Elements that appear in the same column of the periodic table often share simila

Question

Elements that appear in the same column of the periodic table often share similar chemical properties. In the case of I* the alkaline earth metals, this is troublesome since the body + treats calcium (necessary for proper bone growth) and radium (a radioatictive element) as chemically similar, storing both in bone marrow. The radium then bombards nearby bone cells with alpha particles, causing them to "crumble." onized isotope Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer, showing the paths of calcium, barium (another alkaline earth metal) and radium isotopes entering the chamber. The region shown is immersed in a constant magnetic field of 0.652 T pointing out of the plane+ of the schematic. Motion of the positively-charged isotopes toward the right was initiated by a potential difference of 2773 V on the two plates shown detector E Using the data shown in the table below, calculate the path radius of the Ca ion. Number (Scroll down for table and more questions)

Explanation / Answer

Magnetic field, B = 0.652 T

Accelerating voltage, V = 2773 V

Path radius of the charged particles in the magnetic field region in a mass spectrometer set up is given by,

r = (1/B )* sqrt(2mV / q)

where m is the mass of the particle and q is the charge on it.

Mass of the Ca+ ion is, m = 40.1 amu = 40.1 * 1.661 * 10-27 kg

m = 66.6061 * 10-27 kg

Charge on the Ca+ ion is, q = +1 e = 1.602 * 10-19 C

Path radius r is,

r = (1 / B )*sqrt(2mV / q)

r = (1/0.652) *sqrt(2 * 66.6061 * 10-27 * 2773 / 1.602 * 10-19 )

r = 0.07365 m

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