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Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
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Chemistry: Matter and Change 5
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LABORATORY MANUAL
Objective
Determine the ratio of charge e to mass m for an electron
Problem
What is the charge to mass ratio (e/m ratio) of an electron
Materials
electromagnetic tube and power supply Helmholtz coils and power supply ammeter voltmeter connecting leads
Safety Precautions
Always wear safety goggles and a lab apron Hot objects may not appear to be hot
Pre-Lab
1 What is the equation for the charge to mass ratio
Figure B
Procedure
1 Measure the diameter of one of the Helmholtz
coils Divide the diameter by 2 to get the radius Record the radius (R), in meters, in Data Table 1 The number of turns N should be written on the coil Record N in Data Table 1 Calculate the constant k using the equation given in the introduction, and record the value in Data Table 1 2 Assemble the electromagnetic tube apparatus Figure A provides a sketch of the general setup, but details vary depending on the particular hardware being used Your teacher will provide specific details Do not switch the apparatus on 3 Assemble the Helmholtz coils apparatus around the electromagnetic tube The entire arrangement is shown in Figure B Ask your teacher to inspect
Chemistry: Matter and Change 5
your experimental arrangement before switching the apparatus on 4 Adjust the filament current and voltage to their recommended values (as provided by your teacher) and allow the filament to warm up for several minutes When the electron beam is strong and steady, darken the room 5 Set the accelerating potential (V) to about 70 volts Some models of electromagnetic tubes may use different operating values than those given here, but the principle of the procedure will be the same Adjust the current in the Helmholtz coils such that the electron beam turns in a circle of radius 004 m (4 cm) Different Helmholtz coils are optimized to produce different size circles Choose a radius suitable for your equipment Methods for setting the radius of the electron beam vary depending on the equipment Refer to your teacher for information Record the accelerating voltage, Helmholtz current, and electron beam radius in Data Table 2
Laboratory Manual
Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
(e/m) in terms of the voltage (V), current (I), constant (k), electron travel radius (r), coil radius (R), and number of coil turns (N ) Use this equation and the fact that the e/m ratio will be a constant to answer questions 2 4 2 If the voltage (V) of the electron gun is increased, will the radius of the electron beam increase, decrease, or remain unchanged 3 If the number of turns in the Helmholtz coil (R) is doubled, how will the radius of the electron beam (r) change 4 If the current through the Helmholtz coil (I) is increased, will the radius of the electron beam increase, decrease, or remain unchanged
Name
Date
Class
LAB 52 6 Repeat step 5 for accelerating voltages at 5-volt
LABORATORY MANUAL Cleanup and Disposal
1 Return all lab equipment to its proper place 2 Clean up your workstation
intervals up to 100 V Keep the electron beam circle radius fixed and adjust the coil current accordingly
Data and Observations
Data Table 1
R Radius of Helmholtz coil (m) N Number of turns in coil k
Data Table 2
V Accelerating voltage (V) I Current in Helmholtz coils (A) r Radius of electron beam path (m)
Copyright Glencoe/McGraw-Hill, a division of the McGraw-Hill Companies, Inc
Analyze and Conclude
1 Measuring and Using Numbers Enter the accelerating voltage values from Data Table 2
into Data Table 3 Using the values for the radius of the electron beam path (r) from Data Table 2, calculate the corresponding r 2 values and enter them into Data Table 3 2 Measuring and Using Numbers Using the values for the current in Helmholtz coils (I) from Data Table 2, the value for k from Data Table 1, and the equation B = kI, calculate the values for magnetic field strength (B) and enter them in Data Table 3 Then calculate the square of the field strength (B2) and enter the values in Data Table 3 3 Measuring and Using Numbers Using the values in Data Table 3 and the equation e/m 2V/(B 2 r 2 ), calculate the e/m ratios needed to complete Data Table 3
Laboratory Manual
Chemistry: Matter and Change 5
Name
Date
Class
LAB 52
LABORATORY MANUAL
Data Table 3
V Accelerating voltage (V)
B Magnetic field strength (Tesla)
B2 r2 Square of magnetic Square of electron field strength (Tesla2) beam path radius (m2)
e/m ratio (c/kg)
4 Measuring and Using Numbers Calculate the average value of the e/m ratio from the results
in Data Table 3 Note that the units of the e/m ratio are Coulombs per kilogram (C/kg)
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