Paul never uses the Greek words translated "hell" and there is no eternal torment in the fires of hell in Paul's Christianity. This was a later invention.
Although he never mentions hell there is a strong doctrine of victory over death ("Where, O death, is your victory? Where, O death, is your sting?" from 1 Corinthians 15:55). In 2 Thessalonians 1:9 we see the idea of everlasting destruction for those who do not accept Jesus but, again, equating this with eternal torment in the fires of hell (as opposed to death and dust and therefore separation from God) is a later invention. In Paul's mind the ungodly will be destroyed but Christians will be given eternal life. Paul was a Jew and, thus, would have had no conception of a place of eternal hell fire and torment for the dead which us nowhere to be found in the Old Testament/ Hebrew Bible. What Paul taught was that by being a disciple and true follower of Christ you will be in the good graces of God and have LIFE, even after death.