Wotiz began studying of chemical engineering at the Czech Technical University in Prague, but went to the US with his brother in 1939 because of the German occupation of Czechoslovakia. In 1941 he received a bachelors degree in chemistry from Furman University and in 1943 a masters degree from the University of Richmond. At the end of World War II he served in the United States Army as Lieutenant of chemical weaponry. In 1944 he became a US citizen. In 1948 he earned a PhD in chemistry under Melvin S. Newman at Ohio State University.
Wotiz was an instructor and from 1954 an associate professor at the University of Pittsburgh. He went to work in industry at the Diamond Alkali Company in Painesville in 1957. There he was involved in authoring 44 patents. In 1962 he became a professor at Marshall University in Huntington, West Virginia, and in 1967 at Southern Illinois University in Carbondale.
In 1980 Wotiz was Chairman of the History Division of the American Chemical Society. Starting in 1971 he organized trips to Europe regarding the history of chemistry. As a chemical historian, he was particularly concerned with August Kekulé. He was involved in establishing a center for the history of chemistry, the Chemical Heritage Foundation (now the Science History Institute).
Wotiz retired in 1989. He was particularly committed to international exchange with Eastern Europe and was involved in comparative studies of chemical education in the Soviet Union, Eastern Europe and Asia. He and his wife Kathryn died as a result of a car accident on August 21, 2001.