Answer
The rope tension is 25 N and the chain tension is 50 N.
Work Step by Step
The acceleration is zero for each weight. For each 25.0-N weight, the force up (the rope tension) equals the 25.0 N force downward. The tension is 25.0 N, and is the same at all points along the rope.
The acceleration is zero for the pulley. The force up (the chain tension) equals the force downward, which is two 25.0-N forces. The chain tension is 50.0 N, and is the same at all points along the chain.