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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And finally, we have
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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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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
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P O ll >
ENG
9:16 AM
Transcribed Image Text:03. Vacuum Techniques-Gas Laws.pdf - Adobe Acrobat Reader DC (32-bit) File Edit View Sign Window Help Home Tools 03. Vacuum Techni. x Sign In 8 / 11 125% 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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