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Hydrogen has two stable isotopes, and and sulfur has four

Chapter 3, Problem 34P

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QUESTION:

Hydrogen has two stable isotopes, \({ }_{1}^{1} \mathrm{H}\) and \({ }_{1}^{2} \mathrm{H}\), and sulfur has four stable isotopes, \({ }_{16}^{32} \mathrm{S}\), \({ }_{16}^{33} \mathrm{S}\), \({ }_{16}^{34} \mathrm{S}\), and \({ }_{16}^{36} \mathrm{S}\). How many peaks would you observe in the mass spectrum of the positive ion of hydrogen sulfide, \(\mathrm{H}_2\mathrm{S}^+\)? Assume no decomposition of the ion into smaller fragments.

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QUESTION:

Hydrogen has two stable isotopes, \({ }_{1}^{1} \mathrm{H}\) and \({ }_{1}^{2} \mathrm{H}\), and sulfur has four stable isotopes, \({ }_{16}^{32} \mathrm{S}\), \({ }_{16}^{33} \mathrm{S}\), \({ }_{16}^{34} \mathrm{S}\), and \({ }_{16}^{36} \mathrm{S}\). How many peaks would you observe in the mass spectrum of the positive ion of hydrogen sulfide, \(\mathrm{H}_2\mathrm{S}^+\)? Assume no decomposition of the ion into smaller fragments.

ANSWER:

Step 1 of 2

Here, we are going to find out the number of peaks observed in the mass spectrum of the positive \(\mathrm{H_2S^+}\) .

Since hydrogen atom has two stable isotopes \(\mathrm{^{1}H}\) and \(\mathrm{^{2}H}\). Therefore, it has three possibilities to combine with sulfur atoms.

The possibilities are:  \(\mathrm{^{1}H}\)- \(\mathrm{^{1}H}\),  \(\mathrm{^{1}H}\)- \(\mathrm{^{2}H}\) and \(\mathrm{^{2}H}\)-\(\mathrm{^{2}H}\)

On the other hand, sulfur atoms have four stable isotopes, \(\mathrm{^{32}S}\) \(\mathrm{^{32}S}\), \(\mathrm{^{33}S}\), \(\mathrm{^{34}S}\) and \(\mathrm{^{36}S}\).

 

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