Please answer g only

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Please answer g only 

1. The mass spectrometer.
electrons). When the ions emerge from the
ionizing chamber, they are
through a potential difference Vo, at which
point they enter a uniform magnetic field Bo
as shown. The magnetic field deflects the ions
into a circular path, and they eventually
collide with a detector plate.
асcelerated
In a sample of ordinary carbon, most of the
carbon atoms consist of six electrons bound to
a nucleus of six protons and six neutrons. But
a small fraction of the carbon atoms in the
sample will be slightly heavier, consisting of
six electrons, six protons, and eight neutrons.
The reason this whole scheme works is that
ions of different isotopes will end up in
different places on the detector plate. This
allows identification
abundances of the isotopes.
Nuclei for wo isotopes of carbon
(schemati)
of
the
relative
In this problem we will determine the
separation of 1C and 14C on the detector plate.
As you can see, the massea of these isotopes
are very nearly M12 = 12m, and M14 = 14 mp,
respectively, where m, = 1.67x107 lkg is the
mass of a proton.
a) How fast is a 12C ion going when it enters the
magnetic field? Answer in terms of Vo, mp.
and e. (For simplicity, assume that the ions
umerging from the ionizing chamber are at
rest.)
Because these isotopes are the same as far as
their charged constituents, their chemical
properties are for all practical purposes
identical.
isotopes from one another via chemical
procedures.
b) Draw a force diagram for a 14C ion when it is
traveling inside the magnetic field in a
circular path with the speed caleulated in part
(a). (Negleet gravity.)
So we cannot separate these
A mass spectrometer uses a magnetic field to
separate the isotopos as follows.
c) Use Newton's Second Law Fnm - ma to
determine the radius of the 1C ion's circular
path. Answer in terms of Vo, Bo, mp, and e.
d) Looking at your answer for part (c), write
down an expression for the radius of a 14C
ion's circular path within the magnetic field.
detector plate
accelerator
separator
ionizing
chamber
e) What is the separation of the ions on the
detector plate? Answer in terms of Vo, Bo, mp,
and e.
) If we want the separation to be at least 1 cm,
and the magnetic field we are using is 0.1
Tesla, then how large is the acoelerator
voltage Vo going to have to be?
v- vo
V-0
In the ionizing chamber, an electric discharge
runs through the atoms in the carbon gas,
causing them to become singly ionized (which
means that they have lost one of their outer
g) With the voltage set at this level (and with Bo
= 0.1 T), where will the 12C ions strike the
detector plate? *
Transcribed Image Text:1. The mass spectrometer. electrons). When the ions emerge from the ionizing chamber, they are through a potential difference Vo, at which point they enter a uniform magnetic field Bo as shown. The magnetic field deflects the ions into a circular path, and they eventually collide with a detector plate. асcelerated In a sample of ordinary carbon, most of the carbon atoms consist of six electrons bound to a nucleus of six protons and six neutrons. But a small fraction of the carbon atoms in the sample will be slightly heavier, consisting of six electrons, six protons, and eight neutrons. The reason this whole scheme works is that ions of different isotopes will end up in different places on the detector plate. This allows identification abundances of the isotopes. Nuclei for wo isotopes of carbon (schemati) of the relative In this problem we will determine the separation of 1C and 14C on the detector plate. As you can see, the massea of these isotopes are very nearly M12 = 12m, and M14 = 14 mp, respectively, where m, = 1.67x107 lkg is the mass of a proton. a) How fast is a 12C ion going when it enters the magnetic field? Answer in terms of Vo, mp. and e. (For simplicity, assume that the ions umerging from the ionizing chamber are at rest.) Because these isotopes are the same as far as their charged constituents, their chemical properties are for all practical purposes identical. isotopes from one another via chemical procedures. b) Draw a force diagram for a 14C ion when it is traveling inside the magnetic field in a circular path with the speed caleulated in part (a). (Negleet gravity.) So we cannot separate these A mass spectrometer uses a magnetic field to separate the isotopos as follows. c) Use Newton's Second Law Fnm - ma to determine the radius of the 1C ion's circular path. Answer in terms of Vo, Bo, mp, and e. d) Looking at your answer for part (c), write down an expression for the radius of a 14C ion's circular path within the magnetic field. detector plate accelerator separator ionizing chamber e) What is the separation of the ions on the detector plate? Answer in terms of Vo, Bo, mp, and e. ) If we want the separation to be at least 1 cm, and the magnetic field we are using is 0.1 Tesla, then how large is the acoelerator voltage Vo going to have to be? v- vo V-0 In the ionizing chamber, an electric discharge runs through the atoms in the carbon gas, causing them to become singly ionized (which means that they have lost one of their outer g) With the voltage set at this level (and with Bo = 0.1 T), where will the 12C ions strike the detector plate? *
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