Hebrews 9:12-14 Neither by the blood of goats and calves, but by his own blood he entered in once into the holy place, having obtained eternal redemption for us. For if the blood of bulls and of goats, and the ashes of an heifer sprinkling the unclean, sanctifieth to the purifying of the flesh: How much more shall the blood of Christ, who through the eternal Spirit offered himself without spot to God, purge your conscience from dead works to serve the living God?
1 John 1:7 But if we walk in the light, as he is in the light, we have fellowship one with another, and the blood of Jesus Christ his Son cleanseth us from all sin.
Ephesians 2:13 But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ.
Here is another good hymn post from Stephanie at The Enchanting Rose.
No blood, no altar now,
The sacrifice is o’er!
No flame, no smoke ascends on high,
The Lamb is slain no more,
But richer blood has flowed from nobler veins,
To purge the soul from guilt, and cleanse the reddest stains.
We thank Thee for the blood,
The blood of Christ, Thy Son:
The blood by which our peace is made,
Our victory is won:
Great victory o'er hell, and sin and woe
That needs no second fight, and leaves no second foe.
Excerpt from hymn by Horatius Bonar