An ideal gas consistsof molecules, each molecule being a linear chain of four atoms. If this gas is heated up to a temperature at which all degrees of freedom, including vibrational, are excited, the molar specific heat of such a gas at constant volume will be (include vibrational degrees also)

An ideal gas consistsof molecules, each molecule being a linear chain

1.	An ideal gas consistsof molecules, each molecule being a linear chain of four atoms. If this gas is heated up to a temperature at which all degrees of freedom, including vibrational, are excited, the molar specific heat of such a gas at constant volume will be (include vibrational degrees also)
Answer» `(19R)/(2)` `(15R)/(2)` `6R` `9R` Solution :A molecule with linear chain of four atoms will have (i) three translational DEGREES of freedom, (ii) `(2xx4)=8` rotational degrees of freedom and (iii) `(2xx4)=8` VIBRATIONAL degree of freedom. (Note : Rotation axes PASS through each atom PERPENDICULAR to linear chain, and vibration can occur for each atom in a plane perpendicular to linear chain). HENCE total number of degrees of freedom = `3+8+8=19`. Hence, molar specific heat at constant volume = `19R//2`.

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An ideal gas consistsof molecules, each molecule being a linear chain of four atoms. If this gas is heated up to a temperature at which all degrees of freedom, including vibrational, are excited, the molar specific heat of such a gas at constant volume will be (include vibrational degrees also)

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