PROBLEM $2$:

An air$-$conditioning system is to take in air at $\backslash (1\backslash$mathrm$\{$~atm$\},34^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and $70$ percent relative humidity and deliver it at $\backslash (22^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $50$ percent relative humidity. The air flows first over the cooling coils, where it is cooled and dehumidified, and then over the resistance heating wires, where it is heated to the desired temperature. Assuming that the condensate is removed from the cooling section at $\backslash (10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ determine $($using psychrometric chart$)$

$($a$)$ the temperature of air before it enters the heating section,

$($b$)$ the amount of heat removed in the cooling section in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash )$ dry air, and

$($c$)$ the amount of heat transferred in the heating section in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash )$ dry air