Hygrometry is the branch of meteorology concerned with the measurement of air humidity, i.e. the proportion of water in a gaseous state present in the air.
"https://fr.wikipedia.org/wiki/Hygrométrie"

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Note added at 9 hrs (2021-07-14 21:01:51 GMT)
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Yes, of course. Welcome.

French term (edited): poids de l'eau

It’s well known that the water weight depends on its density, i.e. weight per volume.

The density varies with temperature, but not linearly: as the temperature increases, the density rises to a peak at 3.98 °C (39.16 °F) and then decreases;[31] this is unusual
:
Density of ice and water as a function of temperature
https://en.wikipedia.org/wiki/Properties_of_water#Density_of...

Liquid water has one of the highest specific heat capacities among common substances, about 4184 J⋅kg−1⋅K−1 at 20 °C; ...
:
In either unit, the specific heat capacity of water is approximately 1.
https://en.wikipedia.org/wiki/Specific_heat_capacity

Now to the chiller:

How to calculate the cooling capacity of a chiller. …
Firstly to perform this calculation we need to know a few things.
• The volume flow rate of water into the evaporator
• The inlet and outlet chilled water temperature
We then need to lookup the properties of water for the following
• The density of the water at the average temperature (inlet temp + outlet temp)/2
• The Specific Heat Capacity of the chilled water at the average temperature (inlet temp + outlet temp)/2
:
The water flow rate of chilled water into the evaporator is 0.0995m3/s, the inlet temperature is 12*c and the outlet temperature is 6*c. This means the average temperature is 9*c so we lookup the water properties at this temperature to find the density of 999.78 kg/m³ and a specific heat capacity of 4.19kJ/kg/K.
Using the energy equation of Q = ṁ x Cp x ΔT we can calculate the cooling capacity.
Q = (999.78 kg/m3 x 0.0995 m³/s) x 4.19kJ/kg/K x ((12*c+273.15 K) – (6*c+273.15 K))
We add 273.15 K to the celcius to convert it to units of Kelvin.
The Specific heat capacity (Cp) is measured in units of kJ per kg per Kelvin.
This gives us a final answer of Q = 2,500 kW of cooling. Full calculations are shown below.
https://theengineeringmindset.com/chiller-cooling-capacity-c...

The formulas on this page allow one to calculate the temperature rise for a given water cooling application where the power dissipation and flow rate are known. By knowing the density of water, one can determine the mass flow rate based on the volumetric flow rate and then solve for the temperature rise.
http://www.nessengr.com/technical-data/water-cooling/

7.3.2 Performance Parameters

Several parameters are used to describe the performance of ejectors in cooling cycles, as provided below.
The entrainment ratio ω is the ratio between the secondary fluid mass flow rate ms, in kg/s, and the primary fluid mass flow rate mp, in kg/s:
https://www.sciencedirect.com/topics/engineering/fluid-mass-...

where C = heat capacity rate of the fluid of interest,
dm/dt = mass flow rate of the fluid of interest and
cp = specific heat of the fluid of interest.
https://en.wikipedia.org/wiki/Heat_capacity_rate

mdotin:The mass of water flow rate into the front glass (kg/s)
mdotout:Mass of water flow rate out of the front glass (kg/s)
https://eprints.kfupm.edu.sa/id/eprint/139904/1/MS_Thesis_Ab...

Based on these references, we can use teh term "mass of water flow rate" or shorter "water flow rate" or "flow rate":

The final temperature in the rooms depends on the internal supply but it can be confirmed that as long as the supply temperature of 14°C (with a humidity between 80 and 90% RH) is guaranteed the (mass of) water flow rate will correspond to the demand.