This project is a double-blind, randomized, placebo-controlled trial of prazosin in subjects who are dependent on alcohol and have used alcohol within the last 30 days prior to randomization. The treatment phase will last 6 weeks and will include 40 subjects; 20 randomized to each experimental condition (prazosin and placebo). Participants in both the groups will be provided the same behavioral treatment for alcohol dependence throughout the course of the study. Participants in both groups will also use daily Interactive Voice Response (IVR) symptom monitoring technology to track daily fluctuations in alcohol use and craving, as well as medication compliance.