To find it, you'll need to:
1. Consult a repair manual specific to your 2001 Chevy S-10's engine. This is the most reliable method. The manual will have diagrams showing the exact location of all oxygen sensors. You can find these manuals online (often in PDF format) or at auto parts stores.
2. Use an online parts diagram: Many auto parts websites (like AutoZone, Advance Auto Parts, etc.) allow you to look up your vehicle's year, make, model, and engine, then view diagrams of the exhaust system. These diagrams often show the sensor locations.
General Guidance (but not guaranteed for your specific vehicle):
Bank 1 refers to the side of the engine that contains cylinder #1. Sensor 2 is the downstream sensor, meaning it's located *after* the catalytic converter on that side of the engine. It's usually further down the exhaust pipe than the upstream (Sensor 1) oxygen sensor.
Look for a threaded sensor, typically a cylindrical component with a wire harness attached. It screws into the exhaust pipe. Be cautious when handling it, as it can be hot after the engine has been running.
Without a specific repair manual or parts diagram for your exact engine, any other location guess is unreliable and could lead you to the wrong sensor. Use the resources mentioned above to pinpoint the correct location.