.................... Elements that appear in the same column of the periodic tab

Question

....................

Elements that appear in the same column of the periodic table often share similar chemical properties. In 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 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 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 tesla pointing out of the plane of the schematic. Motion of the positively-changed isotopes towards the right was initiated by a charge separation of 2155 volts volts on the two plates shown. Using the data shown in the table below, calculate the path radius of the Caption. Note hat 1 a mu = 1.661 Times 10-27 kg and 1 e = 1.602 Times 10 -19 C. Using the same data table, match the particles to the their path label.

Explanation / Answer

mv^2 / R = qVB => R = mv / qB

& Energy = qV = (0.5mv^2) =>mv = Sqrt(2mqV)

R = Sqrt(2mqV)/qB = Sqrt(2mV/qB^2)

Since only mass & charge are changing

So R = Sqrt(2*1.661*10^-27*2155*m'/0.552^2 *1.6*10^-19q') = 0.012Sqrt(m'/q')

Where m' is mass in amu & q' is charge in e

Ra = 0.012Sqrt(40.1/1) = 0.077m

Rb = 0.012Sqrt(40.1/2) = 0.054 m

Rc = 0.012Sqrt(137/1) = 0.14 m

Rd = 0.012Sqrt(137/2) = 0.099m

Re = 0.012Sqrt(226/1) = 0.18 m

Rf = 0.012Sqrt(226/2) = 0.1276 m

Rg = 0.012Sqrt(226/3) = 0.104 m

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.