pump out time for a vacuum system
TRANSCRIPT
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Viscous 6 6 4
Transition
Molecular
length of pipe(L1) P1 P2 P
150 1.7!"04 75#12.$62 $7##06.10 56#5#.27
150 1.7!"04 $7##06.11 1##5$.0#04 24#2#.64
150 1.7!"04 1##5$.0# #4#76.5452 142464.2
150 1.7!"04 #4#76.5452 474.2726 712$2.40#
150 1.7!"04 474.2726 2$744.1$6$ $5616.204
150 1.7!"04 2$744.1$6$ 1172.0615 170.102
150 1.7!"04 1172.062 5#$6.0$4075 #04.0511
150 1.7!"04 5#$6.0$40 2#6.0170$75 4452.0256
150 1.7!"04 2#6.01704 144.005175 2226.012
150 1.7!"04 144.0052 742.00425#$75 111$.0064
150 1.7!"04 742.00425# $71.00212#6 556.50$1#
150 1.7!"04 $71.0021$ 15.50106444 27.2516
150 1.7!"04 15.501065 #2.7505$2421# 1$#.125
150 1.7!"04 #2.7505$24 46.$75266210# 6#.562##
150 1.7!"04 46.$752662 2$.176$$1055 $4.7145
150 1.7!"04 2$.176$$1 11.5#$165527 17.$#0725
150 1.7!"04 11.5#$166 5.7#6#02764 .6#5$624
150 1.7!"04 5.7#6#02 2.#4541$2 4.$47612
150 1.7!"04 2.#45414 1.44#22706#1 2.17$406
150 1.7!"04 1.44#22707 0.72461$5$45 1.06#20$
150 1.7!"04 0.72461$5$ 0.$62$06767$ 0.54$4602
%ia&eter ofthe port atP'V(c&)
%ia&eter of thepipe(c&)
%ia&eterof the portatPu&p(c&)
* $.$ +10"5 (,-4P/L)
* $.$+ 10"5 (,-4P/L) (10,-$L)
* (2.7M)-12( T2#$)-12 f ,-2
t*(Ve)3(ef Le8ol%)
Viscosit ofair(/)
ef VV rao lectures
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150 1.7!"04 0.$62$0677 0.1115$$$6 0.2717$01
150 1.7!"04 0.1115$$ 0.0#05766#1 0.1$565
150 1.7!"04 0.0#05766# 0.0452$45# 0.067#$25
150 1.7!"04 0.0452$5 0.02264417$ 0.0$$#66$
150 1.7!"04 0.02264417 0.011$22065 0.016#$1
150 1.78E-04 0.0113221 0.0056610432 0.008492
150 1.7!"04 0.00566104 0.002$05216 0.004245
150 1.7!"04 0.002$052 0.001415260 0.002122#
150 1.78E-04 0.0014153 0.0007076304 0.001061
150 1.7!"04 0.0007076$ 0.000$5$152 0.0005$07
150 1.7!"04 0.000$5$2 0.000176#076 0.0002654
150 1.78E-04 0.0001769 8.84538E-005 0.000133
150 1.7!"04 .454!"005 4.4226#00!"005 6.6$!"005
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0.5 75#12.$6 2$6#.1$ $#72.241$
, P, egi&e
6 $41#156 Viscous 5.00!"01 #.1$!05 4.20!01
6 170#57 Viscous 5.00!"01 4.56!05 4.20!01
6 547.#1 Viscous 5.00!"01 2.2!05 4.20!01
6 427$#4.45 Viscous 5.00!"01 1.14!05 4.20!01
6 21$6#7.2$ Viscous 5.00!"01 5.70!04 4.20!01
6 1064.61 Viscous 5.00!"01 2.5!04 4.20!01
6 5$424.$07 Viscous 5.00!"01 1.4$!04 4.20!01
6 26712.15$ Viscous 5.00!"01 7.1$!0$ 4.20!01
6 1$$56.077 Viscous 5.00!"01 $.57!0$ 4.20!01
6 667.0$$ Viscous 5.00!"01 1.7!0$ 4.20!01
6 $$$#.01#2 Viscous 5.00!"01 .#1!02 4.20!01
6 166#.50#6 Viscous 5.00!"01 4.46!02 4.20!01
6 $4.7547# Viscous 5.00!"01 2.2$!02 4.20!01
6 417.$774 Transition 5.00!"01 1.26!02 4.20!01
6 20.67 Transition 5.00!"01 7.01!01 4.20!01
6 104.$44$5 Transition 5.00!"01 4.2$!01 4.20!01
6 52.172174 Transition 5.00!"01 2.$!01 4.20!01
6 26.0607 Transition 5.00!"01 2.14!01 4.20!01
6 1$.04$044 &olecular 5.00!"01 1.0!01 4.20!01
6 6.521521 &olecular 5.00!"01 1.0!01 4.20!01
6 $.260760# &olecular 5.00!"01 1.0!01 4.20!01
f(8ase% onL,)conser9ati9e 9alue
initialpressure ofP'V(&icron)
ulti&atepressure ofpu&p(&icron)
ulti&atepressurere:uire% inP'V(&icron)
surface areaofalu&ina(c&2)
surface areaof (c&2)
0.00000$750$0706 5
0.00750061561$
f(8ase% onL,)conser9ati9e9alue
pu&pingspee%(ls)
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6 1.6$0$05 &olecular 5.00!"01 1.0!01 4.20!01
6 0.151#02 &olecular 5.00!"01 1.0!01 4.20!01
6 0.4075#51 &olecular 5.00!"01 1.0!01 4.20!01
6 0.20$7#76 &olecular 5.00!"01 1.0!01 4.20!01
6 0.101# &olecular 5.00!"01 1.0!01 4.20!01
6 0.050949 molecular 5.00E-01 1.80E+01 4.20E+01
6 0.0254747 &olecular 5.00!"01 1.0!01 4.20!01
6 0.0127$7$ &olecular 5.00!"01 1.0!01 4.20!01
6 0.006369 molecular 5.00E-01 1.80E+01 4.20E+01
6 0.00$14$ &olecular 5.00!"01 1.0!01 4.20!01
6 0.0015#22 &olecular 5.00!"01 1.0!01 4.20!01
6 0.000796 molecular 5.00E-01 1.80E+01 4.20E+01
6 0.000$# &olecular 5.00!"01 1.0!01 4.20!01
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1.00!"0 1.00!"0 2.$7!"05 $.#7!"05 6.$4!"05
1e e(ls) e(&$h)
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.1#!01 1.51!02 4.00!"02 .00!00
2.$#!"02 4.1#!01 1.51!02 4.00!"02 .00!00
2.$#!"02 4.1!01 1.50!02 4.00!"02 .00!00
2.41!"02 4.15!01 1.4#!02 4.00!"02 .00!00
2.44!"02 4.10!01 1.4!02 4.00!"02 .00!00
2.4#!"02 4.01!01 1.44!02 4.00!"02 .00!00
2.61!"02 $.4!01 1.$!02 4.00!"02 .00!00
2.$!"02 $.5$!01 1.27!02 4.00!"02 .00!00
$.1!"02 $.15!01 1.1$!02 4.00!"02 .00!00
$.1!"02 2.6$!01 #.46!01 4.00!"02 .00!00
4.75!"02 2.11!01 7.5!01 4.00!"02 .00!00
5.#1!"02 1.6#!01 6.0#!01 4.00!"02 .00!00
7.06!"02 1.42!01 5.10!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
outgassing rate ofalu&ina(torrlitresecc&2)
outgassing rateof (torrlitresecc&2)
total gase9olution fro&;lu&ina(torr"litresec)
total gase9olution fro&;lu&ina(torr"litresec)
total gase9olution fro&;lu&ina
Volu&e ofP'V(&$)
(fro& le8ol%<gure 2.75(seee+a&ple pg=6))
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7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.94E-02 1.26E+01 4.54E+01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.94E-02 1.26E+01 4.54E+01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
7.94E-02 1.26E+01 4.54E+01 4.00!"02 .00!00
7.#4!"02 1.26!01 4.54!01 4.00!"02 .00!00
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e(&$hr)
2.12#0#01 2.25!"05
0.00471$62 17.5$6#0$757 0.2#22172#
0.0047156 17.5$77106$$ 0.2#22#5177
0.004720$5 17.5$#$24$5 0.2#2$2207$
0.00472#$1 17.542551# 0.2#2$7565
0.00474724 17.54#006# 0.2#24$44
0.0047$1 17.561#16#2 0.2#26#615
0.004542 17.577$6#6 0.2#$12#4#
0.004##27 17.6$#$770$# 0.2#$##617
0.004#2516 17.7426571# 0.2#5710#5$
0.004#5#4 17.#4#217516 0.2##15$625
0.00510064# 1.$62$$152 0.$060$#6#
0.005$$0161 1#.157#424 0.$1#0#657
0.0057#14 20.41061#6 0.$47$510$$
0.0064#71 2$.$#55###$ 0.$#26
0.0077#117 2.0402020# 0.467$4700$
0.00#712717 $4.#6577#757 0.52762##6
0.0120#$1# 4$.5$541155 0.7255#1$5$
0.014447$7 52.01055#2## 0.6642655
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
>aushal?iter"in%ia.org
pu&p %o@nti&e(hr)
pu&p %o@nti&e insecon%s
pu&p %o@nti&e in&inutes
ef Le8ol%A
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0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.0162$7127 5.45$65626 0.#74227604
0.2618343 942.6034896 15.7100582
0.0162$7127 5.45$65626
0.0162$7127 5.45$65626 1
0.0162$7127 5.45$65626 2
0.0162$7127 5.45$65626 $
0.0162$7127 5.45$65626 4
0.0162$7127 5.45$65626 5
0.0162$7127 5.45$65626 6
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ref fro& VV rao lectures
g=6
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Viscous 6 6 4
Transition
Molecular
length of pipe(L1) P1 P2 P
150 1.7!"04 75#12.$62 $7##06.10 56#5#.27
150 1.7!"04 $7##06.11 1##5$.0#04 24#2#.64
150 1.7!"04 1##5$.0# #4#76.5452 142464.2
150 1.7!"04 #4#76.5452 474.2726 712$2.40#
150 1.7!"04 474.2726 2$744.1$6$ $5616.204
150 1.7!"04 2$744.1$6$ 1172.0615 170.102
150 1.7!"04 1172.062 5#$6.0$4075 #04.0511
150 1.7!"04 5#$6.0$40 2#6.0170$75 4452.0256
150 1.7!"04 2#6.01704 144.005175 2226.012
150 1.7!"04 144.0052 742.00425#$75 111$.0064
150 1.7!"04 742.00425# $71.00212#6 556.50$1#
150 1.7!"04 $71.0021$ 15.50106444 27.2516
150 1.7!"04 15.501065 #2.7505$2421# 1$#.125
150 1.7!"04 #2.7505$24 46.$75266210# 6#.562##
150 1.7!"04 46.$752662 2$.176$$1055 $4.7145
150 1.7!"04 2$.176$$1 11.5#$165527 17.$#0725
150 1.7!"04 11.5#$166 5.7#6#02764 .6#5$624
150 1.7!"04 5.7#6#02 2.#4541$2 4.$47612
150 1.7!"04 2.#45414 1.44#22706#1 2.17$406
150 1.7!"04 1.44#22707 0.72461$5$45 1.06#20$
150 1.7!"04 0.72461$5$ 0.$62$06767$ 0.54$4602
150 1.7!"04 0.$62$0677 0.1115$$$6 0.2717$01
150 1.7!"04 0.1115$$ 0.0#05766#1 0.1$565
150 1.7!"04 0.0#05766# 0.0452$45# 0.067#$25
150 1.7!"04 0.0452$5 0.02264417$ 0.0$$#66$
150 1.7!"04 0.02264417 0.011$22065 0.016#$1
%ia&eter ofthe port at
P'V(c&)
%ia&eter of the
pipe(c&)
%ia&eterof the portat
Pu&p(c&)
* $.$ +10"5 (,-4P/L)
* $.$+ 10"5 (,-4P/L) (10,-$L)
* (2.7M)-12( T2#$)-12 f ,-2
t*(Ve)3(ef Le8ol%)
Viscosit ofair(/)
ef VV rao lectures
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150 1.78E-04 0.0113221 0.0056610432 0.008492
150 1.7!"04 0.00566104 0.002$05216 0.004245
150 1.7!"04 0.002$052 0.001415260 0.002122#
150 1.78E-04 0.0014153 0.0007076304 0.001061
150 1.7!"04 0.0007076$ 0.000$5$152 0.0005$07
150 1.7!"04 0.000$5$2 0.000176#076 0.0002654
150 1.78E-04 0.0001769 8.84538E-005 0.000133
150 1.7!"04 .454!"005 4.4226#00!"005 6.6$!"005
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0.5 75#12.$6 2$6#.1$ $#72.241$
, P, egi&e
4 227#4$7 Viscous 5.00!"01 1.0!05 4.20!01
4 11$#71# Viscous 5.00!"01 #.02!04 4.20!01
4 56#5#.27 Viscous 5.00!"01 4.51!04 4.20!01
4 24#2#.64 Viscous 5.00!"01 2.25!04 4.20!01
4 142464.2 Viscous 5.00!"01 1.1$!04 4.20!01
4 712$2.40# Viscous 5.00!"01 5.6$!0$ 4.20!01
4 $5616.204 Viscous 5.00!"01 2.2!0$ 4.20!01
4 170.102 Viscous 5.00!"01 1.41!0$ 4.20!01
4 #04.0511 Viscous 5.00!"01 7.04!02 4.20!01
4 4452.0256 Viscous 5.00!"01 $.52!02 4.20!01
4 2226.012 Viscous 5.00!"01 1.76!02 4.20!01
4 111$.0064 Viscous 5.00!"01 .0!01 4.20!01
4 556.50$1# Viscous 5.00!"01 4.40!01 4.20!01
4 27.2516 Transition 5.00!"01 2.6$!01 4.20!01
4 1$#.125 Transition 5.00!"01 1.5$!01 4.20!01
4 6#.562## Transition 5.00!"01 #.77!00 4.20!01
4 $4.7145 Transition 5.00!"01 7.02!00 4.20!01
4 17.$#0725 Transition 5.00!"01 5.64!00 4.20!01
4 .6#5$624 &olecular 5.00!"01 .00!00 4.20!01
4 4.$47612 &olecular 5.00!"01 .00!00 4.20!01
4 2.17$406 &olecular 5.00!"01 .00!00 4.20!01
4 1.06#20$ &olecular 5.00!"01 .00!00 4.20!01
4 0.54$4602 &olecular 5.00!"01 .00!00 4.20!01
4 0.2717$01 &olecular 5.00!"01 .00!00 4.20!01
4 0.1$565 &olecular 5.00!"01 .00!00 4.20!01
4 0.067#$25 &olecular 5.00!"01 .00!00 4.20!01
f(8ase% onL,)conser9ati
9e 9alue
initialpressure ofP'V(&icr
on)
ulti&atepressure of
pu&p(&icron)
ulti&atepressurere:uire% in
P'V(&icron)
surface areaof
alu&ina(c&2)
surface area
of (c&2)
0.00000$750$0706 5
0.00750061561$
f(8ase% onL,)conser9ati9e9alue
pu&pingspee%(ls)
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4 0.033966 molecular 5.00E-01 8.00E+00 4.20E+01
4
4
4 0.016#$1 &olecular 5.00!"01 .00!00 4.20!01
4 0.004#16 &olecular 5.00!"01 .00!00 4.20!01
4 0.004246 molecular 5.00E-01 8.00E+00 4.20E+01
4 0.002122# &olecular 5.00!"01 .00!00 4.20!01
4 0.0010614 &olecular 5.00!"01 .00!00 4.20!01
4 0.000531 molecular 5.00E-01 8.00E+00 4.20E+01
4 0.0002654 &olecular 5.00!"01 .00!00 4.20!01
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1.00!"0 1.00!"0 2.$7!"05 $.#7!"05
1e e(ls) e(&$h)
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$!"02 4.20!01 1.51!02 4.00!"02 .00!00
2.$#!"02 4.1#!01 1.51!02 4.00!"02 .00!00
2.$#!"02 4.1!01 1.51!02 4.00!"02 .00!00
2.40!"02 4.17!01 1.50!02 4.00!"02 .00!00
2.42!"02 4.14!01 1.4#!02 4.00!"02 .00!00
2.45!"02 4.0!01 1.47!02 4.00!"02 .00!00
2.52!"02 $.#6!01 1.4$!02 4.00!"02 .00!00
2.66!"02 $.75!01 1.$5!02 4.00!"02 .00!00
2.#5!"02 $.$#!01 1.22!02 4.00!"02 .00!00
$.52!"02 2.4!01 1.02!02 4.00!"02 .00!00
4.65!"02 2.15!01 7.74!01 4.00!"02 .00!00
6.1#!"02 1.62!01 5.2!01 4.00!"02 .00!00
.#$!"02 1.12!01 4.0$!01 4.00!"02 .00!00
1.26!"01 7.#$!00 2.5!01 4.00!"02 .00!00
1.66!"01 6.01!00 2.16!01 4.00!"02 .00!00
2.01!"01 4.#7!00 1.7#!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
outgassing rate ofalu&ina(torr
litresecc&2)
outgassing rateof (torr
litresecc&2)
total gase9olution fro&;lu&ina(torr"
litresec)
total gase9olution fro&;lu&ina(torr"
litresec)
Volu&e ofP'V(&$)
(fro& le8ol%<gure 2.75(seee+a&ple pg=6))
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1.49E-01 6.72E+00 2.42E+01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.49E-01 6.72E+00 2.42E+01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
1.49E-01 6.72E+00 2.42E+01 4.00!"02 .00!00
1.4#!"01 6.72!00 2.42!01 4.00!"02 .00!00
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6.$4!"05
0.0047227$ 17.540116#1 0.2#2$$6$62
0.0047$407 17.544266502 0.2#2404442
0.00475677 17.5524$6124 0.2#2540602
0.0040215 17.56775$6 0.2#212#2$
0.004#2#$ 17.60145$56 0.2#$$57564
0.004#07447 17.66610$2 0.2#444647
0.004#4$757 17.7#75247$ 0.2#662541$
0.005016$76 1.05#5265 0.$00#2545
0.00516161$ 1.5104# 0.$0#6#60
0.0054520# 1#.6275201 0.$27125$$5
0.0060$$04 21.71#4$$1# 0.$61#2$#
0.0071#4#42 25.#017#75 0.4$16#64#6
0.00#51745 $4.267426$6 0.571124711
0.012657045 45.565$627 0.75#42271$
0.012676#2 65.76$6#0$57 1.0#6061506
0.0251$$26 #2.#27#7$22# 1.547##554
0.0$402$$4$ 122.440$52 2.04140057
0.0411$0$1 14.070##27 2.4674#7
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
0.0$044461$ 10#.6006055 1.2667675
total gase9olutionfro&
;lu&ina
pu&p %o@nti&e(hr)
pu&p %o@nti&e insecon%s
pu&p %o@nti&e in&inutes
ef Le8ol%A
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0.0$044461$ 10#.6006055 1.2667675
0.47851262 1722.64545 28.7107575
0.0$044461$ 10#.6006055
0.0$044461$ 10#.6006055 1
0.0$044461$ 10#.6006055 2
0.0$044461$ 10#.6006055 $
0.0$044461$ 10#.6006055 4
0.0$044461$ 10#.6006055 5
0.0$044461$ 10#.6006055 6
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ref fro& VV rao lectures
g=6
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