To determine the controller actions, note that all valves are air-to-open (A TO), meaning more controller output → valve opens. Controller action depends on whether an increase in process variable (PV) should increase or decrease controller output.
Pressure Controller (PC):
The steam line pressure is regulated by PC. If pressure rises above setpoint, the valve must open more (to release more steam). This requires controller output to increase. Therefore, PV ↑ → Output ↑, which corresponds to Direct Action.
Level Controller (LC):
LC controls the BFW valve. If boiler water level increases above setpoint, the inlet BFW valve must close (output must decrease). Thus PV ↑ → Output ↓, meaning Reverse Action.
Temperature Controller (TC):
TC adjusts reactor jacket flow. If reactor temperature increases, jacket cooling flow should increase (valve should open, controller output increases). Hence PV ↑ → Output ↑. But since the valve is air-to-open, an increase in controller output opens the valve. This makes the controller action Reverse (temperature controllers in cooling systems typically operate reverse).
Therefore, the correct set of actions is:
PC → Direct
LC → Reverse
TC → Reverse
Final Answer: (C) PC: Direct, LC: Reverse, TC: Reverse