[3 pts] Vibration-rotation transition in the infrared spectrum of HCl gas are observed at 2841.42, 2843.33,2862.26,2864.79,2903.96,2905.96,2924.10 and 2925.60cm1. The spectrum in Figure 5 only shows some of the labeled peaks. (a) Assign the observed lines to P and R-branch vibration-rotation transitions in either 1H35Cl or 1H37Cl. Explain your reasoning. Hint: Remember the selection rules for rotation! (b) Approximately, what is the position of the Q branch? Show your calculation. Figure 5: Scheme showing transitions between rotational-vibrational states in HCl and the resulting Infrared spectrum. Note the P and R branches