Penal Substitutionary Atonement is because of Hell

Hell is evidence that God's full retributive divine justice must be satisfied. Hell is not arbitrary justice. Hell is eternal because God is an eternal person. All our sins are against him. (Psa. 51:4, Gen.4:10, Lv.6:2, Jam.2:9, Mt.25:45, 1 Jn.3:4) Only an eternal person could satisfy his justice, thus Jesus alone could make propitiation as God manifest in the flesh. An eternal person propitiated an eternal person and the Father was pleased with the Son.
There could not be a third-party suffering for sin for the law and righteousness itself forbids it, yea it would be unjust. (Prv.17:15, Ezk.18:4,20, 2 Chr.25:4, Ex.32:32-3, Dt.24:16) Only the incarnate God could mediate and propitiate God. Unto the Son he saith, Thy throne, O God, is for ever and ever: a sceptre of righteousness is the sceptre of thy kingdom. Thou hast loved righteousness, and hated iniquity; therefore God, even thy God, hath anointed thee with the oil of gladness above thy fellows. Heb.1:8-9
God is exact or precise in his judgments- Ex. 21:23-5, Lev. 24:19-21, Lev. 19:34-6, Deut. 17:8, 19:21, 21:5, Deut. 25:14-16, Prov. 20:10,23, 11:23, 16:11, Micah 6:11. Therefore the death of Christ must match the penalty for sin.
Therefore, the cup of wrath and fury was drunk by Jesus Christ on the cross when he was baptized unto death. What other cup was Jesus exceedingly sorrowful about drinking if not drinking of the wrath of the Almighty? (Psa.75:8, Job 21:20, Psa.89:46, Isa.51:17, 22, Jer.25:15, 17, 28)
• Atonement & The Symbolism of Baptism
Matt.20:22 But Jesus answered and said, Ye know not what ye ask. Are ye able to drink of the cup that I shall drink of, and to be baptized with the baptism that I am baptized with? They say unto him, We are able. v23 And he saith unto them, Ye shall drink indeed of my cup, and be baptized with the baptism that I am baptized with... (Also Mark 10:38-9, Luke 12:50) Compare Rom.6:3-6- when we were crucified with him and baptized unto death. Gal.2:20 Part of the sign of Jonah (Mt.12:40) was the swallowing up of judgment of the great floods- a baptism. (1 Pt.3:20-1) These are prophetically seen in the Psalms- 22:1,88:6-7,14-8,69:1-4,7-9,14-15,20-22.
Matt.26:39 And he went a little farther, and fell on his face, and prayed, saying, O my Father, if it be possible, let this cup pass from me: nevertheless not as I will, but as thou wilt. v42 He went away again the second time, and prayed, saying, O my Father, if this cup may not pass away from me, except I drink it, thy will be done. (Also Mark 14:36, Luke 22:42)
Rev.14:10 The same shall drink of the wine of the wrath of God, which is poured out without mixture into the cup of his indignation; and he shall be tormented with fire and brimstone in the presence of the holy angels, and in the presence of the Lamb:
16:19...and great Babylon came in remembrance before God, to give unto her the cup of the wine of the fierceness of his wrath.

What else would the burnt sacrifice point to if not Jesus? (Heb 13:11-12) “The fire shall ever be burning upon the altar; it shall never go out.” (Lev.6:13) Because the law worketh wrath. (Rom.4:15) God’s wrath upon his just substitute instead of his enemies. (Nah.1:2, Rom.5:8-10, Eph.2:1-4) “But the wicked shall perish, and the enemies of the Lord shall be as the fat of lambs: they shall consume; into smoke shall they consume away.” (Psa.37:20) “I will bring them down like lambs to the slaughter, like rams with he goats.”(Jer.51:40) “Is it nothing to you, all ye that pass by? behold, and see if there be any sorrow like unto my sorrow, which is done unto me, wherewith the Lord hath afflicted me in the day of his fierce anger. From above hath he sent fire into my bones, and it prevaileth against them:” Lam.1:12-3 (see Isa.34:2,6-10, Lev.6:13, Jer.46:10) For the Lord thy God is a consuming fire, even a jealous God. (Dt.4:24, Ezk.38:19,6:5, Heb.12:29) This is a figure in the consuming of the sacrifice in Lev.9:24 “And there came a fire out from before the Lord, and consumed upon the altar the burnt offering and the fat”. (2 Thes.1:7-9) The vengeance of eternal fire will fall from heaven upon the wicked. But Jesus Christ will be the one executing the wrath (Mt.3:11-12, Jn.5:22,27, Ac.17:31, Rv.5:5-6) because he absorbed this wrath on the cross. (Rom.14:9, Phil.2:6-11)
• God is Just