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Degree Of Freedom MCQ - Practice Questions with Answers
Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET
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13 Questions around this concept.
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A mixture of 1 moles of oxygen and 3 moles of argon at temperature. considering only traditional and rotational moles, the total internal Energy of the system is. (Take Temperate = T )
A mixture of gas consists of 4 moles of oxygen and 6 moles of argon at temperature T. Consisting only of rotation and translation modes, the total internal energy of the system is.
The kinetic interpretation of temperature is a fundamental concept in statistical mechanics. Consider two different gases, Gas A and Gas B, at the same temperature. Gas A consists of molecules with twice the mass of those in Gas B. Compare the average kinetic energies of molecules in Gas A and Gas B.
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Each atom of mass m of a monoatomic gas has got three degree of freedom. The rms velocity of these atoms is at a temperature T, which has got five degrees of freedom, rms velocity of molecule is
In a crude model of a rotating diatomic molecule of chlorine, the two chlorine atoms are apart and rotate about their
center of mass with angular speed . What is the rotational kinetic energy of one molecule of Cl2 which has a molar mass of 70g/mol?
If the density of a gas at is
and the velocity of sound is
the number of degrees of freedom of gas molecules is -
The total number of degrees of freedom of a rigid diatomic molecule is -
of a monatomic gas is mixed with
of a diatomic 8 as. Find out the value of
of the mixture.
The average degree of freedom per molecule for a gas is 6. The gas performs when it expands at constant pressure. The heat absorbed by gas is -
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Degree of Freedom
Degree of freedom-
The degree of freedom of systems is defined as the possible independent motions, systems can have.
Or
The degree of freedom of systems is defined as the number of independent coordinates required to describe the system completely.
The independent motions can be translational, rotational or vibrational or any combination of these.
So the degree of freedom is of three types :
(i) Translational degree of freedom
(ii) Rotational degree of freedom
(iii) Vibrational degree of freedom
The degree of freedom is denoted by .
And it is given by
Where
- Value of degree of freedom for
1.Monoatomic gas-
A monoatomic gas can only have a translational degree of freedom.
I.e
Example- He, Ne, Ar
2. Diatomic gas
A diatomic gas can have three translational degrees of freedom and two rotational degrees of freedom.
I.e
Example- H2 , O2 , N2
3. Triatomic gas
A triatomic gas can have three translational degrees of freedom and three rotational degrees of freedom.
I.e
Example- H2O
- Note-
The above degrees of freedom are shown at room temperature. Further at high temperature, in the case of diatomic or polyatomic molecules,
the atoms within the molecule may also vibrate with respect to each other. In such cases, the molecule will have 2 additional degrees of freedom, due to vibrational motion. I.e One for the potential energy and one for the kinetic energy of vibration.
So A diatomic molecule that is free to vibrate (in addition to translation and rotation) will have 7 degrees of freedom.
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