Question

The diameter of a H2 molecule is about 2.5 Å. For H2 gas at 0o C and 1 atm, calculate the following. Assume ideal gas. (Note: For the equations that I gave you in class, σ is the diameter. For the equations in the text, the symbol σ is used for the collision cross-section, equal to 4πr 2 , where r is the radius of the molecule. If you decide to use the equations in textbook rather than the ones from the notes, please make sure that you calculate the collision cross-section from the diameter given in the problem.)

(a) Root-mean-square velocity

(b) Average translational energy per mole of H2 molecules

(c) Number of H2 molecules in 1 cm3 of the gas (Hint: Use the ideal gas law.)

(d) Mean free path

(e) Number of collisions each H2 molecule undergoes per second

Answer #1

The collision diameter, d, of an H2 molecule is about 0.25 nm =
2.5 * 10^-10 m. For H2 gas at 0 degrees celsius and 1 bar,
calculate the following:
a. Root-mean-square velocity
b. The translational kinetic energy of 1 mol of H2 molecules
c. The number of H2 molecules in 1 mL of the gas
d. The mean free path
e. The number of collisions each H2 molecule undergoes in 1
s
f. The total number of intermolecular collisions...

Calculate the collision frequency
for H2 at STP (use a collision diameter of 2.5 Å).

(a) The density of the interstellar gas, mainly hydrogen (2
g/mol), is approximately one molecule (2 g/mol).
per cubic centimeter. If the molar diameter is 10-10 m, what is the
average free path? What is the
the collision frequency for a hydrogen molecule if the temperature
is 3 K?
(b) It has been seen that for diffusion, the distance travelled
by a molecule is proportional to the root of the molecule.
square of the number n of collisions, i.e. the...

If the number of moles of an ideal gas in a firm container
doubles while volume and temperature remain constant …
a. pressure doubles
b. pressure quadruple
c. pressure remains constant
d. pressure is reduced to half
e. pressure is reduced to a quarter
a
b
c
d
e
incorrect
IncorrectQuestion 2
0 / 1 pts
There are 3 balloons sitting next to each other, each of a
different size. What is in the biggest...

2 Equipartition The laws of statistical mechanics lead to a
surprising, simple, and useful result — the Equipartition Theorem.
In thermal equilibrium, the average energy of every degree of
freedom is the same: hEi = 1 /2 kBT. A degree of freedom is a way
in which the system can move or store energy. (In this expression
and what follows, h· · ·i means the average of the quantity in
brackets.) One consequence of this is the physicists’ form of...

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