$1)$ Plot the process that outdoor air goes through on a psychrometric chart as it passes through each component of a commercial air conditioning system such as we are touring, for both the summer and winter design conditions. Assume: a$.$ Outdoor design conditions: Winter: $0$C$,50\%$ RH Summer: $35$C$,50\%$ RH b$.20\%$ Ventilation air c$.75\%$ effectiveness of the cooling coil $($includes both sensible and latent energy$)$ d$.5$C cooling coil temperature in summer e$.$ Reheat done in zones when needed f$.$ Supply condition of $10$C in the summer and $40$C in perimeter zones in the winter g$.$ Cooling system COP of $3$ h$.$ Heating efficiency of $90\%$ i$.$ Setpoint conditions of $20$C and $50\%$RH j$.$ Well$-$mixed, steady state zones

$2)$ Quantify the energy needed to condition enough air to provide $1$ACH of ventilation air to a classroom that is $1000$SF and has $9$ foot ceilings, for each season. Remember, the energy used is not the energy added or removed from the air. Be sure to remember both heating and cooling when appropriate and show all calculations and assumptions.