Private jet is a vague term. As long as you have bigger pockets, you can buy any aircraft(excluding some fighters) you want and use it. By mentioning private jets, if you have meant 5–12 seater type business jets, like the one depicted in the first picture, then the maximum service ceiling they can operate is about 53000 ft.

Concorde’s service ceiling was 60000ft. But is was tested to an altitude couple of thousand feet higher than that. That was the highest recorded service altitude for an aircraft with an air breathing engine.

But higher the altitude, less denser will be the ambient air whi…


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