We already have a carbon tax, you pay it when you buy the carbon. 3 cents per liter federally and an additional 18 cents per liter in California specifically.
This tax is only assessed on road transportation. It ignores aviation, industry, or any one of the other sources of carbon.
Some European countries have total taxes to the tune of 90+ cents per liter (50-60% tax) with current gas prices, for reference. (~65ct/l for the energy/carbon tax, specifically)
I don’t think that level is sufficient to cover the externalities.