Let’s look at some Scriptures that speak about how Christ identified Himself with the human race and expiated its guilt.
Since the children have flesh and blood, he too shared in their humanity so that by his death he might destroy him who holds the power of death—that is, the devil—and free those who all their lives were held in slavery by their fear of death. (Hebrews 2:14–15 niv)
When Adam rebelled, instead of being a king, he became a slave—bound by Satan, death, and corruption. He was no longer free. But in order to deliver human beings from that slavery, Jesus took upon Himself the form of humanity, the Adamic nature. He took upon Himself the same flesh and blood that you and I have so that by His death, He might destroy the one who holds the power of death—that is, the devil—and free all those of us who all our lives were held in slavery by the fear of death. On the cross, Jesus took upon Himself the fallen nature of human beings and their sins. This is also stated in 1 Peter 2:24: “He himself [Jesus] bore our sins in his body on the tree, so that we might die to sins and live for righteousness; by his wounds you have been healed” (niv).
On the cross, Jesus became completely identified with our sin and our guilt. He became the last great guilt offering that took away the sin and guilt of the human race. He bore our sin and our punishment. Our wounds became His wounds, and He died our deaths. He expiated that guilt of rebellion as our representative, the last Adam, hanging on the cross, shedding His lifeblood, giving Himself totally to redeem us.