What's the piece of technology that has impacted the modern world the most?
If you ask me? Mobile/WiFi internet... The way and amount of time we use our phones had changed A LOT since their diffusion. I guess the release of the iPhone changed our idea of what a phone is too
Edit: when I say modern world I'm referring to the last 50 years. So stuff like "the electricity" or "the telephone" doesn't count.
One of the guys who invented the process for large scale production was Fritz Haber, to make explosives and chemical weapons. He's also responsible for using chlorine gas on the battlefield in WW1. His wife was a chemist and an activist, who shot herself in the heart after learning about his involvement. Haber left within days for the Eastern Front to oversee gas release against the Russian Army.
He ended up saving more lives than he destroyed, but what a story.
It depends on what you mean by piece of technology I guess, since what we have now is a culmination of thousands of awesome tech over the last few hundred years.
If I were to choose one thing, I'd say the telephone. It's the predecessor to the internet, and suddenly communication between people was instant rather than messages that'd take forever (or morse for the places that had it).
It probably changed the world forever, being able to talk to someone in a completely different country and share something quickly.
Their discovery and development is what has directly enabled our sudden rise from 2B to 8B humans in only about a century. Without antibiotics, we would likely still be under 3B humans world-wide. Yes, disease really did kill off a lot of humans back in the day.
Graph out the human population over the last two centuries, and you can even see the very decade when Penicillin use became widespread, along with doctors washing their hands and other basic hygiene tasks.
I would say the Internet as well. It has dramatically shaped how we interact with the world and has made a lot of information more accessible.
There are probably better overall answers like farming, the printing press, vaccines, transistors, and fertilizer but I feel like a lot of them are if we didn't have X we wouldn't have Y situations.
Cars shaped city planning, housing and by consequence our lifestyle, making us more dependent on them to get through your day. You can see it expecially in European cities that were built in medieval/reinassance times: if you live and work in the older parts you can totally do without a car. If you move a few kilometers out, not having one becomes a real handicap
In many parts of the world, though, I wouldn't say cars per se, but definitely public transportation. A lot of people can't afford cars in the world, and they still benefit from the invention of the internal combustion engine.
The best guesses right now is that our ability to use fire--and eventually create fire--allowed us to evolve the brains that we have now, because cooking food significantly decreases the energy needed to process it, which allows more energy to be used by your brain. And our brain burns a lot of calories. Cooking food is essentially a preliminary digestion process. Without our brain, the modern world as we know it never exists. Hell, we never even evolve past troops of apes.
The nuclear bomb. Even before we nuke ourselves into extinction, it has had a profound impact on geopolitics. Imagine the huge conventional wars we could have had!