Answered: Consider an ideal gas at 27C and 1.00… | bartleby

Related questions

Question

Consider an
ideal gas at 27C and 1.00 atm. To get some idea how close these molecules
are to each other, on the average, imagine them to be uniformly
spaced, with each molecule at the center of a small cube. (a) What is the
length of an edge of each cube if adjacent cubes touch but do not overlap?
(b) How does this distance compare with the diameter of a typical
molecule?
(c) How does their separation compare with the spacing of
atoms in solids, which typically are about 0.3 nm apart?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

(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).
Interstellar space is quite different from the gaseous environments we commonly encounter on Earth. For instance, a typical density of the medium is about 1 atom cm−3 and that atom is typically H; the effective temperature due to stellar background radiation is about 10 kK. Estimate the diffusion coefficient and thermal conductivity of H under these conditions. Compare your answers with the values for gases under typical terrestrial conditions. Comment: Energy is in fact transferred much more effectively by radiation.
In a vacuum chamber designed for surface-science experiments, the pressure of residual gas is kept as low as possible so that surfaces can be kept clean. The coverage of a surface by a single monolayer requires about 10 19 atoms per m². What pressure would be needed to deposit less than one monolayer per hour from residual gas? You may assume that if a molecule hits the surface, it sticks.