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 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 oft lonized 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 0.352 T pointing out of the plane of the schematic. Motion of the positively-charged iso toward the right was initiated by a potential difference o 2155 V on the two plates shown. the planeAV Using the data shown in the table below, calculate the path radius of the Ca ion. Number m (Scroll down for table and more questions) Using the same data table, match the particles to their path label Using the same data table, match the partides to their path label

Explanation / Answer

The equation for speed of the particle is

(1/2) mv^2 = qV

When the particle enters ionization chamber then

BqV=mV^2/r

Radius

r= m V / B q

Put the value of v

r = {[m/q][2V/B^2]}

For Ca

r = 3.8m

The second term is a constant. Radius depends on m/q so

For larger radius mass should be greater and charge should be smaller

A = Ca^2+

B =Ca^+

C= Ba^2+

D =Ba^+

E = Ra^+3

F = Ra ^+2

G=Ra^+

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