Magnesium ion entering a mass spectrometer. find r

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To calculate the radius of deflection for a magnesium ion (Mg 2+) in a mass spectrometer, the equation r = (mv) / |q||B| is used. The user initially calculated the radius as 9.45 x 10^-6 m but noted that the expected answer is 9.39 x 10^-6 m. A key mistake identified is the failure to convert the molar mass from grams per mole to kilograms per atom using Avogadro's constant. Correcting this conversion will yield the accurate radius of deflection. The discussion emphasizes the importance of unit conversion in calculations.
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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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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.
 
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