assuage

sense 1: cause to be more favorably inclined; gain the good will of; "She managed to mollify her angry boss"
pacify lenify conciliate assuage appease mollify placate gentle gruntle

sense 2: satisfy (thirst); "The cold water quenched his thirst"
quench slake allay assuage

sense 3: provide physical relief, as from pain; "This pill will relieve your headaches"
relieve alleviate palliate assuage