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 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 sotope 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 0.552 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 2979 V on the two plates shown. detector Using the data shown in the table below, calculate the path radius of the Ca ion Number (Scroll down for table and more questions) Using the same data table, match the particles to their path label.

Explanation / Answer

for Ca+ ion,

KE = q deltaV  

m v^2 / 2 = q deltaV

(40 x 1.67 x 10^-27) v^2 /2 = (1.6 x 10^-19) (2979)

v = 1.195 x 10^5 m/s

for circular path,

Fm = m a_c

q v B = m v^2 / r

r= m v / q B

r = (40 x 1.67 x 10^-27) (1.195 x 10^5) / (1.6 x 10^-19 x 0.552)

r = 0.090 m

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