How Do You Calculate the Specific Charge of a Cu2+ Ion?

In summary, specific charge or charge-to-mass ratio is a physical quantity that represents the amount of electric charge per unit mass of a particle. It can be measured using a mass spectrometer and is important in the study of particles. The specific charge of a particle is related to its mass and charge and cannot be changed, but can vary depending on the environment.
  • #1
bullseye
1
0
Stuggling with this idea..

A Cu atom loses two electrons, for the ion formed calculate its specific charge in C kg ^-1.

Please could you show working.

Many thanks:smile:
 
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  • #2
What is the net charge of the Cu ion, in coulombs, after it has lost the two electrons?

What is the mass of a Cu ion, in kg?
 
  • #3


The specific charge is a physical quantity that represents the ratio of an object's charge to its mass. It is typically measured in units of C kg^-1. In this scenario, we are dealing with a copper (Cu) atom that has lost two electrons, resulting in the formation of a Cu2+ ion.

To calculate the specific charge of this ion, we first need to determine its charge and mass. The charge of the Cu2+ ion is +2, since it has lost two electrons. The mass of a single Cu2+ ion can be calculated by adding the atomic mass of copper (63.55 g/mol) to the mass of two electrons (2 x 9.11 x 10^-31 kg), giving us a total mass of approximately 1.27 x 10^-25 kg.

Now, we can use the formula for specific charge, which is q/m, where q is the charge and m is the mass. Plugging in the values we have calculated, we get:

Specific charge = (+2 C)/(1.27 x 10^-25 kg)

= 1.57 x 10^25 C kg^-1

Therefore, the specific charge of the Cu2+ ion is 1.57 x 10^25 C kg^-1. This means that for every kilogram of mass, the Cu2+ ion has a charge of 1.57 x 10^25 Coulombs. I hope this helps to clarify the concept of specific charge for you. Let me know if you have any further questions.
 

1. What is specific charge?

Specific charge, also known as charge-to-mass ratio, is a physical quantity that represents the amount of electric charge per unit mass of a particle. It is typically denoted by the symbol "e/m" and has units of coulombs per kilogram (C/kg).

2. How is specific charge measured?

Specific charge can be measured using a device called a mass spectrometer. This instrument uses a combination of magnetic and electric fields to separate charged particles based on their specific charge values. By measuring the deflection of the particles, the specific charge can be calculated.

3. What is the importance of specific charge?

Specific charge is an important physical quantity in the study of particles, as it can provide information about the mass and charge of particles. It is also used in various fields such as nuclear physics, astrophysics, and medical imaging.

4. How does specific charge relate to the properties of particles?

The specific charge of a particle is related to its mass and charge. Heavier particles will have a lower specific charge, while particles with a higher charge will have a higher specific charge. This relationship allows scientists to identify and characterize different particles based on their specific charge values.

5. Can specific charge be changed?

Specific charge is an intrinsic property of a particle and cannot be changed. However, the charge or mass of a particle can be altered, which would in turn affect its specific charge value. Additionally, specific charge can vary depending on the environment the particle is in, such as in a different medium or under the influence of an external force.

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