Final answer:
A separately dedicated part of a church for private prayer or small religious services is known as a chantry chapel, a space for praying with the intention of shortening one's time in purgatory.
Step-by-step explanation:
A separately dedicated part of a church for private prayer, meditation, or small religious services is known as a chantry chapel. This space, often found in churches, is devoted to praying for an individual or a family, with the hopes of shortening their time in purgatory. These chapels can be quite ornate and are separate from the main areas of the church like the nave, sanctuary, and aisles.