Kinetic Energy of Ion accelerated across potential difference

In summary, the ion of 64Zn30+ with an initial kinetic energy of 9.88 keV will have a kinetic energy of 287.88 keV after being accelerated across a potential difference of 277 volts. This is calculated by taking the charge of the ion, multiplying it by the potential difference, and adding it to the initial kinetic energy.
  • #1
iuchem16
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An ion of 64Zn30+ with an initial kinetic energy of 9.88 keV is accelerated across a potential difference of 277 Volts. What is its kinetic energy after acceleration (in keV)?
 
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  • #2
Welcome to PF!

Hi iuchem16! Welcome to PF! :smile:
iuchem16 said:
An ion of 64Zn30+ with an initial kinetic energy of 9.88 keV is accelerated across a potential difference of 277 Volts. What is its kinetic energy after acceleration (in keV)?

What is the definition of potential difference, and its relation to potential energy ? :wink:

Show us what you've tried. :smile:
 
  • #3
A potential difference of 277 volts will transfer energy of 277 ev per unit charge to the ion.

Take the charge of your ion, multiply by 277 ev, add to 9.88...
 

1. What is kinetic energy of ions accelerated across a potential difference?

The kinetic energy of ions accelerated across a potential difference is the energy gained by the ions as they move through a potential difference, or voltage, due to the electric field. This energy is related to the mass and velocity of the ions and is measured in joules (J).

2. How is the kinetic energy of ions calculated?

The kinetic energy of ions can be calculated using the equation KE = ½mv², where m is the mass of the ion and v is its velocity. This equation is derived from the more general equation for kinetic energy, KE = ½mv², which applies to all moving objects.

3. What factors affect the kinetic energy of ions accelerated across a potential difference?

The kinetic energy of ions accelerated across a potential difference is affected by the mass and velocity of the ions. In addition, the strength of the electric field and the distance the ions travel through the potential difference also impact the kinetic energy.

4. What is the relationship between kinetic energy and potential difference?

The kinetic energy of ions is directly proportional to the potential difference. This means that as the potential difference increases, so does the kinetic energy of the ions. This relationship is described by the equation KE = qV, where q is the charge of the ion and V is the potential difference.

5. How is the kinetic energy of ions used in scientific research?

The kinetic energy of ions is used in a variety of scientific research applications, such as in mass spectrometry to determine the mass and charge of ions, and in particle accelerators to study the properties of subatomic particles. It is also relevant in fields such as plasma physics and materials science, where ions play a significant role.

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