Not Homework, But can somone explain

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In a mass spectrometer, Fe2+ and Fe3+ ions are accelerated by the same potential, but Fe2+ will move faster due to its lower charge-to-mass ratio. The equation v = sqrt(2qV/m) indicates that the charge (q) significantly influences the velocity, with Fe3+ having a higher charge but similar mass compared to Fe2+. The difference in charge arises from the number of valence electrons, with Fe3+ having one more proton than Fe2+, but the mass difference is negligible since it only involves the mass of electrons. Thus, the dominant factor affecting their speeds is the charge rather than mass. Understanding these principles clarifies the behavior of ions in a magnetic field.
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This is a support question in my package. It says 2 different iron ions,
Fe2+ and Fe3+ are accelerate by the same potential and then sent through the uniform magnetic field of a mass spectrometer

which ion moves faster? and why?

Equation v= Sqrt(2qV/m) where q is magnitude of charge of the ion and V is the potential difference aross the plate

i would think that Fe 3+ would move faster because it has a larger magnitude of charge than Fe 2+

but i could be totally wrong, can someone explain to me?
 
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Is there any difference in mass?
 
im not sure, i thought that they weighed the same ?? is one heavier than the other? i thought it would depend more so on the magnitude of charge than the weight.. but please help me understand this
 
quickslant said:
im not sure, i thought that they weighed the same ??
Let's make sure.

What's the difference between Fe2+ and Fe3+ ? Do you know what the 2+ or 3+ represents (alternatively, how do you make a positive ion starting from a neutral atom)?
 
yes. valence it means that one has 2 valence electrons and the other has 3 valence electrons, considering this would that mean that Fe3+ has one extra proton making it weigh more?
 
quickslant said:
yes. valence it means that one has 2 valence electrons and the other has 3 valence electrons, considering this would that mean that Fe3+ has one extra proton making it weigh more?
Close, but you're making a small mistake. When you make an ion out of a neutral atom, you do not change anything in the nucleus (protons, neutrons). All you do is add or remove electrons.

Starting from a neutral Fe-atom, removing two electrons gives you Fe2+. Pluck out another electron, and you have Fe3+.

So the only difference in mass between those two ions, is the mass of a single electron! And, as you know, the electron's mass is tiny compared to the mass of the atom, so the dominant effect, as you correctly guessed earlier, is the different charges on the two ions.

So your first guess was, in fact, correct! But it's important that the method applied also be correct.
 
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thank you very much.. all the help was appreciated
 
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