Question
Does the absorption spectrum of the diatomic molecule HCl depend on the isotope of chlorine contained in the molecule? Explain your reasoning.
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These energy levels are influenced by the mass of the atoms in the molecule and the strength of the bonds between them. Show more…
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Chlorine has two naturally occurring isotopes, $\mathrm{Cl}^{35}$ and $\mathrm{Cl}^{37}$. Show that the vibrational spectrum of $\mathrm{HCl}$ should consist of closely spaced doublets, with a splitting given by $\Delta v=7.51 \times 10^{-4} \nu$, where $v$ is the frequency of the emitted photon. Hint: Think of it as a harmonic oscillator, with $\omega=\sqrt{k / \mu}$, where $\mu$ is the reduced mass (Equation $5.8$ ) and $k$ is presumably the same for both isotopes.
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Chlorine has two natural isotopes: ${ }_{1} 7 \mathrm{Cl}$ and $\left.{ }_{1}^{3}\right\} \mathrm{Cl}$. Hydrogen reacts with chlorine to form the compound $\mathrm{HCl}$. Would a given amount of hydrogen react with different masses of the two chlorine isotopes? Does this conflict with the law of definite proportion? Why or why not?
Chlorine has two natural isotopes: $_{17}^{37} \mathrm{Cl}$ and 35 17 $\mathrm{Cl}$ Hydrogen reacts with chlorine to form the compound HCl. Would a given amount of hydrogen react with different masses of the two chlorine isotopes? Does this conflict with the law of definite proportion? Why or why not?
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