Modelación matemática del proceso de reducción para la obtención de ferroníquel

(1)

&'()(*+#',-)#.',*+$

23456

789 :;1

<7=

5<>=

9

871

456

1 ?@385A31

451 @54B889

:;1

?7@71

6

71 3C=

5;89

:;1

1

451 D

5@@3;E

FB56

1

G((HIJ-)(KGL MNJIJ-)(K" .(O)PQR, .-PSJ'(H&*T

N-U3VWX327

!*JR,Y,(',J'H**-''(RJ ),'(R*ZT[-JS,(**JH'-'(H*)J' ,(JPNK,('H\JH(H,*'-'( H[-'ZJ*J,Y,('*(Y('PJZ-*,'(R '(,TZ('H)J'-JZ-),(*HSJ,HZ'(R*JH '-'(H*)J',(JPNK,('H'H(*JH ('(JHR\(*HPJ,H[-'J(J]JHNHH* J')-H,(RPJH,,-H*J,(J]*JH*H*J ^P*JHNHH*-',H!),--H(H,*'-'(H *(Z'(JH*(*]'J,*H',H'-'(H JN)('H[-H,)J'JJ'(R,JH'Z('(,HPJH Y,HZTH('H

_66`46V7a6b37

(2)

012134156787929178772211567777

!

"#

$%#

#

!

&'

$(

(

))$&!

"*#

)%+"

!

$&

,)$"--

./0123415

7671632876951883979:7717152397921;;7:97717:1932<187 952397=;72968115>7?;157977171@39;79:76;;757 1197 821A7 7 ;;167 9:7 1@39;7 :96397 7 56327 671632876951873;71;1157;7=1887;7717;2313:327:9539;7 97=73277717=1179315>7B7176379C351;75718161;7 6318;7172969;1579:A7296;3979;1;757717161179:7 717613879:729;23979:7717:217=88;7579:7717152397 9;1;7=11729;351157:97717;:963979:77176;;7571197 82171@39;>77;;1679:7:3;7951753::113871@39;A7 2968161157=37797178913271@39;71;83;739771718397 1=117291::3231;7577;3287611;A7=;793157

DEF5GH2I05

J7163287 69518839K7 32<187 15239K7 :1932<18K7 61387 821K71197821>7

(3)

&'()*+,--&.'7

/0123445226710892674:;<50=>?@A96 05B5C4303D096103E025096509B44 210F644434015946394093:2643EG <50632537045901;4450403 19;250345CB9E36986H2540603 259641830346:93CB3I540 6039J0CE093:26420259H34 0351:626432586940960466B64C2603B33G 9H340351:62625869466B64C260:296E964 259<545939123096026820183 043146:6390393;3:549034 9363674020K2452267E22267G46267L0351:626 4325869406026820403B33122267G1 46267G4014E146267L693<50351:626 258694060E26840142012452267M03 229;3962323952963G9207B62340CE040 9J962482:34692526346:26034 164/08F9643998F:539802040 9J96240123445226710892674:;<50 C34303D096103

0N(*+*O*9PQ7

0R36S1T27R37U7V4S3UU7R37W462UX3432S167R37Y6U67

M<59B05B01234452267E06048:056 29269203B3345293G354323E 2325969332E32069G3452E3BD03 2263<5364622965267=Z>;E " AK

[\ [

a

`^

_

\[\ [\

]

bc

a

`^

[\

]

_

^

[\

]

bc

^

e

d

f

e

d

e

d 7

[\ [

a

`^

_

\[\ [\

]

gh

a

`^

[\

]

_

^

[\

]

gh^

e

d

f

e

d

e

d 7

[\ [

a

`^

_

\[\

]

gh

^

[\

a

`^

[\

]

_

^

[\

]

^

gh

d j d

i

j i d d

(4)

&' &

,

+)

*

'&'

(

-.)

&'

,

+)

&'

(

*

)

&'

(

)

-.

1 0 /

2

/ /

/

3

4

3

7

&' &

,

+)

*

'&' &'

(

+5

,

+)

&'

(

*

)

&'

(

+5)

3

/

4

3

/

3

/ 7

6789:87;<=:=>78=?@A87=?@7@<B C@;=;=78:C<7@78D;<<78;;;<=778= ?@A87=EFGA " HI

J K L

/

M 3

3

4 N

Q+

_QR

O

P

+

O

+

O

+

O EH

S;I

TUVWTUXYVWTUXZW[W\7:78=;<=7C:=]^Z_`VW]^`_aVW]^_VW

bU_VWTc_W<BW

dVWeVWfIg;;778D7=C7:7;7C:

67=::;<78;;;778D=:h=:7B:<78; 7<:C:@i:<;C;78C@;=;=78:C< 7@78D;jB8@=EjB8@=k"" k" HI

&'

_l

ml

n

.

o

P

4

N EH S;I

pI\>878:CqC78<krsY

tIuvA;7:878Dkwxyzc{S:8<;;7@< 778D?@A878;87<v;;;C;78;<778D;< :C:@

|I\=::@8=<;<=v==E"k!wxyzc{W}H

lWI~C:@=<@:;<:8<k}W

(5)

&'()*+,+-./012345523000323605273000

1/1723,8

9:

< ; <

<

_@

₌

_@

₌

_?

_>

₌

AB

A=

?

G

I _CDB

F

H

F

E

J!K

L08

&MNOPMNOQ8R1ST5/U1070S1530V1W2737

+,XYZMN+,N8[27231052W70535515S

5T5/U070

+-8[27236052W7-05T1\11J0/27K

]5W573705452073503^32W5165305 W210R_`J1\a52/236!K55bW1310573W8

9 :

c

H

d

e

H < <

f < f =g < =g

<

_hj

_?

_i

_>

_i

_>

_i

_hCi

AB

Ai

?

k

G

JlK

hj hC ? > i > i > i > i > i i > i > i > i > i > i i AB A? f =mg =mg f i<g i<g f nCg nCg f g nC g nC f g nC g nC f =g =mg =mg =g i<g i<g =g nCg nCg =g g nC g nC =g g nC g nC =g F G k k k k k k F F k k k op q o q r H H H H s t s t H t H t H H s t s t t H t

H JuK

L08

&8R12//5236035J273000350705 vK

wXMNwx8`5/U1070S153007351W2737MNyz{x N,781/4|03221W037516b301}XQ~MN}X~MN}X~MN,~MN

+~

',+~MN',Q8[177052300022360}XQ~MN}X~MN}X~MN

,~M+~W512W7105250\10/27 W50

,MN,8[73000}XQ~MN}X~MN}X~MN,~MN+~MN}XMN,MN+5T5/U

070S0153005351W2737

(6)

&'()*+,-.-/0-1(2*+&/2013+/&21 +0&'/12*,4567 " 89

:

;

<

=

> ? @ A B A B B @ B @ @ A C @@ D EFGH I D JI JKI JKI JI LFI LFI JI MHI MHI JI I MH I MH JI I MH I MH D NHL N L O L O L O L O L O L O L P NQ RS RL T U V V W W V V V V _4X8

:

;

<

=

> Y @ @ @ @ @ A B A B @ B @ B @ @ A C @@ Z EFGH I Z [ JKI JKI [ LFI LFI [ MHI MHI [ I MH I MH [ I MH I MH Z NHL N L O L O L O L O L O L O L P NQ RS RL T U V V V V V V V

V ₄₈

\+9

]^_`]a9b0/c1+2+.10*++01-1113&2*2(defa g9h0/+01-110)(ij

]klm^9b0/c+*(defa

no_`np9qr*&*21+33&*0*++

s`91/'7+*&&13+*2tu_`tuv

d`91/'7+*&&13+*2wv_`wvu

xsy_`xs9q2*+++tu_`tuv`0r0/c+2+.+10*++01

-1113&2*2

xdy_`xd9q2*+++wv_`wvu0r0/c+2+.+10*++01

-1113&2*2

5674 " 8z310&2*+++-113+/&21+0 &'/12*,3/*+++1+&'/12*'04defde`{|i}8&9

~ ~ ~

H

T

N

U

4"8

\+9

ge9h0/+013+/&21+0&'/12*,3/*+++1+

&'/12*'0(ij_fde`{|i}

e\1*+++01-11(defij

(7)

&'() ) *+ ,,(+ ) ,-.+'(/ 0 ') ,+(),(/+.+'1.('234*.-(567+'(* +(8.('9:+(/;

<=>? <=>? @

@ @

A

G

F

E

D

C

B

H

I

JK

L

M

MMN

L

M

MOPQ

L

M

OOP

L

M

MMJ

L

M

MONJ

L

M

R

P

R

S

3 6

T); UV_WXYZ_WX[Z_WX[

\]ZWX^Z;4'()),-7._7`()/87

`.))0('/8*:'/*

IaXT+()))*(7bcdef

g)+()))*8++)'(+8h*9:+(/34*.-(5 6;

i

D E D E C C D D FD FD GD

GD

A

_@

@

_P

I

_P _P

I

_P _P

I

_P _P

I

_P _P

I

_P

I

S

R

₃₆

T);

VU]\WXVY]\WXV]\WXV^\WXV[\];&+(/:,(*)*)(/9()),-7

)(/9())._79287('/808.7Va

jU]\WXjY]\WXj]\WXj^\WXj[\];T+()))*)(/9()),-7)(/9())

._79287('/808.7bcXdXef

0k36l1m27k37n7o4l3nn7k37p462nq3432l167k37l647

r*:*'(')*-*,'5(,:*'(*s/* ,.,(/;

t u

Av Av

t

A v

u t

wx w v

u

v

v v

v|_|} {? G {x G v z y F

G

v ~ S ~M ~ R R ~~ R ~~ ₃₆

T);

Ue;4:,()),*2_(,+:,2_(,)(:)))*'(*

XU];4).,'(())'5(,)*/9()),-7de

(8)

& ' ( ' ' ) *+ *,+ *+ *+ *+ -.+ *+ *+ *+ /0+ *+ *+ *+ + /0 *+ *+ *+ + /0 *+

*+- 1 - 1 - 1 - 1 - 1

25

3

4

3

4

3

4

3

4

3

) ) ) ) ) ) ) ) ) ) ( ' ) ) ) ' ) ) ) 6 *,+ 6 6 6 -.+ 6 6 6 /0+ 6 6 6 + /0 6 6 6 + /0 6

6 - 1 - 1 - 1 - 1 - 1

75

3

4

3

4

3

4

3

4

3

89:;<=>?@A9;B=CD=EFFB=99F=EEE =F=>E9B;BDE9B=9G9;BEFH=F9DG9 F9CDBF9I9DJEB=9A9F9CD<9F9 B=9G9F9BKE;9<K<<G9;E9B=9 LMD<<9F;F=EEF9NI=FE=;EE;CD<E< F;F=EE<E=IB<EM=ECD9<B=9<EBEG<9=E B=F9=EE<E=IB<OEB=9<E=<B=B<FI=F=B< =9DFE<9<FDF=<EM9FKPB=F<F<= BFDB9<I<EB<IF=EF9;<B<9 H89F9E9K<9B=9<B<=B;E=F=>G; FFF=>?Q9DM=P@G<D9BR9=E;9 FI=F=BEB<IF=EF99<=KD=B:;<=>S

T

U

T

W V

U

V W X0Y , W V

W

*

_Z

Z

[

\

]

4

5

( ( ?@

LE9<KDEBP=E9;BEFHBF<=EF=> 9B<IF=EF9;E=F=>AG9FI=F=B\^9

B<IF=EF9;FFF=>8<BF<S _`aSQI=F=BEE=F=>E9FD;KAbcdeafg

\a^aaSQI=F=BEB<IF=EF9;FFF=>Abcdeaf

hijklamhdah^noacaphdqah^nmrnahdosStEEDF=EEE=F=>=BK9

?Q9DM=P@

[adS8=<==EEE9<>9=E

h^nS8=<==EEE9K<R<9<B

(9)

&'()(*)+&+(,+-.)((''&/&)'0&1* '&/*+'*200*34(5(64(5( 7

8 9:

;<

=>?

=

@

A

=BD =BC

E

F

3!7

G0H

IJK3L10M7N1HO('(0&**)'

PQRHO0&+'((00'S(+0)1*TUVWQX

YZ[K\]HG(^'M&()'TW

_H`0)*++(,'**)0)aTWb

cQHde''')('(0)aTW fghO('(0d0')

iZHO('(0j2)0*

kQQ_hOl(₊₍_'05_&*'

d''H

m

P

n

;<

9:

8 o<p

=>?q

=

@

r =BD =BC

r

F

3\7

s0*)*.^'*)t.*(,3\70/*'0*) '.'&0)1*u)-0j2)0*.&0*t.*0 .H

r <p r

o

v

w

x

y

z

{

|

}

~

₃₇

G0

RQH1*'01*TRV

HO'(00a&00)1*TRQJWZYYQVQRQRQZ QRQH(*+*(000(^(+TRVW

xH00))00)a+*,)(0

YZ[QH0(^'M&()'Tu*'0(^'*)0(^'('(

(10)

&'()*(*+,'',,'-./

0

1

2 .

345

6,7

897:';,'-(;<,<'/='*,>?@

8A7:';++','->?@

B/*,,(;(*'*,'->'CD;'+*/E'/ /+;(+;/+F'*(/*+/>/;';++',*/<*G'<;,/ H</,<7

IJKL IMI

0

N

L

1

2 _Q

P

O

₃₅

6,7

R7S,**+*,'->? T7U'+;,'->?

8VWV7:';,'C>?@X

8VYZR7:';,'//+;(+;/+F'*(/*+/>?@X

&'';,'C<;,,+*//[\7

P I]K IMI

N

L

1

2 Q

3"5

6,7

RV^Z7S,*H+*,'C>?

6+,'';,'//+;(+;/*+//F(/*,,/ /''';,'/<*//8_`YaYE','/G/8bRcdaYe9

fLghiJ jkJiJ

IJKL

1

2 l

3 5

m/'\/,'/<*///('(;'<'/H</*//*[;*+/> D;+*(;+'[+n,'/*//7

o

P P P

p

iLkq rIs iLkq tIJr

jkJiJ rIs

rIs

jkJiJ

u

N

L

u

L

(11)

&

( ( (

'

)*+, -.* )*+, -.*

./0 -+1)1 -.*

-.*

-+1)1

2

3 *

*

2 *

4

6

7

5

89

:;<

=>?@A@BCD<EFG;FHIJHH;;HKLKMFNOPQ

=>?@A@>CREFG;FHIJHH;;HKLIJSTJKNOPQ

U>?@A@<VFMG;FHIJHHNOQ

WBCD<X;IJHHK;HKLKMFQ

W>CRYX;IJHHK;HKLIJSTJKQ

RZC@B<[;J;FJSJKJ;;HKLKMFNOQ

R>CR<[;J;FIJH;;HKLIJSTJKNOQ

RAR?\<[;J;FHJSJKJH;FIJHNOQ

WAR?\BCD<X;JSJKJHFHIJHH;;HKLKMFQ

WAR?\>CR<X;JSJKJHFHIJHH;;HKLIJSTJK

]JFMNFFG;FHIJHH^G;_IH;I<

-.* -+1)1 `.a

-+1)1 -+1)1

4

6 b

89

HN

&

' &

'

c

( ( ( ( ( (

d

)*+, -.* )*+, ./0 -.* -.* )*+,

`.a )*+, e.1` `.a

-+1)1

3

2 *

*

2 *

*

2 *

4

6

7

5

5 b

5

8!9

fFKgFKGF;FFG;FHhHMhJT;hMH KGMHGLMiQIMJ;FFG;GhHFFLF HJLGJM_IHJj<

k*lm)1 k*lm)1 k*lm)1

2

4

6

8n9

:;<

WoRpqA@<XMMF;hH

=oRpqA<EFG;Gh

(12)

&'()*+,-+.,./,0'1,.

2.10.345.16')7','+8&'()94.). ,/..7,7),30+7.'+7':.)..170'. +'.'.31,.61.'..'()'0.;

< = <

>

?

@

_A

C

B

8D9

E = E

>

?

@

_A_A_A

C

B

8F9

G = G

>

?

@

_A_@

C

B

89

&'()&(H0'7+,.10.345

(13)

%&''()*+(*,-(./!0&12/3/1/3 4'(&15&3(+6

7

99 9 9

8

9

:

;

₌

_<

>

??

B

C

@

A

@

,"0

-(./!-.D'(*41&'

%&'E3/&(3,-(./F01*/14G3'311/4 1332/(3,-(./F0H413&*('&(41*I2/&* 3G4,-(./FG0

7

-(./F-.D'(*41&'E60J32/(G0J3&*('&(41 K1&(32/)3&'41G3*'./1L1 *M1*/143/1/&/41(3'D341&(3*/44 2/(1'L&1*/13*3(4'(1142/(1' 41*/44*3(4(*1-(./N

(14)

7

&'()*+,-./'012-21-12,'-3)'2.

/2/)2./-22)12,.4,2-'()'. 5,-'06

7

:

8

9 9

:

9 9

; 9 ; 9

9

_:

;

?

>

<

>

=

<

?

<

@

_B

_C

B

A

C

B

D

E F

G,.4-/,1.-1-/H,5'11,' -/)11I2-3)1J-.K-222)12-,/'.,'12 /LEJ-M-2-//'0NON2&'()FP22)12 ,.Q)/1-/2/)2,6

R R

; R ; R R

;

?

<

@

@S

_B

_C

C

B

D

C

E!F

TUVW TUVW

TUVW TUVW @S

?

<

@

R R

; R ; R R

;

B

C

B

D

C

E!F

X23)22)..212,.4-K6

7 >

:

>

=

8 <

R

@

_@S

D

_@S

C

A

_@S

C

B

A

E!F

X23)22)1)J3)1K1.'1,6

@S @ S@ SSS SS S

?T>YZ

@

D

A

E!!F

P22)/),1,2-02'1,)11.'-,2 5,-'06

TU[ U

_W

\

@

]

(15)

&'(

)*(+,-.'/''0,123456

7(&80''',0,12349:₆

;<*5(=0>'80'?0',0,,@15

A,?0/0'B'/,8'/0/C8'(

D ED D

F

G

H

I

JK

L!MN

&'(

H3(OP0?0/'08?80'''0Q0?12349R5

ST3(O>?0''?,UP0?',V81W4X23RYZ[

\08?80'''0Q0?1,?>?0''?,UP0?],?'-?/00''', V8@^''_8'/0'8,>?8'0'/0P0??0` >,,0'?0`',',A,?P0?0/'.-8/a18V^ b08@c0?@*;Rde[L N8'/0>(

fg h i

jkl

f

mn

h

f

o

p

q

r

s

t

u

I

v

L!wN

\8->P0?0'/8P?0'?,',V8,/0,L+0V-wN1 8V^O@VO'xy-@0L N8(

z

{

|

}

D~

I

L!N

&'(

T(^'_8-8,

(^',-?08',.?/,15

(=0>'/_.',@15

(16)

&'()*+,-)./,/0'1.203.'2

+202,/,'/430.)00'14000'15.'0'14.,.2 3.0)6'/2,12'.53.'0'1.,.23..,0)6'/2 ,12'.782)6'9:+20;'0'/'/(2./,','1 .02.23.2,12'.-)'02)5//23/0)6'/40 2.,0)6'/43).,./'.32,'()'/<3,'1

=>? =>? =>@ =>@

=>

B

A

B

A

B

D

C

7!":

+23'0,420;'0'/./,;0'.02.23. 0)6'/2,12'.3)..;'',4,(E82)6'97:3 20)0'1F

G =

G H =

= G

= G >@

I I J I J K J JL M N K O @ P Q

R R

R R S

T B

U

V

W X

Y Z

7! :

[.F

\F8;'0'/.)';'...2/3/).2/'2

T]F8.)0/''../9'0.2/'24^_]`]\ a]Fb20'.../0'1.2c4def

SFg,7(2:.2/'24hi]_]`j

=

U

F+',''...23.

(17)

&'()*+,-! ./')+01+2')02340 3*+23+,'0*+*+,2'3')32533+,6333+,7' *852/')3+,23'0*9+2)2+3+,&*03*' *5)9+3+20*93+23'*:;

< < =<

?

>

@

B

A

-C.

D2;

EF;D+G02')235H+0)'0+'/I

JF;K'052')235H+0)'0+'/I

L0*93+23'2')22*35H+0'*,'+2)52* 330+2-M4* .)'353+,;

N O

NP Q O

Q = N R S T ? U =

V W S XY S W S ZXY YT

[ \

] ]

^

_

b

a

_`

_

b

a

c

d -C.

D2;

^

=U?;e9+3+020*93+23'2')22*35H+0'

*,'+2/f_g

_

b

a

Qh;&+*++222'8*G*'*0'0)052')2

_

b

a

Q;&+*++222'8*G*'*0'0)052'*,'+2

L*5)9+3+20*93+23')*03**:;

? ? ?

= ?>

@ BA -C.

D2;

EE;D+G02')22*35H+0)'0+'/I

JE;K'052')22*35H+0)'0+'/I

&')'0+02'H'301+3)'*8**i'*+85+0 353+,-jk: " .;

l

Q r

m

Q=Q=

l m

Q = QqQq

l m

Q q p<nNo r

Q r Q q Q Q Q Q Q

Q

Q _?vsu[ sU[ > @ @ @ ts

? [

w ]B y ]` y ]x `^ ]`]`^ ]`]`^ ]`]`

y z -C!.

(18)

&'()*+,--+./0,+-.121134567'89:8

;(<.=-211.>23?@

A'(B1,---.121137'C5C?@

DE(F.=G-+..*1H+I=1H,J-.121137'C5CK8 LM_NH+,_+._/_0,_+,_0,_-._+I=1H,_I.₃_4C5C7'

OPF.=G-+I=1H,I.37'C5CK

Q.,2=.--RS!T.,I,U=,-++H,..+, ---,+,J-.H*H=-.1211V.-+>,.=+.+. U=H+.21W.-.+I=1H,J3W.*1H+I=1H,J3. +.U=1.+.213.+.H1,H,-*.21.*-3. H,.W.,-0,,H-.GQ.+.1H10,-. *-*+++,JW-,+,JRX,1>Y,+>Z[CE\ T]=23. +0,+,H-H10+,-+.*=-+.+=.1-.0 1,2=,H(

^ _ `

^ _

` ab c d e f

g h

g h h h ijk l _ b h g

h

m

n

m

n

o

p p

q

r

_RSST

B-(

n

q

hs(Q,1,,---.21t1.1H.H*H=-.

*-+=I,H*.H,.

Q.+0,+,H-H10+,-+.-.1211., -0,,HU=H,1.G*=-+.+=.1*.1,2=,H u*1,JR).=I,vT(

jwx jyj

jwx jwx

jwx z h

{

i

{

i

|

}

~

|

~

~ ~

o

RST

B-(

jyj

(19)

&'(

)

+,-

*

./011213421056789212:

&'(

;

; *

+,- .<=19120585>9?51213421056

789212:@ABCD_AE

F7?8=1910129G125H73510=1127.

&I& &'(

JK

)

L

M

P

O

N

QRST

U0.

VWXWY5H12?0056:C

F79=1912705785>9?5712134210567959?5 2109?25=5?6Z?79512Q5121052?GT35 Z?7=>Q5421052?GTH[\1H]17Q ^T:5 9=1912085>9?51217959?5854871_QRT: 127Z?5085>9?54217021854871_QR"T

` a b c a b +

,-+

,-de fg bOh a b P

;i&))j

k ;

l QRT

m a b

fg

bO`

a

b

P

;i&))j

&'( &'(

k

;

l

QR"T

n5=5?609558729G?721_057H778?07 48700571H?12=Q/>\0T.

(

o

p

q

K

P

rjps t_rjps

u

rjps QR T

U0.

CvwCx.\7059G?721G5:yz

{|vwCx.<8910095>=19059G?721G5:}BA~yzAE

vwCx.82?05909G?721_:E

.18:7

U5G5921985807?52Q\/> " T.

t

Jt Jt

J t

tK tK

t K

t t t

t _k( M M

k

(20)

&'(

)* +

,

(-./0/1/123'14/4/5'03164'37' '3879/'''32/19':;<=>?@A

B?CD??E719'3'/F/1:@

GH(-3470I./0'37':J<=KLM@N

CH?(O4'37':KLM

P4'37'79'03093473Q74/5(

+ + + R

) T S UVN

&'(

WH(X39'37':>Y

SH(&4/'''37':KL?<?>Y

Z417'41[079417'4074:3'3.01/\3'3 004]'1/33'WH404/003[ '3400/51443'0'07:309379'324164 '34Q74/4(

^

`ab

_

`ab

^

`ab

_

`ab c

c c

d Tf ge hf Tfe ijkge

l ijk l

ijk l _m

m UVN

^

n*`n `ab

_

n*`n n*`n c

d Tfe ge UV!N P92:3394[(

o d

R+T + UVpN

&'(

qrP2/19''37':>

Z30./0/1

_,

₊_)*104/'0/5314.0/'033

(21)

& ' ' & ( ) )*+) , , +,-+ , .* / 0 1 2 3 3 3 1 2 3 3 3 4 5 5 ₆₇ 67

8 9::;

<=>

?@AB?@C><DEFDFDGHFD=IJJKKLJFDFM

'NCOB?'PQNP>R=SJFDD==FTDJ=IUJFDGIJJK

KLJFDFMV9W;

&P?X>RUDJDF=FKUJD=JI=IJJKI=DM

V9_W;

Y&?P?XMKSIFEID=IHLKDZ>

&

)(

4

)

1

+ 9:[;

<=>

&P\RUDJDF=FKDKDZ=JILJJJDZ=IJJKI

=DM]^_X`??_abc

&N>RUDJDF=FKDKDZ=JIL=DJDZ=IJJKI

=DM]^_X`??_abc

de9fDgDhfDgD ;

ij k l ij k l m m n o p p q r m m n o p p q rs 3 t 0uv0w 4 3 0uv0w 4 , ( x , )

) y y y

& 9:;

y y y y &

z

( x ( x x + t {u|} 4 ~ ~ 8ll 8ll mn

o p q r m n o p q r 9:"; <=>

\DKDD===IJJK

\LFS=IJJKMa

KSLUDJD=FKUJD=IL=I=DS=HLK= L>

3

(22)

&'()*+,-.(7

/01203045657890:3:;8<030:=9;930 =3>93<0=<?<9:3<=3@39=<290==;993A 2<?:93A=>BC;<5<09;<0:39;:<93D:39 =<09930==;993AC;:3<;E<EE=

F<290GHI5<01203054!869><030: =9;930=3>93<0=<?<9ED:39=3@392< :3<5<E08<2=5029:3:J<0C;0903= <3:9?3=9<<K9;29092<L58 ;3=0<0=<?<9:3<M9;930456578N590:3:;8 < =< :@:39 =3@39 =< 2905 < 9;< 0 92<:=9<0=@09;930=<9=093:0 :3:

O.PO*)(Q.P'(7

F<=<:@:39=<290==;993A2<?:93A= >BC;<MGHIN<K=0<0R<:32<02:3=<3< <:B:39=<E3A=SC;=9>=279;930 =3>93<0=23=C;=093?<92:3: =3@39=<?L:5<=02309;930<E?390C; 0:?<9<1>B039:<0=3>:02@:089;930 =3>93<07

T<=>33<09;930=?<9:3<=?903=0< K=0<0R<:32<0:=0;3:E3==>B039C;B39=0= <2;:=30:=<02900=:0>93=08: 9;:<=3@39=<09930C;B390C;9;<0 =30:3:00

(23)

&'('&')*+,-7

.//01234"" 56789:/;<:=>=?@A:9:>;:<8:9 =: /@B?; 9B?@ CB6 DEFGHIJKFLGM LNEKM OJPHFQRSFHIJEMTJEUFE4V5WXV"

.//01234" 56YBZ@:9?@:=?@/;<:=>=?@ A:9:>;:<6DEFGHIJKFLGMLNEKMOJPHFQRSFHIJEMTJEUFEM4"5W![ \0.]^\./_`.3./ab2Y0.`c3d. WTeSINSfMgEMSfHM

hKFiIFhRSEHMhKfIEHfHMEiMSfHMJfKifHMUEGRSjKkFIfH19lmn:ocn3p 08"q

\0.]^\./_`.3./ab2Y0.`c3d. WrfKifHMUEGRSjKkFIfH 19lmn:ocn3p08q

\`p2stu^.c.//`3.`Ws9n?:v<w<:?9nq?=9 ?n?:?:v9n?8<8w=:?9xyBn=<:<B<Bq:s: s<nz>:?s{Z=:=9?<n|"[q

d`0.13Z W.qqn:?<:=}?qB<<:n}nB:99~:?=: q<::<:9=:>}<nnB>:?nq?==igNHGKFRSMRigM EikFiEEKFikMIJEUFHGKPMKEHERKIJ"45W

s.//1/`^/.s/1Y3 " W.n>:<=~=:=<=9?<n9n q?=99B??:v9n:nn<x<:?@=9=n= zn<:qn==<:<B<9<=8B>{Z=:=9?<n|Xq sd1casd1c.3 WNigRUEiGfHMgEMSRMGEKUfGKRiHLEKEiIFR

19s:s=?z[q

s`]^l./13c [WEKUfgFieUFIR19B8n~19B??:vp 08"q

/.s/1Ys1_`Y.3sWs9n?:v9nq?=9q=<?8B=<:v B@99B??:v9xyBn3\B8EGRSNKkFRMT!"45 W[[

(24)

%&'(&)*+,-./0&1*%'/,23** 42,56),2'*7()82.98,2':*7(;6(&62'*/68'-32;&9':*<6='28'/6(8,*>6* ?68'-.2;&':*7()8&8.8,*@.=62&,2*?&(62,*?68'-32;&9,A*?,'A*+.0'* *

-9,-./0&6B&)//:6>.:9.*

C(;6-*+,-./0&1*D'E'22,** 42,56),2*F&8.-'2:*<,98,2*6(*+&6(9&')*F19(&9'):*<6='28'/6(8,*>6*

G-1982&9':*7()8&8.8,*@.=62&,2*?&(62,*?68'-32;&9,A*?,'A*+.0'* *

'9,-./0&6B&)//:6>.:9.*

H&26/*I'206J*K2L/68'** 42,56),2'*7()82.98,2':*7(;6(&62'*/68'-32;&9':*<6='28'/6(8,*>6* ?68'-.2;&':*7()8&8.8,*@.=62&,2*?&(62,*?68'-32;&9,A*?,'A*+.0'* *

';'206J5B&)//:6>.:9.*

H/'.2J*4'-'9&,)*M,>2N;.6O** 42,56),2*H.P&-&'2:*<,98,2*6(*+&6(9&')*F19(&9'):*<6='28'/6(8,*

>6*?68'-.2;&':*7()8&8.8,*@.=62&,2*?&(62,*?68'-32;&9,A*?,'A* +.0'*

'='-'9&,)B&)//:6>.:9.*

* *