Question

1. Estimate the following for a nitrogen molecule. The diameter of a nitrogen molecule is approximately 0.300 nm.

Estimate the mean free path of a nitrogenmolecule in air at the
top of Mt. Everest (altitude = 8.80 km, *P* ≈ 50.0 kPa, and
*T* ≈ 238 K). Value of Boltzmann's constant is
1.381×10^{−23} J/K (answer is in nm)

3. A tank of compressed air of volume 1.00 m^{3} is
pressurized to 27.0 atm at *T* = 273 K. A valve is opened,
and air is released until the pressure in the tank is 13.4 atm. How
many molecules were released? Boltzmann constant is 1.38 ×
10^{−23} J/K.

Answer #1

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7. A nitrogen molecule has a diameter of about 0.29 nm. The mean
free path of a nitrogen molecule in a tank of dry nitrogen at room
temperature (293 K) and standard pressure (1 atm) is about 0.10 µm.
A tank containing nitrogen at standard temperature (273 K) and
pressure has volume V. If the tank is compressed by means of a
piston to 20% of its original volume, what is the mean free path
for a nitrogen molecule under...

1-
A) A gas bottle contains 7.15×1023 Nitrogen molecules
at a temperature of 342.0 K. What is the thermal energy of the gas?
(You might need to know Boltzmann's constant: kB =
1.38×10-23 J/K.)
B) How much energy is stored in ONE degree of freedom for the
whole system?
C) What is the average energy of a single molecule?
D) On average how much energy is stored by ONE degree of freedom
for ONE single molecule?

A gas bottle contains 6.56×1023 Nitrogen molecules at
a temperature of 375.0 K. What is the thermal energy of the gas?
(You might need to know Boltzmann's constant: kB =
1.38×10-23 J/K.)
How much energy is stored in ONE degree of freedom for the whole
system?
What is the average energy of a single molecule?
On average how much energy is stored by ONE degree of freedom
for ONE single molecule?

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