dissipation n.

early 15c., dissipaten, "scatter or drive off in all directions," from Latin dissipatus, past participle of dissipare "to spread abroad, scatter, disperse; squander, disintegrate," from dis- "apart" (see dis-) + supare "to throw, scatter," which is apparently from a PIE *supi- "to throw, sling, cast" (source also of Lithuanian supu, supti "to swing, rock," Old Church Slavonic supo "to strew").

Intransitive sense of "become scattered or dispersed, vanish through diffusion" is from 1620s; that of "expend wastefully, scatter by foolish outlay" is from 1680s. Related: Dissipated; dissipates; dissipating.