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 radioactive element) as chemically similar, storing both in bone marrow. The radium then bombards nearby bone cells with alpha particles, causing them to "crumble." Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using lonized isotope a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer that shows the paths of calcium isotopes, barium (another alkaline earth metal) isotopes, and radium isotopes entering the chamber. The region shown is immersed in a constant magnetic field of0.552 T pointing out of the plane of the schematic. Motion of the positively-charged A AV isotopes toward the right was initiated by a potential difference of 3082 V on the two plates shown. Detector E F G Using the data shown in the table, calculate the path radius of the Cat ion. 7.8 x10-2 Ca* path radius: Charge (x10-25 kg) (x10-19 C) Mass Isotope Incorrect Ca+ 0.666 +1.602 Ca2+ 0.666 +3.204 Bat 2.28 +1.602 Ba2+ 2.28 +3.204 Rat 3.75 +1.602 Ra2+ 3.75 +3.204 Ra+ 3.75 +4.806 Using the same data table, match the particles to their Path A Ca Answer Bank path label. Path B Ca Path C Ba+ Path D Ra+ Ra Path E Path F Ba Path G Ra + + + + +

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Chapter43: Nuclear Physics
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Problem 23P
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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
radioactive element) as chemically similar, storing both in
bone marrow. The radium then bombards nearby bone cells
with alpha particles, causing them to "crumble."
Radium poisoning investigations often center on the
identification of radium and its isotopes in bone samples using
lonized
isotope
a mass spectrometer. Pictured is a schematic of a simplified
mass spectrometer that shows the paths of calcium isotopes,
barium (another alkaline earth metal) isotopes, 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
A
-AV-
B
difference of 3082 V on the two plates shown.
C
D
Detector
E
G
Using the data shown in the table, calculate the path radius of
the Cat ion.
7.8 x10-2
Ca* path radius:
Mass
Charge
Isotope
(x10-25 kg) (x10-19 C)
Incorrect
Ca+
0.666
+1.602
Ca2+
0.666
+3.204
Bat
2.28
+1.602
Ba2+
+3.204
2.28
Rat
3.75
+1.602
Ra2+
3.75
+3.204
Ra+
3.75
+4.806
Using the same data table, match the particles to their
Path A
Ca
Answer Bank
path label.
Path B
Ca
Path C
Ba+
Path D
Ra+
Ra+
Path E
Path F
Bat
Path G
Ra
+ +
Transcribed Image Text: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 radioactive element) as chemically similar, storing both in bone marrow. The radium then bombards nearby bone cells with alpha particles, causing them to "crumble." Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using lonized isotope a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer that shows the paths of calcium isotopes, barium (another alkaline earth metal) isotopes, 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 A -AV- B difference of 3082 V on the two plates shown. C D Detector E G Using the data shown in the table, calculate the path radius of the Cat ion. 7.8 x10-2 Ca* path radius: Mass Charge Isotope (x10-25 kg) (x10-19 C) Incorrect Ca+ 0.666 +1.602 Ca2+ 0.666 +3.204 Bat 2.28 +1.602 Ba2+ +3.204 2.28 Rat 3.75 +1.602 Ra2+ 3.75 +3.204 Ra+ 3.75 +4.806 Using the same data table, match the particles to their Path A Ca Answer Bank path label. Path B Ca Path C Ba+ Path D Ra+ Ra+ Path E Path F Bat Path G Ra + +
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