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Vibrational degree of freedom for monoatomic gases

I read that, when the temperature of a gas becomes high enough, a third type of degree of freedom becomes accessible, viz. the vibrational degree of freedom. Also (at high temperatures) there is a ...
Apoorva Shukla's user avatar
0 votes
1 answer
758 views

Number of degrees of freedom for a gaseous mixture

I came across the formula to find the number of degrees of freedom in a gaseous mixture which is as follows: $$f_\mathrm{mix} =\frac{\sum n_if_i}{\sum n_i}$$ Now it has been mentioned in this lecture ...
reverseambition's user avatar
0 votes
1 answer
300 views

Does the ideal gas law apply to gases which consist of more than one atom?

In the derivation of the ideal gas law, one sets for the average kinetical energy $f = 3$ degrees of freedom. This refers to the transition in x,y,z axes. This is true for gases, which consist of only ...
Mad's user avatar
  • 361
1 vote
1 answer
201 views

Number of degrees of fredom in diatomic molecule model

In the book of Salinas the author says in chapter The Ideal Quantum Gas he says and I quote The classical models of a gas of diatomic molecules (a rigid rotator in three dimensions, or a rotator ...
user avatar
2 votes
1 answer
87 views

Kinetic theory of physics [closed]

$$E = (3/2) kT$$ For average kinetic energy of a molecule gas.The constant $k$ does not depend on the type of molecule. Can this result be true for both hydrogen and chlorine?
edison's user avatar
  • 21
6 votes
2 answers
13k views

Why energy at room temperature $= kT$ and not $(3/2)kT$ [duplicate]

I always see that a room temperature of $T=300\,\text{K}$ corresponds to an energy of $k_BT \approx \frac{1}{40}\,\text{eV}$. But shouldn't it be $\frac{3}{2}k_BT$ since the molecules in the air have ...
Varius's user avatar
  • 163
2 votes
1 answer
3k views

Why is molar specific heat at constant volume of a monatomic ideal gas a constant?

I thought specific heat varies depending on the substance. Why is it always $(3/2) R$?
user11629's user avatar
  • 143
4 votes
3 answers
6k views

$E=kT$ or $\frac32kT$?

Basically, which is the correct formula for thermal energy, and is this the same as kinetic energy? My notes are pretty conflicting on this topic, and I'm getting pretty confused.
joeramsay's user avatar
16 votes
7 answers
142k views

How to deduce $E=(3/2)kT$?

It says in my course notes for undergraduate environmental physics that a particle has so-called "kinetic energy" $$E=\frac{3}{2}kT=\frac{1}{2}mv^{2}$$ Where does this formula come from? What is $k$?...
Niklas Rosencrantz's user avatar