Question

Relative to other lines in a rotational absorption spectrum, the intensity of any given line depends primarily rotational level from which the transition originates. on the size of the population in the In a rotational spectrum of gaseous HCl the most intense absorption line originates in the level for which rotational quantum number J = 3. At what temperature was the spectrum measured ? [Given: Ztran V(2xmKT)3/2/h3; Zrot = 8n2IKT/h2; Zvib-exp(-hv/2KT)/[ 1 -exp(-hv/KT)] ; Erot=j (j + 1 ) h2/8721; Evib(n+1/2)hv; the moment of inertial of HCl I-2.65E-40gm- cm2; Plank constant h=6.6237x1034 joule-sec]

Answer 1

Ansuc G: iven Data aITmk tan cxp(-hw2T-exp(-hwk Zvib Cnt2)hv 2.65E -409m-cm2 h. G. 623X10 3 Toulse At wha temperature was the specthum mcasurcd Nou Caleula total esative populaion at on Popudation p)d C3) ap(-siko)

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dp : Jm -0 di hee KT ahtв -Чо 2.65 10 -40 and h 8xTx2. 6s 1x3x1

G. 24구068399X1637 oss.746 Nou heB Temperatere T : ak 시0S5.구4구6 x38X123 6.99610 -23 2.534 X 10 372. 니98 k