Density


It is a well known fact that air becomes "thinner" with higher altitude.  Most also know that gases, such as air, expand with increasing temperature.  Unlike in the section that discusses the ballistic coefficient, air density is a factor, with several sub-factors, that the scope must be adjusted for prior to making the shot.  The ballistic coefficient is usually only useful when choosing what bullet to bring.

Pressure:
Changing altitudes is one way to change air pressure, but weather conditions also have an effect.  It is better to use a barometer than to simply use altitude.  If pressure is lower, air density is lower, which provides less drag on the bullet.  This means the bullet will maintain it's speed better and drop less, resulting in hitting the target higher than the shooter was expecting, assuming no adjustments were made.

Temperature:
Increasing temperature will decrease air density and will have the same effect as decreasing pressure.

Humidity:
Considering humidity may be a bit counter-intuitive to some people.  We may think that by adding water to the air, the air becomes "thicker," thereby more dense.  Compare the molar mass of dry air, 29 g/mol, to the molar mass of pure water, 18 g/mol.  Now consider the ideal gas law below:

pV=nRTpV=nRT

Isolating the impact of changing humidity by keeping pressure, volume, and temperature constant (and R is always constant), it is apparent that by adding water to the air, increasing humidity, that the water molecules must displace other components of the air to another location, which will have an overall effect of reducing the molar mass of the air.  This, in turn, lowers density, leading to the same higher-than-expected impact as described above.