Mass Spectrometer for Isotope Separation In order to separate U-235 from U-238,
ID: 1790938 • Letter: M
Question
Mass Spectrometer for Isotope Separation In order to separate U-235 from U-238, a mass spectrometer arrangement is used. Uranium hex- afluoride is singly ionized (UFo) and is accelerated through a potential of 15 kV. The atomic mass of Fluorine is 19 ann, while that of U-235 is 235 amu. I amu = 1.67 × 10-27 kg. What is the velocity of the ionized molecules containing U-2387 -2 What is the velocity of the ionized molecules containing U-2352 The mass spectrometer uses a uniform magnetic field of 0.5 T directed out of the page. At what distance d do the two forms of molecules strike the target? + ionized molecules Eifects of Magnetic Fields 153 2017-18Explanation / Answer
m = 238 + 19 = 257 amu = 4.29 x 10^-25 kg
m v^2 /2 = q deltaV = (1.60 x 10^-19)(15 x 1000)
v = 1.058 x 10^5 m/s .....Ans
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m = 254 amu = 4.24 x 10^-25 kg
v = 1.064 x 10^5 m/s .....Ans
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q v B = m v^2 / r
r = m v / q B
r = ((4.29 x 10^-25 x 1.058 x 10^5) - (4.24 x 10^-25 x 1.064 x 10^5)) / (1.6 x 10^-19 x 0.5)
r = 3.43 x 10^-3 m
d = 2 r = 6.87 x 10^-3 m Or 6.87 mm