Question

1.)

a.)How many kinetic energy modes does a triatomic molecule have?

b.)Treating the molecule as one particle, how many translational kinetic energy terms does it have? what about rotational kinetic energy terms?

c.)How many vibrational kinetic energy modes can this molecule have, if the total number of kinetic energy modes is what you found in a.

d.)Count all vibrational modes. Categorize the modes into types of kinetic and potential energy modes

e.)Find the total number of modes for a gas of Na Triatomic molecules

Answer #1

a) A linear triatomic molecule (eg CO_{2}) has
total kinetic energy modes =
5

A non-linear triatomic molecule
(eg. O_{3}) has total kinetic energy modes = 6

b) A linear triatomic molecule has three translational and two rotational energy terms.

A non-linear triatomic molecule has three translation and three rotational energy terms.

c) For a linear molecule, vibration modes = 6N - 10 = 6(3) - 10 = 8

For a non-linear molecule, vibration modes = 6N-12 = 6(3) = 12 = 6

d) Vibrational modes in a tri-atomic molecule are:

i. Symmetric stretching

ii. Asymmetric stretching

iii. Scissoring (bending)

1)
a.)Does 1 atom have rotational modes?
b.)What is the MAX number of modes that one atom can have?
c.)Can a diatomic molecule have vibrational modes?if so, how
many? For each vibrational mode what types of energies are
present?
d.)Categorize the modes into types of kinetic and potential
energy modes

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of the hydrogen by 2.50°C.
Part A
How many modes does a single hydrogen gas molecule have? (Assume
the vibrational modes are "frozen out").
3, all rotational kinetic
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1.Determine the number of vibrational modes of NH3 and how many
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2.The 56FeH diatomic molecule absorbs infrared light at a 1661
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oscillator model to answer this question.

Suppose that 4.8 moles of an ideal diatomic gas has a
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10-26 kg and can move in three dimensions, rotate in two
dimensions, and vibrate in one dimension as the bond between the
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a) How...

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b) How many stretching vibrations does the molecule have, and what
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Dont forget to sketch the stretching nodes

A dorm room measures 3m x 3m x 2m, (a) how many air
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gas)
(b) What is the total translational KE of these
molecules? (hint:in an ideal gas, thermal energy
provide translational KE)
(c) How is this energy compared to the KE of a 2000kg
car going at 108km/h?

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(a) (1 point) Which gas has greater translational kinetic energy
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(b) (1 point) Which gas has greater rms speed?
(c) (1 point) Assuming you can only change one of the
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2 Equipartition The laws of statistical mechanics lead to a
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In thermal equilibrium, the average energy of every degree of
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Average kinetic energy of molecules
Measure of potential energy of molecules
Same thing as very high temperature
The specific heat of copper is 0.093 cal/g⁰C, and the specific
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A higher temperature for aluminum
The same temperature for each metal
Unknown results
The...

#1
How does kinetic molecular theory explain Dalton's law?
Select the correct answer below:
Question options:
Gas particles collide with the container with the same frequency
regardless of whether other gases are present.
Gas particles are different sizes and do not contribute equally to
the overall pressure, based on size.
Gas particles contribute to the overall pressure based on their
molar masses.
Gas particles have inelastic collisions, based on their individual
identity.
Question #2
How does kinetic molecular theory explain...

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