Effect of Relative Humidity:
Two replies contradicted each other. In fact, higher RH reduces air density.
This is because the molecular weight of water vapor, H2O is lower than that of O2 and N2, the main components of air.
At a given temperature and pressure, there are a specific number of molecules per cubic ft of air. Water vapor displaces N2 and O2, so the density decreases.
The effect on AC performance during TO is mainly through the effect on reciprocating engine HP. The effect appears to only become significant around 90% RH at 85F or higher.
Turbine AC have virtually no problem with high humidy at normal runway altitudes. They are generally flat rated up to considerable altitude and ambient temperatures.
Ron Freimuth