The lake of fire is the final, eternal place of conscious punishment for the wicked — distinct from Hades (the intermediate state) and from the bottomless pit (the demonic prison). In Revelation 19:20, the beast and the false prophet are cast alive into the lake of fire at Christ's return. In 20:10, Satan joins them after the thousand-year millennium. In 20:14, "Death and Hades were cast into the lake of fire. This is the second death." And in 20:15, "anyone not found written in the Book of Life was cast into the lake of fire." The lake of fire is Gehenna — the Christ-named "hell" of Matthew and Mark — in its final, consummated form. It is eternal (Matthew 25:46), conscious (Revelation 14:11, 20:10), and just (Revelation 16:5-7). The existence of the lake of fire is not a stain on God's goodness but its vindication: it is where unrepentant evil finally meets the justice it has always deserved. The only way to escape it is the refuge God Himself has provided: His Son.
Revelation 20:14-15 — "Then Death and Hades were cast into the lake of fire. This is the second death. And anyone not found written in the Book of Life was cast into the lake of fire."
Revelation 20:10 — "The devil, who deceived them, was cast into the lake of fire and brimstone where the beast and the false prophet are. And they will be tormented day and night forever and ever."
Matthew 25:41 — "Depart from Me, you cursed, into the everlasting fire prepared for the devil and his angels."