Acceleration with Fe2+ ion and Fe3+ ion help

In summary, when comparing the acceleration and trajectory of Fe2+ and Fe3+ ions in a mass spectrometer, the main factors to consider are their masses and charges. Since the masses are very similar and the charges are different, the ion with the greater charge (Fe3+) will experience a greater force and thus have a greater acceleration and follow a path with a larger radius.
  • #1
alicia113
103
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Acceleration with Fe2+ ion and Fe3+ ion help!

A sample of two different iron ions, Fe^2+ and Fe^3+, are accelerated by the same potential and sent through the uniform magnetic field of a mass spectrometer.
a)Which ions moves faster after being accelerated. Justify with relevant equations.
b)Which ion follows the path with the largest radius. Justify your answer.

solutions

a)their masses are the same (or very close to being the same; these will differ by approximately the mass of one electron, which is quite negligible in this case compared to the atomic mass of Fe), then the main consideration is the difference in charges.

Ee = Ek
Ee1 = 1/2 m1v1^2
Ee2 = 1/2 m2v2^2
1/2m1v1^2 = 1/2 m2v2^2

The mass of Fe3 ion is greater than Fe2 so it has more energy and more energy is equivalent to greater speed (e.g.momentum)
i don't know if this is a good enough explanaion or if its right

b) Fe3+ becasue it is heavier

eeekk don't know how to explain this one!
 
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  • #2


I think you pointed out the answer by stating that the masses are very close but that since the charges are different and they are subjected to the same electric potential that the ion with the greater charge will be subject to a greater force.

There are no numbers involved but assuming that masses are essentially the same the resultant acceleration on the greater charged ion is proportionately higher.

As far as formulas I'd just put something that relates acceleration to force and force to charge.
 
  • #3


alicia113 said:
b) Fe3+ becasue it is heavier

If anything, it is lighter - after all, it has one electron less and electron is not a massless particle.

Curvature of the trajectory is a function of the mass/charge ratio, you should be able to find details either in your course book or to google them.
 

What is the difference between Fe2+ and Fe3+ ions?

Fe2+ and Fe3+ ions are both forms of iron ions, but they differ in their oxidation state. Fe2+ has a +2 charge, meaning it has lost two electrons, while Fe3+ has a +3 charge, meaning it has lost three electrons. This difference in charge can affect their chemical and physical properties.

How do Fe2+ and Fe3+ ions behave in solution?

Fe2+ and Fe3+ ions are both highly reactive in solution due to their high charge and small size. They can participate in redox reactions, where they can donate or accept electrons, and can also form complexes with other molecules or ions.

How does the presence of Fe2+ and Fe3+ ions affect the rate of a reaction?

The presence of Fe2+ and Fe3+ ions can greatly affect the rate of a reaction. These ions can act as catalysts, speeding up the reaction by providing an alternate pathway with lower activation energy. They can also participate in the reaction themselves, leading to changes in the overall reaction rate.

What are some real-world applications of Fe2+ and Fe3+ ions?

Fe2+ and Fe3+ ions have numerous real-world applications. They are commonly used in industrial processes such as steel production, water treatment, and fertilizer production. They are also found in many biological systems, playing important roles in enzyme activity and oxygen transport.

How can the concentration of Fe2+ and Fe3+ ions be measured in a solution?

The concentration of Fe2+ and Fe3+ ions can be measured using various analytical techniques such as spectrophotometry, titration, and atomic absorption spectroscopy. These methods involve measuring the absorbance or emission of light by the ions, which is directly proportional to their concentration in the solution.

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