Calculating the Mass of a Chlorine Anion Using Electric and Magnetic Fields?

In summary, the mass of a chlorine anion can be calculated by ionizing it and accelerating it through an electric potential, then measuring its circular path after being exposed to a magnetic field. By using the equations Fm=qvBsinθ and a=v^2/R, the anion's kinetic energy and velocity can be determined. Finally, with the use of the radius of curvature of the motion, the mass of the anion can be calculated.
  • #1
yummallory
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Homework Statement


The mass of an atom can be determined by ionizing it and accelerating it through a known electric field followed by a known magnetic field. The ion’s circular path is then measured. Calculate the mass of a chlorine anion of charge 3.20 x 10^-19 C if it follows a circular path of radius 0.862 cm after it has been accelerated through a potential difference of 2.5 x10^2 V and then exposed to a uniform magnetic field of strength 3.00 T .


Homework Equations


Fm=qvBsinθ ?
a=v^2/R ?

The Attempt at a Solution


Not even sure where to start on this one..Please help!
 
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  • #2
Start by determining what the KE of the anion will be after acceleration by the electric potential. Then write an expression for its velocity (yes, the unknown mass will be in there).

Next do something clever with the velocity, charge, and magnetic field to write an expression that involves the radius of curvature of the motion (think centripetally!).
 

1. What is the mass of an atom?

The mass of an atom is the total weight of all its subatomic particles, including protons, neutrons, and electrons. It is measured in atomic mass units (amu) and is typically very small, ranging from 1 to 238 amu depending on the element.

2. How is the mass of an atom determined?

The mass of an atom is determined by adding up the masses of its protons, neutrons, and electrons. Protons and neutrons have almost the same mass, while electrons are significantly lighter. The number of each type of subatomic particle in an atom can vary, leading to different atomic masses for different elements.

3. Can the mass of an atom change?

Yes, the mass of an atom can change through nuclear reactions, such as fission or fusion. These reactions can result in the loss or gain of subatomic particles, leading to a change in the atom's mass.

4. What is magnetism?

Magnetism is a physical phenomenon where certain materials, such as iron, nickel, and cobalt, have a natural tendency to attract or repel other objects. This is due to the alignment of the atoms' magnetic fields within the material.

5. How do atoms interact with magnets?

Atoms interact with magnets through their magnetic fields. When atoms are aligned in a certain way, their magnetic fields can combine and create a stronger magnetic force, allowing them to be attracted or repelled by a magnet. The strength of this interaction depends on the type of atom and its distance from the magnet.

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