I'm sad to say that I don't think you've thought this one all the way through. I'm going to try to get you to think about each step, and see if you know, or can learn, what you really mean to do.
I am going to make a project about smoke
Awesome.
turning it to liquid
OK. Now the idea begins to break-down. Look up the definition of "smoke" -- what is it? If you think its a gas, you are wrong, simply put. So the "turning it to liquid" is just nonsense. You don't even back it up with some other ideas on how to accomplish it.
and i am going to use the concept about smoke liquid
I suspect we may have entered a murky realm of idiomatic expressions between different languages, so my comments here may not apply. However, "concept about smoke liquid" means essentially nothing as I understand written English. Consider this: "pure water has a boiling point of 100 °C." That is a rational English statement regarding a physical property of a chemical substance. If I said, "the concept of liquid water", what would that mean to you?
but the product is used for flavoring
Hmm... now I have heard of "liquid smoke", but that's water with flavorings added that resembles the flavors from smoky outdoor cooking. "Liquid smoke" being a cute name for a product, not a pure substance or a reasonably defined mixture. And its made of other things besides smoke, the name notwithstanding.
Any ideas how to purify it and remove the flavor in a simple way
And I've lost track of what you're saying again. Purify what and get what? The flavor goes one way, the water goes another way and you want a handful of smoke "stuff". Or maybe you mean something different?