Determine the following:

$[4]$

a$.$ Draw this process on a psychrometric chart

b$.$ Find the needed rate of heat transfer if the incoming volume flow rate of air is $60\frac{m^3}{m}in$

c$.$ Calculate the rate of steam supplied

d$.$ Calculate the state of the steam introduced

B$)$ Water is used to remove the heat from the condenser of a power plant. $12,000k\frac{g}{m}in$ at $40C$ water enters a cooling tower. Water leaves it at $25C.$ Air enters the cooling tower at $20C,50\%$ relative humidity and leaves it at $32C,98\%$ relative humidity. Estimate the following:

$[4]$

a$.$ The volume flow rate of air into the cooling tower

b$.$ Mass flow rate of water that leaves the cooling tower from the bottom