(a) Use the result of 42.40 to calculate the equilibrium

Chapter 42, Problem 42.41

(choose chapter or problem)

(a) Use the result of Problem 42.40 to calculate the equilibrium separation of the atoms in an HCl molecule. The mass of a chlorine atom is \(5.81 \times 10^{-26} \mathrm{\ kg}\), and the mass of a hydrogen atom is \(1.67 \times 10^{-27} \mathrm{\ kg}\) (b) The value of l changes by \(\pm 1\) in rotational transitions. What is the value of l for the upper level of the transition that gives rise to each of the wavelengths listed in Problem 42.40? (c) What is the longest-wavelength line in the rotational spectrum of HCl? (d) Calculate the wavelengths of the emitted light for the corresponding transitions in the deuterium chloride (DCl) molecule. In this molecule the hydrogen atom in HCl is replaced by an atom of deuterium, an isotope of hydrogen with a mass of \(3.34 \times 10^{-27} \mathrm{\ kg}\). Assume that the equilibrium separation between the atoms is the same as for HCl.