A Mass spectrometer is a device originally used for sorting out isotopes of atom

Question

A Mass spectrometer is a device originally used for sorting out isotopes of atoms. New uses now include identifying molecules and even biological samples. The device starts with a gas atom, ionizes it by hitting it with electrons removing 1 electron from the atom, accelerating it with a voltage, injecting it into a magnetic field, the magnetic field forces it Into a partial circle, where it then collides with a detector that records the amount of deflection. That deflection will be related to the mass of the object. Thus the different masses of isotopes say, will be displayed, and the isotopes Identified. So - Given design parameters like singly ionized, accelerating voltage = 10 KV, Bfield of 3 T, and trajectory of a half circle. Now lets look at Sodium (NA 23, 11 protons, 12 Neutrons, stable) and a major isotope (NA 24, 11 P, 13 N, unstable half life of 15 hours - B decay to MG 24). Assuming a sample that has a mix of NA 23 and 24 atoms. Assuming singly ionized - fill in the numbers = NA23 mass=____kg, charge a_____c, NA24 mass____kg. charge =____c

Explanation / Answer

Na - 23   mass = 22.9898 u = 38.1746 e-27 kg

Na-24     mass = 23.9910 u = 39.8371 e-27 kg

both are sinmgly ionised atom and carry a charge of Qe , equal to the charge of an electron

charge q = 1.609e-19 C

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