Did Jesus Suffer the Wrath of the Father for All Sinners, or Just the Elect?

Limited atonement laid out: Did Jesus Suffer the Wrath of the Father for All Sinners, or Just the Elect? by R.C. Sproul Jr. | Ligonier Ministries Blog:

There is a third serious problem with the notion that Jesus died for all sins of all people. Hell. If Jesus atoned for all sins, just for what are the sinners in hell suffering? Those who seek to “protect” God’s integrity by arguing He must treat us all the same end up, accidentally, affirming that God punishes the same sins twice, once on Calvary and again in hell. Some might object in turn that the sinners in hell are being punished for their unbelief. But that too is a sin, and thus would have already been punished. If all sins have been atoned for, they can’t be punished.