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Based on principle of equipartition of energy, the molar heat capacity of CO2 at constant volume is Cv,m is xR. The value of ‘x’is__? (rounded up to first decimal place):
Correct answer is '6.5'. Can you explain this answer?
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Based on principle of equipartition of energy, the molar heat capacity...
X is 5/2.
The principle of equipartition of energy states that each degree of freedom in a molecule has an average energy of (1/2)kT, where k is the Boltzmann constant and T is the temperature. For a diatomic molecule like CO2, there are five degrees of freedom: three translational degrees of freedom and two rotational degrees of freedom.
At constant volume, there is no contribution from the vibrational degrees of freedom, so the molar heat capacity Cv,m is given by:
Cv,m = (5/2)R
where R is the gas constant. Therefore, x = 5/2.
The principle of equipartition of energy states that each degree of freedom in a molecule has an average energy of (1/2)kT, where k is the Boltzmann constant and T is the temperature. For a diatomic molecule like CO2, there are five degrees of freedom: three translational degrees of freedom and two rotational degrees of freedom.
At constant volume, there is no contribution from the vibrational degrees of freedom, so the molar heat capacity Cv,m is given by:
Cv,m = (5/2)R
where R is the gas constant. Therefore, x = 5/2.
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