What does it mean that Christ's sacrifice purges the conscience?

Hebrews 9:14 highlights that the blood of Christ purges our consciences from dead works, enabling us to serve the living God. Sin brings guilt and fear, but the atoning sacrifice of Jesus cleanses these burdens, leaving us with confidence before God. This cleansing is vital for proper worship and service, as it removes the barriers created by sin. The sacrificial system of the Old Covenant could not address the conscience effectively, whereas Christ's sacrifice genuinely alleviates the guilt and shame associated with sin, allowing us to approach God freely.