レ→0 dN = N = b3 exp[-a(v²)] d³v = 1 v=0 v=0 2. The square root of v² is equal to 3kT/m:
レ→0 dN = N = b3 exp[-a(v²)] d³v = 1 v=0 v=0 2. The square root of v² is equal to 3kT/m:
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Solve the shown integral and show is equal to one.
prove it.
please do then explain to me.
thanks.
![03. Vacuum Techniques-Gas Laws.pdf - Adobe Acrobat Reader DC (32-bit)
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f(v²) = f(v?)f(v3)f(v²) = b³ exp[-a(v? + vž + v?)] = b³ exp[-a(v²)]
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a and b can be obtained from the following two conditions:
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1. The integral of dN, for all speeds being between zero and infinite, is equal
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to the total number of molecules:
03. Vacuum.s Laws.pdf
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Microsoft Word (*.docx)
dN Ν
| b3 exp[-a(v²)] d³v = 1
Document Language:
v=D0
English (U.S.) Change
2. The square root of v² is equal to 3kT/m:
Convert
v→00
1
v2
3kT
v?b³ exp[-a(v²)] d³v =
v² dN
m
v=0
Edit PDF
The above two conditions lead to the following two equations for a and b
Create PDF
E Comment
а
2kT
a3
b =
b3
a
i Combine Files
m
E0 Organize Pages
By solving these equations, a and b are derived
A Comrese DDE
m
m
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b =
V 2nkT
a =
2kT
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P O ll >
ENG
9:16 AM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F091d65fb-0658-4ef6-9a32-60efe17cfac4%2Ff73f0f1e-fd30-4732-98c1-a9b5d8e3d849%2F9n34cm6_processed.png&w=3840&q=75)
Transcribed Image Text:03. Vacuum Techniques-Gas Laws.pdf - Adobe Acrobat Reader DC (32-bit)
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03. Vacuum Techni. x
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8 / 11
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And finally, we have
Search "Watermark'
f(v²) = f(v?)f(v3)f(v²) = b³ exp[-a(v? + vž + v?)] = b³ exp[-a(v²)]
Export PDF
Adobe Export PDF
a and b can be obtained from the following two conditions:
Convert PDF Files to Word
or Excel Online
1. The integral of dN, for all speeds being between zero and infinite, is equal
Select PDF File
to the total number of molecules:
03. Vacuum.s Laws.pdf
Convert to
Microsoft Word (*.docx)
dN Ν
| b3 exp[-a(v²)] d³v = 1
Document Language:
v=D0
English (U.S.) Change
2. The square root of v² is equal to 3kT/m:
Convert
v→00
1
v2
3kT
v?b³ exp[-a(v²)] d³v =
v² dN
m
v=0
Edit PDF
The above two conditions lead to the following two equations for a and b
Create PDF
E Comment
а
2kT
a3
b =
b3
a
i Combine Files
m
E0 Organize Pages
By solving these equations, a and b are derived
A Comrese DDE
m
m
Convert, edit and e-sign PDF
forms & agreements
b =
V 2nkT
a =
2kT
Free 7-Day Trial
P O ll >
ENG
9:16 AM
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