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session.masteringphysics.com Course Home MasteringPhysics: HW7-Chpt. 27 Search Textbook SolutionsI HWT-Chet 2 Alternative Exercise 27.96: Determining the Mass of an Isotope a previcus | 15 of 22 | next a Alternative Exercise 27.96: Determining the Mass of an Isotope Part A Determine the mass of one selenium ion. The electric field between the plates of the velocity selector in a Bainbridge mass spectrometer (see Fig. 27.22 in the textbook) is 1.00x105 V/m, and the magnetic field in both regions is 0.520 T. A stream of singly charged selenium ions moves in a circular path with a radius of 30.0 cm in the magnetic field. kg Submit My Answers Give Up Part B Determine the mass number of this selenium isotope. (The mass number is equal to the mass of the isotope in atomic mass units, rounded to the nearest integer One atomic mass 1 u = 1.66 × 10-27 kg.) atonic mass units Submit My Answers Give Up Continue

Explanation / Answer

Here ,

B = 0.52 T

r = 0.30 m

let the mass of the selenium ion is m

r = sqrt(2m * KE)/(B * q)

r = sqrt(2 * m * 1 *10^5 * 1.602 *10^-19)/(0.52 * 1.602 *10^-19)

0.30 = sqrt(2m * 1 *10^5 * 1.602 *10^-19)/(0.52 * 1.602 *10^-19)

solving for m

m = 1.95 * 10^-26 Kg

the mass of the ion is 1.95 * 10^-26 Kg

b)

mass number of the isotope = 1.95 *10^-26/(1.66 *10^-27)

mass number of the isotope = 12

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