How does Christ's blood cleanse our conscience?

The cleansing of our conscience through Christ's blood is a significant aspect of the believer's experience. Hebrews 9:14 explains that Christ, through His eternal Spirit, offers Himself to God to purge consciences from dead works so that we may serve the living God. This indicates that His sacrifice not only atones for sin but also frees us from the guilt associated with it. When God applies the blood of Christ to a believer, they are liberated from the bondage of sin and guilt, resulting in a joyful and effective service to God, as they are no longer burdened by their past transgressions.