Calculate the nominal mass of each ion. Unless otherwise indicated, use the mass of the most abundant isotope of each element. (a) \(\left[\mathrm{CH}_{3} \mathrm{Br}\right]^{+}\) (b) \(\left[\mathrm{CH}_{3}{ }^{81} \mathrm{Br}\right]^{+}\) (c) \(\left[{ }^{13} \mathrm{CH}_{3} \mathrm{Br}\right]^{+}\)

Short Answer

Expert verified
Answer: The nominal masses of the ions are (a) 94, (b) 96, and (c) 95.

Step by step solution

01

Identify the most abundant isotopes of each element

The most abundant isotopes for Carbon (C), Hydrogen (H), and Bromine (Br) are: - Carbon: \(^{12}C\) - Hydrogen: \(^{1}H\) - Bromine: \(^{79}Br\) (50.69%) and \(^{81}Br\) (49.31%)
02

Calculate the nominal mass of ion (a)

To calculate the mass of the ion \(\left[\mathrm{CH}_{3} \mathrm{Br}\right]^{+}\), use the most abundant isotopes for each element. Nominal Mass: Mass of Carbon + (3 x Mass of Hydrogen) + Mass of Bromine Nominal Mass = 12 + (3 x 1) + 79 = 94
03

Calculate the nominal mass of ion (b)

For ion (b), \(\left[\mathrm{CH}_{3}{ }^{81} \mathrm{Br}\right]^{+}\), we are indicated to use the isotope \(^{81}Br\). Nominal Mass = Mass of Carbon + (3 x Mass of Hydrogen) + Mass of \(^{81}Br\) Nominal Mass = 12 + (3 x 1) + 81 = 96
04

Calculate the nominal mass of ion (c)

For ion (c), \(\left[{ }^{13} \mathrm{CH}_{3} \mathrm{Br}\right]^{+}\), we are indicated to use the isotope \(^{13}C\). Nominal Mass = Mass of \(^{13}C\) + (3 x Mass of Hydrogen) + Mass of Bromine Nominal Mass = 13 + (3 x 1) + 79 = 95 So the nominal masses of the ions are: (a) 94 (b) 96 (c) 95

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