I need some help on this problem from Physics (8th) cutnell. It ischapter 14 pro

Question

I need some help on this problem from Physics (8th) cutnell. It ischapter 14 problem 29. It reads as follows:

-InteractiveSolution 14.29 offers one approach to this problem. Oneassumption of the ideal gas law is that the atoms or moleculesthemselves occupy a negligible volume. Verify that this assumptionis reasonable by considering gaseous xenon (Xe). Xenon has anatomic radius of 2.0 x 10-10 m. For STP conditions,calculate the percentage of the total volume occupied by the atoms.Express your answer as a percentage with no units.

Explanation / Answer

    the total volume Vgas that the gasoccupies is given by the ideal gas law as     Vgas= n R T / P     where the temperature and pressure at STPconditions are 273 K and 1.01 x 105 Pa     so we get the desired percentage as     % = (Vatoms / Vgas)100         = [(4 / 3) r3 n NA / (n R T / P)] 100         = ..........

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