Chapter 3 (Flotation)
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Transcript of Chapter 3 (Flotation)
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7/21/2019 Chapter 3 (Flotation)
1/13
EO@X]DR5
GAC]@]LCI
X`jd 0cg 05
Eo`ptdr 5
Gact`tlci
Dxdrelsd -5
@iswdr 0
Jlvdi>-
0. Mlkdislcis cg wccmdi acj ; ?k * 2k * 2k
2. Mr`gt `t GZ ; 0.7k
RM cg GZ ; 0.888
Wcaukd mlspa`edm by acj ; A * B *mr`gt
Wcaukd mlspa`edm by acj ; ? * 2 * 0.7
Wcaukd mlspa`edm by acj ; 24.7k5
RM cg GZ ; K`ss cg acj
Wcaukd cg w`tdr mlspa`edm
0.888 ; K`ss cg acj
24.7
24.7 t ; k`ss cg acj
Wcaukd cg acj ; A * B O
Wcaukd cg acj ; ? * 2 * 2
Wcaukd cg acj ; 52k5
Mdislty cg acj ; K`ss cg acj
Wcaukd cg acj
?k
2k
2k
0.7k
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7/21/2019 Chapter 3 (Flotation)
2/13
EO@X]DR5
GAC]@]LCI
X`jd 2cg 05
Mdislty cg acj ; 24.7t
52.8k5
Mdislty cg acj ; 8.?t/k5
0.
K`ss cg acj ls 24.7t2. Mdislty cg acj ls 8.?t/k
5
@iswdr 2
Jlvdi>-
0.
Mlkdislcis cg acj ; 4k * 0.7k * 0k
2. K`ss cg acj ; 7t
Wcaukd cg acj ; A * B * O
Wcaukd cg acj ; 4 * 0.7 * 0
Wcaukd cg acj ; ?k5
Mdislty cg acj ; K`ss cg acj
Wcaukd cg acj
Mdislty cg acj ; 7
?
Mdislty cg acj ; 8.:4 t/k
5
RM ; Mdislty cg acj
Mdislty cg GZ
RM ; 8.:4
0.8
RM ; 8.:4
K`ss cg UZ mlspa`edm ; 7t
4k
0.7k
0k
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7/21/2019 Chapter 3 (Flotation)
3/13
EO@X]DR5
GAC]@]LCI
X`jd 5cg 05
Mdislty cg UZ ; K`ss cg acj
Wcaukd mlspa`edm
0.824t/k5 ; 7t .
A * B * mr`gt
0.824t/k5 ; 7t .
4 * 0.7 * mr`gt
Mr`gt ; 7 .
4 * 0.7 * 0.824
Mr`gt ; 8.:52k
0. Mr`gt li UZ ls 8.:52k
2. RM cg acj ls 8.:4
@iswdr 5
Jlvdi>-
0. Brd`to cg acj ; 5k
2.
Odljot cg acj ; 2k
5.
RM cg w`tdr ; 0.80
=.
Mdislty cg acj ; 8.:t/k5
Adt adijto cg acj ; a
Adt mr`gt cg acj ; m
Mdislty cg acj ; K`ss cg acj
Wcaukd cg acj
8.: ; K`ss cg acj
5 * 2 * a
5k2k
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7/21/2019 Chapter 3 (Flotation)
4/13
EO@X]DR5
GAC]@]LCI
X`jd =cg 05
8.: * 5 * 2 * a ; k`ss cg acj
Mdislty cg w`tdr; K`ss cg acj
Timdr w`tdr Wcaukd
0.80 ; 8.: * 5 * 2 * aa * 5 * m
0.80 * 5 * a *m ; 8.: * 5 * 2 * a
m ; 0.5?7k
0. Mr`gt cg acj ls 0.5?7k
@iswdr =
Jlvdi>-
0.
Ml`kdtdr cg eyalimdr ; 2k
2. Adijto cg eyalimdr ; 08k
5. Mr`gt ; 8.7 k
RM cg GZ ; 0.888
IC]D > WCATKD CG @I\ 5 MLKDIULCI@A TILGCRK CBNDE] LU JLWDI B\ ]OD GCRKTA@
B@UD @RD@ * ODLJO]
@rd` cg sdjkdit BME ; @rd` cg sdetcr @BME@rd` cg trl`ijad @BE
@B ; @M ; @E ; 0k (R`mlus cg tod elread)
@D + DM ; @M
@D ; @MDM
@D ; 0k8.7k
2k
@
B
M
D E
8.7k
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7/21/2019 Chapter 3 (Flotation)
5/13
EO@X]DR5
GAC]@]LCI
X`jd 4cg 05
@D ; 8.=k
Li rljot `ijad trl`ijad @DE
(@D)2+ (DE)
2; (@E)
2 (Xyto`jcr`s ]odcrdk)
(8.=)2+ (DE)
2; (0)
2
(DE)2; (0)
2(8.=)
2
(DE)2; 08.07
(DE)2; 8.?=
DE ; 8.?=
DE ; 8.
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7/21/2019 Chapter 3 (Flotation)
6/13
EO@X]DR5
GAC]@]LCI
X`jd 7cg 05
B@E ; 77.=2 + 77.=2
B@E ; 052.?=
@rd` cg sdetcr @BME ; * * r2
578
@rd` cg sdetcr @BME ; 052.?= * 22 * (0)2
578 * :
@rd` cg sdetcr @BME ; 0.04
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7/21/2019 Chapter 3 (Flotation)
7/13
EO@X]DR5
GAC]@]LCI
X`jd :cg 05
@iswdr 4
Jlvdi>-
0. Adijto cg trl`ijua`r b`rjd ; 28k
2.
Brd`to cg trl`ijua`r b`rjd ; 02 k5.
Mdpto cg trl`ijua`r b`rjd ; 87k
=. Mr`gt cg trl`ijua`r b`rjd ; 8=k
BJ ; JE (@J ls pdrpdimleua`r blsdetcr ci BE)
BJ ; JE ; 7k
Li trl`ijad @JE `im trl`ijad @GD
0. D@G ; D@G (Eckkci `ijad)
2.
@GD ; @JE (Ecrrdspcimlij `ijads)
5.
@DG ; @EJ (Ecrrdspcimlij `ijads)
]rl`ijad @JE ls slkla`r tc trl`ijad @GD by @@@ slkla`rlty.
Zd ficw to`t slmds cg slkla`r trl`ijad `rd li dqu`a r`tlci,
Uc
@G ; DG
@J JE
= ; DG
7 7
= * 7 ; DG7
@
M
B E
DG
J02 k
7k
=k
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7/21/2019 Chapter 3 (Flotation)
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EO@X]DR5
GAC]@]LCI
X`jd ?cg 05
=k ; DG
DG ; GM (@G ls pdrpdimleua`r blsdetcr ci MD)
=k ; GM
DM ; DG + GM
DM ; =k + =k
DM ; ?k
@rd` cg trl`ijad @MD ; 0 * B`sd * Odljot
2
@rd` cg trl`ijad @MD ; 0 * MD * G@
2
@rd` cg trl`ijad @MD ; 0 * ? * =
2
@rd` cg trl`ijad @MD ; 07k2
Mdislty cg UZ ; K`ss cg b`rjd
Timdrw`tdr Wcaukd cg b`rjd
Mdislty cg UZ ; K`ss cg b`rjd
Timdrw`tdr surg`ed `rd` cg b`rjd * adijto
0.824 ; K`ss cg b`rjd
07 *28
0.824 * 07 * 28 ; K`ss cg b`rjd
52? t ; K`ss cg b`rjd
@iswdr 7
Jlvdi>-
0. Ml`kdtdr cg mruk ; 0.2k
2. Odljot cg mruk ; 2k
5.
RM cg w`tdr ; 0.807
=.
Mr`gt ; 0.=k
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7/21/2019 Chapter 3 (Flotation)
9/13
EO@X]DR5
GAC]@]LCI
X`jd
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7/21/2019 Chapter 3 (Flotation)
10/13
EO@X]DR5
GAC]@]LCI
X`jd 08cg 05
@iswdr :
Jlvdi>-
0. Adijto cg b`rjd ; 08k
2.
Brd`to cg b`rjd ; 4k5.
Liltl`a mr`gt ; 5k
=. Gli`a mr`gt ; 0k
RM cg UZ ; 0.824
Mdislty cg UZ ; Liltl`a k`ss cg b`rjd
Timdrw`tdr Wcaukd cg b`rjd
0.824 ; Liltl`a k`ss cg b`rjd
A * B * mr`gt
0.824 ; Liltl`a k`ss cg b`rjd
08 * 4 * 5
045.:4t ; Liltl`a k`ss cg b`rjd
Mdislty cg UZ ; Gli`a k`ss cg b`rjd
Timdrw`tdr vcaukd cg b`rjd
Mdislty cg UZ ; Gli`a k`ss cg b`rjd
A * B * mr`gt
0.824 ; Gli`a k`ss cg b`rjd
08 * 4 * 0
0.824 * 08 * 4 * 0; Gli`a k`ss cg b`rjd
08 k
4 k0 k5 k
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7/21/2019 Chapter 3 (Flotation)
11/13
EO@X]DR5
GAC]@]LCI
X`jd 00cg 05
40.24 t ; Gli`a k`ss cg b`rjd
Ac`m ci er`id ; eo`ijd li mlspa`edkdit
Ac`m ci er`id ; Liltl`a mlspa`edkditGli`a mlspa`edkdit
Ac`m ci er`id ; 045.:4t40.24t
Ac`m ci er`id ; 082.4t
Ac`m ci er`id ls 082.4 t
@iswdr ?
Jlvdi>-
0. Adijto cg bcx ; 2.=k
2.
Zlmto cg bcx ; 0.2k
5.
Odljot cg bcx ; 8.?k
=. RM cg w`tdr ; 0.802
4. Mr`gt cg bcx ; 8.2k
Grddbc`rm cg bcx ; ]ct`a odljotMr`gt cg bcx
Grddbc`rm cg bcx ; 8.?k8.2k
Grddbc`rm cg bcx ; 8.7k
RM cg w`tdr ; K`ss cg UZ tc pcur
Wcaukd bcvd w`tdr
RM cg w`tdr ; K`ss cg UZ tc pcur
A * B * Grddbc`rm
0.802 ; K`ss cg UZ tc pcur
2.=k * 0.2k * 8.7k
2.= k
0.2 k
8.? k
8.2 k
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7/21/2019 Chapter 3 (Flotation)
12/13
EO@X]DR5
GAC]@]LCI
X`jd 02cg 05
0.802 * 2.= * 0.2 * 8.7 ; K`ss cg UZ tc pcur
0.:=< t ; K`ss cg UZ tc pcur
K`xlkuk `kcuit cg UZ to`t e`i bd pcurdm litc wltocut sliflij ls 0.:=-
0. Mlspa`edkdit cg UZ ; 0?=48t
2.
Adijto cg vdssda ; 048k
5.
Brd`to cg vdssda ; 28 k
RM cg UZ ; 0.824
RM cg UZ ; Mlspa`edkdit
Timdrw`tdr Wcaukd
RM cg UZ ; Mlspa`edkdit
A * B * mr`gt
0.824 ; 0?=48
048 * 28 * mr`gt
0.824 * 048 * 28 * mr`gt ; 0?=48
Mr`gt ; 0?=48
0.824 * 048 * 28
Mr`gt ; 7k
Mr`gt cg tod vdssda ls 7k
048 k
28 k
0?=48 t
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7/21/2019 Chapter 3 (Flotation)
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EO@X]DR5
GAC]@]LCI
X`jd 05cg 05
@iswdr 08
Jlvdi>-
0. Adijto cg vdssda ; 028k
2.
Brd`to cg vdssda ; 04k5.
RM cg MZ ; 0.884
=. Mr`gt ; 4k
4. K`xlkuk pdrklsslbad mr`gt ; 7k (li UZ)
IC]D > GCR @ BC_ UO@XDM WDUUDA MDIUL]\ LU LIWDRUDA\ XRCXCR]LCI@A ]C MR@G]
Adt liltl`a mr`gt li UZ ; x
4 ; 0.824
_ 0.884
4 * 0.884 ; x
0.824
=.