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How many degrees of freedom do non linear triatomic gas molecules has?
A triatomic nonlinear gaseous atom has 6 degrees of freedom, that are 3 in all transrational directions and three rotational barriers in all the three axises.
If a gas has n degree of freedom, ratio of principal specific heats of the gas is
Let us consider 1 mole of an ideal gas at kelvin temperature T. It has N molecules (Avogadro's number). The internal energy of an ideal gas is entirely kinetic. The average KE per molecule of a ideal gas is ½ nkT (k is boltzman constant), where n is degree of freedom. Therefore, the internal energy of one mole of a gas would be
E=N(1/2nKT)=1/2nRT (∵k=R/N)
Now, C_{v}=dE/dT=n/2 R
and Cp=n/2 R+R=(n/2+1)R
C_{p}/ C_{v} =(n/2+1)R/n/2=(1+2/n)
O_{2 }is a __________ molecule , and has __________ translational degrees of freedom
Oxygen molecule is a diatomic molecule and has 3 translational and 2 rotational degrees of freedom,
The total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to ½ k_{B}T. This is known as the law of equipartition of energy.
For monoatomic gas degrees of freedom are 3, while for diatomic gas is it 5, and for triatomic gas it is 7.
1 calorie = 4.184 joules. That is the conversion rate, no explanation.
Degrees of freedom are the ways in which a molecule of the gas can execute motion.
So in case of triatomic gas molecule:
1. It can translate (move) in all 3 dimensions, which accounts for 3 degrees of freedom (since there are 3 dimensions in which it could translate (move)).
2. This molecule can also revolve with Moment of Inertia ≠ 0 around all three axes, x, y, and z, which accounts for another 3 degrees of freedom (since there are 3 axes of rotation).
On which of the following factors, does the average kinetic energy of gas molecules depend?
The average K.E. of gas molecules depends only on the absolute temperature of the gas and is directly proportional to it.
The average distance a molecule can travel without colliding is called
The mean free path is the average distance travelled by a molecule between two successive collisions.
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124 videos464 docs210 tests
