QuestionFind the approximate mass of electrons in a $\mathrm{S}^{+1}$ ion.

Studdy Solution

STEP 1

Assumptions1. The ion is a $\mathrm{}^{+1}$ ion, which means it is a sulfur ion that has lost one electron. . The atomic number of sulfur () is16, which means a neutral sulfur atom has16 electrons.
3. The mass of an electron is approximately $9.10938356 \times10^{-31}$ kilograms.

STEP 2

First, we need to find the number of electrons in the $\mathrm{}^{+1}$ ion. We can do this by subtracting the number of lost electrons from the total number of electrons in a neutral sulfur atom.
$Number\, of\, electrons = Total\, electrons\, in\, neutral\, sulfur - Number\, of\, lost\, electrons$

STEP 3

Now, plug in the given values for the total electrons in neutral sulfur and the number of lost electrons to calculate the number of electrons in the $\mathrm{}^{+1}$ ion.
$Number\, of\, electrons =16 -1$

STEP 4

Calculate the number of electrons in the $\mathrm{}^{+1}$ ion.
$Number\, of\, electrons =16 -1 =15$

STEP 5

Now that we have the number of electrons, we can find the total mass of the electrons in the $\mathrm{}^{+1}$ ion. This can be done by multiplying the number of electrons by the mass of an electron.
$Total\, mass = Number\, of\, electrons \\times Mass\, of\, an\, electron$

STEP 6

Plug in the values for the number of electrons and the mass of an electron to calculate the total mass.
$Total\, mass =15 \\times9.10938356 \\times10^{-31}$

STEP 7

Calculate the total mass of the electrons in the $\mathrm{}^{+1}$ ion.
$Total\, mass =15 \\times9.10938356 \\times10^{-31} =1.366407534 \\times10^{-29}$ The approximate mass of the electrons in a $\mathrm{}^{+1}$ ion is $1.366407534 \times10^{-29}$ kilograms.

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