Did Jesus die for the sins of those who die in unbelief?

This is a most critical question. If Jesus died for the sins of those who die in unbelief, then Jesus' death for them was ineffective. Why? Because in the final analysis to die in unbelief is to perish, forever separated from God. If Jesus died for your sins, that means he paid your sin debt on the cross - He was punished for your sins. That means your sins can never be counted against you, ever! That is wonderful news.

The common belief is Jesus died for the sins of the whole world, without exception ( I John 2:2). Even those who go to hell. I have mentioned this before, what good is an atonement that does not save the sinner? It is only a potential or virtual atonement where the person is potentially savable if he or she has the willingness to believe.

God is not going to leave it up to us to determine if His plan of salvation is effective or not. In other words, He did not send Jesus to the earth to die the most horrible and tragic death ever and leave the final decision to man to cast the deciding vote - that is say yes to the call of gospel and actualize salvation. God is the one who ultimately determines who is saved and who is not. 

Those who God chose before the world was created according to Ephesians 1:4 are the ones who will be given the willingness by God to believe and be saved once they hear the gospel message.

Jesus did not die (in the same way or salvifically) for the sins of those who die in unbelief. A person who dies in unbelief did not have any of their sins forgiven. How do I know that? If you say that all their sins were forgiven except unbelief, then one has to admit that Jesus did not die for all sin. One would also have to say that unbelief is not a sin which is untrue. Why would Jesus leave the sin of unbelief out?  

Answer? He did not. For those who are His sheep, He died for every one of their sins including the sin of unbelief. This frees those whom God chose to believe. God gives them the right to believe in the name of Jesus (John 1:12-13). 

It is important to realize that not a drop of Jesus' blood was spilled in vain. In other words, Jesus did not die and shed His precious blood for those who would never believe. Jesus said this to the Pharisees, "The reason you do not believe in Me because you are not my sheep" (John 10:26).  Translation, those who do not believe in the Son do not belong to Him. When Jesus died it was a one hundred percent effective atonement. He did not just die for people and hoped they would believe. He literally saved His people from their sins (Matthew 1:21)