Naomi@The verse you quote in John 8 v 11 is spurious and not part of the actual inspired text.
As mentioned previously, the Hebrew meaning of the word "sin" is - missing the mark of imperfection.
Topic: Sin (Noun and Verb)
is, lit., "a missing of the mark," but this etymological meaning is largely lost sight of in the NT. It is the most comprehensive term for moral obliquity. It is used of "sin" as (a) a principle or source of action, or an inward element producing acts, e.g., Rom. 3:9; 5:12,13,20; 6:1,2; 7:7 (abstract for concrete); 7:8 (twice),9,11,13, "sin, that it might be shown to be sin," i.e., "sin became death to me, that it might be exposed in its heinous character:" in the clause, "sin might become exceeding sinful," i.e., through the holiness of the Law, the true nature of sin was designed to be manifested to the conscience;
(Taken from Vines Expository of Bible words)
Romans 6 v 23 - Yes, we die because of Adam's "sin". Had he not rebelled then he would have remained perfect, lived forever and never died and we would not be here today! Therefore, the wages, or payment, for that act of Adam's is that we all die.
Through the ransom sacrifice of Jesus Christ - a perfect man - he bought back (or paid the ransom) for what Adam lost. Which is way Jesus said, "I am the way, the truth & the life" - John 14 v 6.