
Anthony P. answered 02/07/13
Experienced tutor in earth sciences and basic math to trigonometry
Loudness is related to the amplitude of sound waves (or pressure amplitude/ displacement relative to atmospheric pressure, typically), whereas intensity is the rate at which power (rate of energy transfer, or work per unit time) is transferred across a given area (Power/Area, or rate of energy transfer per unit area; units of watts/m2).
Check out this hyperphysics link for more details.
http://hyperphysics.phy-astr.gsu.edu/hbase/sound/loud.html#c1