Magnesium ion entering a mass spectrometer. find r

In summary, the conversation discusses the calculation of the radius of deflection for a magnesium ion entering a mass spectrometer with a magnetic field intensity of 800T. The correct answer is 9.39* 10^-6m, but the solution provided gives 9.45* 10^-6m, likely due to a mistake in converting g/mol to kg/atom. The correct conversion can be achieved by using Avogadro's constant.
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Homework Statement



A magnesium ion (Mg 2+) traveling at 60000 m/s enters a mass spectrometer with a magnetic field intensity of 800T. Calculate the radius of deflection forthe magnesium ion.

800T = |B|
24.31g/mol = m
60000 m/s = v
1.66* 10^-27= Atomic mass unit
r=?

Homework Equations



r= (mv)/ |q||B|

The Attempt at a Solution



(24.31g/mol )(1.66* 10^-27 kg)(60000m/s)
= ------------------------------------------------------
(1.60 * 10^-19 C)(2)(800T)

= 9.45* 10^-6 m

but the right answer is supposed to be 9.39* 10^-6m


can anyone let me know where I've made a mistake?
Thank you in advance!
 
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  • #2
you made a mistake.
what is (24.31g/mol )(1.66* 10^-27 kg) in the numerator?

what you need to do is - convert g/mol into kg/atom, using the avogadro's constant.

think and try it.
 

1. What is a mass spectrometer?

A mass spectrometer is a scientific instrument used to measure the mass of particles in a sample. It works by ionizing the particles and separating them based on their mass-to-charge ratio.

2. How does magnesium ion enter a mass spectrometer?

Magnesium ion enters a mass spectrometer through ionization, which can occur through various methods such as electron impact, chemical ionization, or electrospray ionization.

3. What is the purpose of finding r in relation to magnesium ion entering a mass spectrometer?

The purpose of finding r (mass-to-charge ratio) is to accurately determine the mass of the magnesium ion. This is important in identifying the compound or molecule that the ion belongs to.

4. How is r calculated in a mass spectrometer?

In a mass spectrometer, r is calculated by dividing the mass of the ion by its charge. This value is then compared to known values of r for different molecules to identify the ion's mass.

5. What factors can affect the accuracy of r in a mass spectrometer?

Factors such as instrument sensitivity, sample preparation, and ionization method can affect the accuracy of r in a mass spectrometer. Additionally, any contaminants or impurities in the sample can also impact the accuracy of r. It is important to carefully control these variables to obtain accurate results.

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