How do we know that one mole of an ideal gas occupies (exactly) 22.4 Liters? Why is it so precise a value? Many other constants/conversions in science have multiple decimal places, so why is this conversion terminated so soon?
Yes, I have googled it, and searched it up on StackExchange, and flipped though my chemistry textbook. I just want a nice clear explanation for the exact value of the the mol/liter conversion.
Finally, please don't use the ideal gas constant $\ce{R=8.314 J/K\cdot mol}$ to justify your answer, because we get $R$ by using this conversion fact.
Thank you for any information or insights!
EDIT: This has been suggested as a duplicate of What volume does one mole of an ideal gas occupy?, which does not answer my question because it derives the liter/mol conversion from the ideal gas constant.