2000 Chevy S-10 engine falt codes

Condition
Some customers may comment on the SES/MIL light being illuminated. Upon investigation, the technician may find a DTC P0410 indicating that there is a concern in the secondary air injection system.
Cause
Water may have collected in the AIR pump or the vent solenoid and frozen or corroded the pump.
Correction
Replace the AIR pump and install a new inlet hose and solenoid tube assembly using the following procedure:
Raise the vehicle on a hoist.
Remove the shield covering the AIR pump.
Remove the hose and vacuum lines from the pump and solenoid.
Remove the AIR pump inlet hose. Do not re-use the hose.
Disconnect the electrical connectors from the pump and solenoid.
Remove the pump mounting bolts and pump.
Transfer the isolators from the old pump to the new pump.
Install the new AIR pump and bolts to the vehicle.
Tighten: Tighten the bolts to 17 N.M (12.5 lb ft).
Route the new hose assembly up between the engine and fender. The hose should come up near the area between the battery and the coolant bottle.
Connect the new inlet hose to the pump inlet.
Connect the old outlet hose to the pump outlet.
Connect the electrical connector to the pump.
Connect the electrical connector for the solenoid to the connector on the new hose assembly.
Connect the hose with the white nipple to the vacuum source hose.
Connect the remaining hose to the shut off valve.
Install the shield covering the AIR pump.
Lower the vehicle.
Remove the coolant reservoir nut nearest the battery.
Route the new hose assembly between the battery and the coolant reservoir with the solenoid on top.
Install the solenoid bracket onto the coolant reservoir stud and reinstall the nut back into the vehicle.
Use a wire tie to keep the new hose assembly away from the engine. On four cylinder engines, tie to the AIR outlet hose. On six cylinder engines, tie to an available hole in the radiator fan shroud.