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alicia113
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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!
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!