6. Mass spectrometry uses magnetic field to separate isotopes (same element, but different atomic masses), so we can get the relative abundance of the different isotopes of a given element. For example, Chlorine has two naturally occurring isotopes: Cl-35 has a mass of 5.812 × 10- kg and Cl-37 has a mass of 6.144 x 10- kg. If both of these are ionized to a singly charged ion (q = -1.602 × 10-" C), and accelerated through a voltage of 400 V, (a) what is the diameter of the semicircular path travelled by each of the isotopes in a uniform magnetic field of 0.10 T? See the figure below for the geometry. lonizer (b) The results can be further refined by a velocity selector so only ions with a specific velocity enters the magnetic field (see below). If the electric field in the velocity selector is 2000 N/C, what magnetic field strength is needed to have only ions with speed of 4.60 × 10ʻ m/s to pass through undeflected? In that case, what is the diameter of the semicircular path travelled by each of the isotopes in a 0.10 T magnetic field? + ++ + + ++ + + + + + ®B® -> 8个8
6. Mass spectrometry uses magnetic field to separate isotopes (same element, but different atomic masses), so we can get the relative abundance of the different isotopes of a given element. For example, Chlorine has two naturally occurring isotopes: Cl-35 has a mass of 5.812 × 10- kg and Cl-37 has a mass of 6.144 x 10- kg. If both of these are ionized to a singly charged ion (q = -1.602 × 10-" C), and accelerated through a voltage of 400 V, (a) what is the diameter of the semicircular path travelled by each of the isotopes in a uniform magnetic field of 0.10 T? See the figure below for the geometry. lonizer (b) The results can be further refined by a velocity selector so only ions with a specific velocity enters the magnetic field (see below). If the electric field in the velocity selector is 2000 N/C, what magnetic field strength is needed to have only ions with speed of 4.60 × 10ʻ m/s to pass through undeflected? In that case, what is the diameter of the semicircular path travelled by each of the isotopes in a 0.10 T magnetic field? + ++ + + ++ + + + + + ®B® -> 8个8
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Transcribed Image Text:6. Mass spectrometry uses magnetic field to separate isotopes (same element, but different atomic masses), so we can
get the relative abundance of the different isotopes of a given element. For example, Chlorine has two naturally
occurring isotopes: Cl-35 has a mass of 5.812 x 10-26 kg and Cl-37 has a mass of 6.144 x 10-6 kg. If both of these
are ionized to a singly charged ion (q = -1.602 × 10-" C), and accelerated through a voltage of 400 V,
(a) what is the diameter of the semicircular path travelled by each of the isotopes in a uniform magnetic field of
0.10 T? See the figure below for the geometry.
lonizer
(b) The results can be further refined by a velocity selector so only ions with a specific velocity enters the magnetic
field (see below). If the electric field in the velocity selector is 2000 N/C, what magnetic field strength is needed to
have only ions with speed of 4.60 x 10' m/s to pass through undeflected? In that case, what is the diameter of the
semicircular path travelled by each of the isotopes in a 0.10 T magnetic field?
++++ + +++ + + + +
OB® O
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