7.1 According to quantum mechanics, the molecules of a diatomic gas possess rotational energy levels (where I

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7.1 According to quantum mechanics, the molecules of a diatomic gas possess rotational energy levels

(where I is a constant), the level εr being (2r+ l)-fold degenerate. Write down an expression for the partition function of the rotational motion. Hence find the molar rotational heat capacity of the gas: (i) at low temperatures, (ii) at high temperatures.

For carbon monoxide (CO) the constant I has the value 1.3 x 10–39gcm2. What is the molar rotational heat capacity of carbon monoxide at room temperature?

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