A local college building was very uncomfortable during the last summer. The facilities manager would like to improve the working conditions inside this building. He needs your help to model a suitable ventilation system and provide the manufacturer with the necessary information to install this.

The details are as follows:

$$ The building temperature is to be maintained at $24\backslash$deg C$.$

$$ The relative humidity at $50\%.$

$$ On a typical hot summer day, the outside air temperature and relative humidity can be $30\backslash$deg C and $80\%,$ respectively.

$$ It is necessary to remove external and internal thermal loads of$162\mathrm{.}6$ kW$,$ as well as a quantity of water equal to $0\mathrm{.}01667$ kg$/$s$.$

$$ For sanitary and comfort reasons, the air supply temperature to the building will be set to $14\backslash$deg C and the recycled air proportion is kept below $70\%.$

$$ The outside air and recycled air are mixed, then cooled and the humidity is controlled to the required level.