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Question
ion (ion sheet #3)
ion – a charged atom with an overall charge due to a unequal number of protons (+) and electrons (-).
anion – ion with an overall negative (-) charge.
cation – ion with an overall positive (+) charge.
... 14 protons, 16 neutrons, 16 electrons ...
name of element (determine) 11
name of element (determine) 12
atomic number 13
number of protons 14
number of neutrons 15
atomic mass 16
number of electrons 17
overall charge 18
symbol with charge 19
...
- number of neutrons?
16
- atomic mass
32
- number of electrons?
type a response
- overall charge?
18
To solve for the number of electrons, we use the relationship between protons, neutrons, atomic mass, and charge.
Step 1: Recall the formulas
- Atomic Mass ($A$) = Number of Protons ($p$) + Number of Neutrons ($n$)
- Overall Charge ($q$) = Number of Protons ($p$) - Number of Electrons ($e$)
Step 2: Find the number of protons
From the atomic mass and number of neutrons:
$A = p + n$
Given $A = 32$ (atomic mass) and $n = 16$ (neutrons),
$32 = p + 16$
$p = 32 - 16 = 16$
Step 3: Find the number of electrons
Using the overall charge formula:
$q = p - e$
Given $q = 18$ (overall charge) and $p = 16$ (protons),
$18 = 16 - e$
$e = 16 - 18 = -2$? Wait, no—wait, the overall charge here might be misread. Wait, the overall charge input is 18? Wait, no, maybe the charge is positive or negative. Wait, no, let's re-express:
Wait, the overall charge is $q = p - e$. So if $q$ is the charge, then $e = p - q$. Wait, if the overall charge is, say, the ion's charge. Wait, maybe the overall charge is given as 18? No, that can't be. Wait, maybe the user made a typo, but assuming the numbers:
Wait, atomic mass 32, neutrons 16, so protons = 32 - 16 = 16. Then, if overall charge is 18 (but that's unusual). Wait, no—wait, the overall charge is likely the ion charge. Wait, maybe the overall charge is +2 or -2? Wait, no, the input for 18 is in the overall charge box. Wait, maybe the numbers are: protons = 16, neutrons = 16, atomic mass 32. Then, if the overall charge is, say, the ion's charge. Wait, the formula is:
For a neutral atom, $e = p$. For an ion, $e = p - q$ (if $q$ is the charge: positive charge means lost electrons, so $e = p - q$; negative charge means gained electrons, so $e = p + |q|$).
Wait, given $p = 16$ (from $A = 32, n = 16$), and if the overall charge is $q = 18$ (but that's impossible because protons are 16). Wait, maybe the overall charge is -2? Then $e = 16 + 2 = 18$. Ah! That makes sense. So if the overall charge is -2 (meaning the ion has gained 2 electrons), then:
$e = p - q$ (but $q$ is the charge, so if charge is -2, then $q = -2$). So:
$e = 16 - (-2) = 18$.
Yes, that works. So the number of electrons is 18.
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