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Does a man’s sin separate him from a Holy God, and as a natural consequence is it understood that sinners are condemned to go to Hell?

Bible: Yes Qur'an: Yes

Ezekiel 18:4 & 20 – 4. the soul that sinneth, it shall die. 18. The soul that sinneth, it shall die.

Luke 12:5 – Fear him who, after he hath killed, hath power to cast into hell; yea... Fear him.

Revelation 20:13—15 – 13. And they were judged every man according to their works. 14. And death and hades were cast into the lake of fire... 15. And whosoever was not found written in the book of life was cast into the lake of fire.

Al-A’raf 7:41 – Theirs will be a bed of Hell, and over them coverings (of Hell). Thus do we requite the wrongdoers.

Yunus 10:27 – As for those who have acquired evil deeds... They are the owners of the Fire, dwelling in it forever.