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Chapter 6: Q.6.25 (page 237)

The analysis of this section applies also to liner polyatomic molecules, for which no rotation about the axis of symmetry is possible. An example is CO2, with 鈭�=0.000049eV. Estimate the rotational partition function for a CO2molecule at room temperature. (Note that the arrangement of the atoms isOCO, and the two oxygen atoms are identical.)

Short Answer

Expert verified

The rotational partition function for a CO2molecule at room temperature is localid="1649329748565" 264.

Step by step solution

01

Step 1. Given Information 

We are given aCO2molecule at room temperature.

02

Step 2. Rotational partition function  

The arrangement of the atoms in CO2molecule is same as that of the oxygen atoms,

Zrot=kT2蔚

Substituting the values, we get

Zrot=kT2蔚=(8.617脳10-5eV)(300K)2(0.000049eV)=263.78

Rounding off to three significant figures, the rotational partition function at room temperature is 264.

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