Final answer:
The Rules Committee can set a time limit on the debate of a bill, but it does not have the power to appoint committee chairs, name presidential successors, or revise bills passed by other committees.
Step-by-step explanation:
The Rules Committee has a significant role in the legislative process of the U.S. House of Representatives. Among its powers, the Rules Committee can set a time limit on the debate of a bill before the full chamber. However, it does not have the authority to appoint people to chair other committees or name a successor if both the president and vice president are unable to serve, as these powers are not within its purview. Additionally, while the Rules Committee may influence the legislative process, it does not have the power to revise bills passed by other committees; its main function is to set the terms under which bills are debated on the House floor.