Final answer:
The 13/14 Gracey curette is the most appropriate for root planing of a 5mm deep pocket on the distal surface of tooth 1.7, as it is designed for distal surfaces of posterior teeth.
Step-by-step explanation:
The Gracey curette best suited for root planing of a 5mm deep pocket located on the distal surface of tooth 1.7 is the 13/14 Gracey curette. Each Gracey curette is designed for specific tooth surfaces and pocket depths. The Gracey 13/14 is specifically designed for the distal surfaces of posterior teeth, which includes the distal surface of tooth 1.7. Its angled blade allows for better adaptation to the distal surfaces for more effective root planing.