Consider 9.00 mol of liquid water. A) What volume is occupied by this amount of
ID: 1474232 • Letter: C
Question
Consider 9.00 mol of liquid water.
A) What volume is occupied by this amount of water? The molar mass of water is 18.0
g/mol.
B) Imagine the molecules to be, on average, uniformly spaced, with each molecule at the center of a small cube. What is the length of an edge of each small cube if adjacent cubes touch but don't overlap?
C) How does this distance compare with the diameter of a molecule?
How does this distance compare with the diameter of a molecule?
The distance is far larger than the diameter The distance is smaller They are comparableExplanation / Answer
The mass 9.00 gram of water is 9.00 x 18 gram = 162 gram
Since the density is 1.00 g/cm3 by definition, the volume of this water is 162 cm3.
9.00 moles contains 9.00 x 6.01 E 23 molecules = 5.40 E 24 molecules.
So each molecule needs 162 cm3 / 5.40 E 24 space =3*10^24
So their average distance is the third root of it, being 31 nanometer. I do not know the size of a water molecule. It should be a little be less then 31 nm.
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