Psychometric exercise

[Peter_1]

The purpose of the exercise should be that we have an internal load with a given sensible and latent heat.
We need a constant fresh air intake of +/- 30%, in winter cold and dry (also need an electrical heater to prevent cold battery from freezing) and in summer hot and humid, preheater, then a cooler, after-heater, filter

To quote my own post: let's say that we have an internal load of 50 kW (170607 BTU/h or 14.21 TR) from which is 20% latent heat.
In the room are 30 peoples and local regulations states that there has to be a fresh air intake of 15m³/h/person (8.8ft³/min/person)
The RH inside the room must be kept at 65% and temperature 22°C (71.6°F)
Outside conditions can go in winter from -10°C/50% (14°F) and in summer to 35°C/80% (95°F)
Bypass factor of coils are all 0.2

Calculate:
needed cooling battery,
heating battery,
is a supplementary preheating or after-heating necessary,
how much moisture will be removed in the worst condition,
the humidification must be done with water kept at 10°C, as second case with water which takes the same wet bulb temperature as the air passing by, with water kept at 50°C, with steam at 110°C (230°F)
how much supplementary energy will be needed in the most humid situation to reheat the air to the desired room condition,

I'm sure that this is a difficult exercise for many amongst us, especially because this isn't real refrigeration but belongs anyhow to the basics.