How Do You Calculate the Mass of an Atom Using a Mass Spectrometer?

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SUMMARY

The discussion focuses on calculating the mass of an atom using a mass spectrometer, specifically for a beam of doubly ionized atoms with given parameters: charge (q = 2(1.60 x 10^-19 C)), magnetic field (B = 5.0 x 10^-2 T), radius (r = 0.120 m), and voltage (V = 3442.9 V). The relevant equation is B²*q*r² / 2*V, which is essential for determining the mass. Participants seek clarification on the formula for path radius in relation to mass (m), charge (q), velocity (v), and magnetic field (B).

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  • Understanding of mass spectrometry principles
  • Familiarity with electromagnetic theory
  • Knowledge of the relationship between charge, magnetic field, and motion
  • Basic algebra for manipulating equations
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  • Review the derivation of the mass spectrometer equation B²*q*r² / 2*V
  • Study the concept of path radius in magnetic fields
  • Learn about the role of voltage in mass spectrometry
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Students in physics and chemistry, particularly those studying mass spectrometry, as well as educators and professionals seeking to deepen their understanding of atomic mass calculations.

itsmarasilly
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Homework Statement



A mass spectrometer analyzes and gives data for a beam of doubly ionized atoms. The values are q = 2(1.60 x 10^-19 C), B = 5.0 x 10^-2 T, r = 0.120 m, and V = 3442.9 V. Find the mass of one of these atoms.


Homework Equations



B^2*q*r^2 / 2*v



The Attempt at a Solution



(5x10^-2)^2*2(1.6*10^-19)*(0.120)/2(3442.9)
 
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itsmarasilly said:

Homework Statement



A mass spectrometer analyzes and gives data for a beam of doubly ionized atoms. The values are q = 2(1.60 x 10^-19 C), B = 5.0 x 10^-2 T, r = 0.120 m, and V = 3442.9 V. Find the mass of one of these atoms.


Homework Equations



B^2*q*r^2 / 2*v
Sorry, but I can't tell what the equation you wrote here is supposed to represent.

What is the formula for path radius given m, q, v, and B? It should be in your textbook.

The Attempt at a Solution



(5x10^-2)^2*2(1.6*10^-19)*(0.120)/2(3442.9)
And that equals what?
 

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