In 1866 he received his medical doctorate from the University of Vienna, and worked as an intern at Vienna General Hospital and as an assistant in the clinic of Johann von Oppolzer (1808-1871). Chrobak maintained this position until his retirement in 1908. With Friedrich Schauta (1849-1919), he was responsible for the planning and design of the new hospital department for gynecology in Vienna.
Chrobak"s operation: Supravaginal amputation of the uterus.
Otto-Chrobak pelvis: Protrusion of the acetabulum into the pelvic cavity. Named along with German anatomist Adolph Wilhelm Otto (1786-1845).