(1) Consider 1 mol of an ideal gas at 300 K and 1 atm pressure. Imagine that the molecules are, for the most part, evenly spaced at the centers of identical cubes. Using Avogadro's constant and taking the diameter of a molecule to be 3 x 10-8 cm, find the length of an edge of such a cube and calculate the ratio of this length to the diameter of a molecule. The edge length is an estimate of the distance between molecules in the gas. (2) Now consider a mole of water having a volume of 18 cm³. Again, imagine the molecules to be evenly spaced at the centers of identical cubes and repeat the calculation in (a).

(1) Consider 1 mol of an ideal gas at 300 K and 1 atm pressure. Imagine that the molecules are, for the most part, evenly spaced at the centers of identical cubes. Using Avogadro's constant and taking the diameter of a molecule to be 3 x 10-8 cm, find the length of an edge of such a cube and calculate the ratio of this length to the diameter of a molecule. The edge length is an estimate of the distance between molecules in the gas. (2) Now consider a mole of water having a volume of 18 cm³. Again, imagine the molecules to be evenly spaced at the centers of identical cubes and repeat the calculation in (a).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 40PQ: On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is...

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