Problemas ampliacion solubilidad problemas y cuestiones

12343543627578579ABC3457
D7
2345678911
2345678911
1
D1F45211DCF1 D5"111
∆611G11C1<1H'1
161#$11%11.1#$1 1 1116.1#$1
34C11412C2CF42!C131.14DECF413ECD11,E4C21C445"1
4$1914I43161#$1
5$1914DECF411DEC1312,CF*1
2$1914141FE,4FD4*1
1
Solución
1
231D67E2F66CF27C23618EA1A915#31AD!1AB1AD2681F9C68117CABDE21A1B81
A1 EADCEA1 D8D297ABDA1 6A91 CDA721 1 2BDC6261 B81 2)AD21 21 921 878CCFB1 AB1 A91
AC9CEC841
1
31 C4ECF641 4C1 27ABD21 A91 897AB1 6A91 CDA721 6C7CBA1 921 EACFB41 791
CDA721A 89C8B212E21292B82E1B1BA 81AD26816A1AC9CEC818BDE2EEAD2B681
6C21 6C7CBCFB1 A1 6ACE1 6A928!B68A1 2C21 921 6AEA21 #27ABD21 921
2BDC6261 6A1 591 1 6C7CBA1 921 2BDC6261 5#31 1 6A1 9#331 8EA1 21 27ABD2B1
981789A1#789"92316A1921AACA12A82411
1
31E6F241391A9A 2E1921DA7AE2DE21A91AC9CEC81A16A92821AB1A91ABDC681AB1
A1 921 EA2CFB1 A1 AB68D"E7C21 #2C21 921 C8CAE6231 8B1 981 A1 27ABD21 921
8BABDE2CFB16A1941
1
1
2345678911
2345678911
1
144112E,DF1,21D516DA1A4#5.&$11F#.$&"111
4$1B2541412D42!C131 D5131D53431C14D4*1
5$1+41/,!C131,3D2F131D5343*1
2$1B1413141D53431C1(DC2!C131,3D2F131D5343*1
1
Solución
1
48B1 87AD81 71 881 899A1 AB1 221 8E1 981 A1 F981 A1 6CA9 A1 B21
AA@21)E2CFB16A12621B816C8C!B68A1D8D297ABDA1AB11C8BA12D21A1
9216C89CFB1A12DE2414A1AD29AA1ABD8BA1B1AC9CEC81ABDEA1981C8BA1AB1921
6C89CFB11A91F9C681CB16C89 AE1AB1A91)8B6816A91EACCABDA41
1
2311
5AE1#31111111115AE#6C311111112115B1#6C311111B111AE2#6C31
1
A2#9C31#31111A2#9C31#6C311211A2B1#6C31111B1119C2#6C31
1
=A#93C1#31111=A#93C1#6C311211=ACB1#6C31111B11C192#6C31
1
DE7
FA38337ABC347
311
*11&1D5BE1F1DAE2E1&1F1
1
*11&1DA2BE1F1D9C2E1&1#31
1
*11&1D=ACBE1F1D92EC1&1#C3C1
1
311
441
1
44 !1
1
44" 1
1
1
2345678911
2345678911
1
6!E1 1 E3(24-1 41 D53431 31 245C4F1 31 2421 #!31 54C21
CD51646.&$1141DC413D2!C14FD434131F414111432C4"1
4$1645C4F13131#46.&$*1
5$1646.&*1
2$16D131242*1
1
Solución
1
7912E8B2D816A129C81A1B1F9C681CFBC8171881899A1AB1221A1
AD2E!1AB1AC9CEC818B1981C8BA1E8A6ABDA16A1B21AA@21)E2CFB16A1921291
A1A1216CA9D8+1
1
5259C1#311115259C1#6C31121152B1#6C31111B1159C21#6C31
1
1
1
1
41
1111111111111111111111111111111
1
23 C4ECF6F8A# 791 2E8B2D81 6A1 86C81 A1 899A1 AB1 221 1 291 2@26CE981 21 921
6C89CFB1ADA1A16CA9 A11A16C8C21879AD27ABDA1AB11C8BA1A5B+1
1
259C1#31121112B1#6C31111B1159C21#6C31
111181 A1 2A1 A1 921 8BABDE2CFB1 6A1 C8BA1 2E8B2D81 AB1 921 6C89CFB1
27ABDA1E8 82B681A1A91AC9CEC816A189C9C62616A912E8B26816A129C81
A16A92A12C21921C8CAE6216A12AE6818B1A91%ECBCC816A1A152DA9CAE11
AB18BAABC216C7CBAB68192189C9C62641
1
3 D67E2F66 CF2367236# %AD81 A1 A91 2E8B2D81 6A1 29C81 A1 B1 F9C681
CB899A1A1A126CC8B2121B216C89CFB12DE26216A11C8BA1B812)AD2121
92189C9C62616A912E8B2D816A129C841
1
31 C4ECF6F8A41 791 A)AD81 6A91 98EE81 6A1 29C81 A1 2B!9881 291 A1 EA29C821 A9111
2E8B2D816A186C81CAB681AB1ADA1281A91C8B129C81A91A1E8 821A91A)AD81
6A1C8B1875B116A92821A91AC9CEC812C21921C8CAE6241
1
1
12343543627578579ABC3457
D7
234567891A1
234567891A1
1
7FEC111,3D21DC1,2,F431#4,42!C131DC41(41!341C11C1
31 DC41 3D2!C$1 2D4C31 1 E24C1 31 EC1 D41 31 3D2C1
2J2221 K1 31 DC1 24F!C1 #C1 24431 ,F4ECF$1 1 DC1 4C!C1 #C1 24431
C4F4ECF$13141DCF1,2"1
4$19%116C*1
5$115%115C*1
2$1A&%11DC*1
123456701#96$1G11J91L1<2C<2M101#155$1G1<71L1<2C91M101#AD&$1G1<J>1L1<2C:1
Solución
1
:AA1E82EA1C1A91E86D81CFBC812D2916A1981C8BA1A1728E17AB8E1
81C291291 298E16A11*41 :AA1DABAEA1AB1ABD21 A19218BABDE2CFB1 6A12621
C8B16C7CBA1219217CD2618E12216A19216C9CFB41
1
23 D76C$C2633A77A86$322#1
1
D3BE2D291F1D592E2D291&1(G((('1F1(G((('1&1'(2H1?1*#35931&1GH1F1'(2'(1
1
3 9A$76C$C263CA87A86$3AEA#1
1
D%BE2D291F1D2E2D291&1(G((('1F1(G((('1&1'(2'1I1*#%31&1'G,1F1'(2H1
1
3 D76C$C26343%7A86C4EA411
1
DACCBE2D291F1D42EC2D291&1(G((('1F1(G((('C1&1'(2(1?1*#AC4C31&1'G.,1F1'(2/1
234567891AA1
234567891AA1
1
5C3 D11C12F411(44141DCF1442C"11
1
4$1B14131412CF4CF131 ,3D2F131D53431424C41D1E-/E141
3,D?13141ECDF*1
5$1 EC41 3D2!C1 4FD4341 31 DC1 2E,DF1 CD51 9EAC1 FC1 DC41
2C2CF42!C131413DF41 D11E1%1C12141D5343*1
2$1 B1 41 31 41 2CF4CF1 31 ,3D2F1 31 D53431 3,C31 31 41
FE,4FD4*1
Solución
1
23 1234A#791 298E16A1*1F9816AAB6A16A1921DA7AE2DE241
7
FA38337ABC347
3 1234A#1 21 89C9C6261 A1 6A)CBA1 8781 921 8BABDE2CFB1 6A1 B21 6C89CFB1
2DE26241
3 &C67A#1*1A1B218BD2BDA16A1AC9CEC811F9816AAB6A16A1921DA7AE2DE2411
234567891AB1
234567891AB1
1
5C3 D11C12F411(44141DCF14(E42C"11
1
4$1D141DC413D2!C14FD434131DC4141CD51114I431DC1311C1
D141(E413ECD141D5343*1
5$1 71 ,21 !C241 31 2441 ,DF41 (E4C1 DC1 ,2,F431 #2E,DF1
CD5$1 2D4C31 1 ,3D2F1 31 D1 2C2CF42C1 42FD41 1 D41 41
,3D2F131D5343*1
2$114413,441DC1 D5131D53431)424141(E42!C131E-124CF3431
31!31CD511/F4131413D2!C1DC41,2!C131,2,F43*1
Solución
1
23 56782867A'8E1A91A)AD816A91C8B1875B41
3 1234A1 A1 2E21 A1 EACCDA1 A1 BAA2EC81 A1 AEA1 A91 E86D81 6A1
89C9C62641
3 1234A'8EA9212BDC62616A1F9C681AB1AC9CEC818B19216C89CFB1B812)AD21
219212BDC62616CA9D2411
234567891AC1
234567891AC1
1
5C3 D11C12F411(44141DCF14(E42C"11
1
4$1 B1 3,44ECF1 31 DC1 D51 31 D53431 31 DC1 2E,DF1 CD51
)4241 41 D542!C1 31 ,2,F431 ,D31 )421 F4C31 DC1 31 1
C1 D1(E4C14141CD5*1
5$1D141DC1 D5131D5343131DC1!31CD51114I431E-1!31
CD511 D51C113,441)4241CCC143*1
2$1+41E4343131DC413D2!C14FD434131DC4141CD511D1D5343*1
Solución
1
23 56782867A#1
3 56782867A#1
3 56782867A#1
1
12343543627578579ABC3457
1 01 =
7
7α 7 ⋅ 207 ⋅
=
⋅ < = 20:8 1
1
4
<− α < − 207 1
2992781*1DABCAB681AB1ABD21A1∆B1&1 − <1G1<"1
1
= 20:8 ⋅ ( 2029 ⋅ && ) = U =F<2 − 1
1
3117B1921A6EACFB16A1*1DCDC781A91BA 81 298E16A1921EACFB116AAL2781
MαN+1
7α 7α ⋅ 14 = 20:8 11111$11111
⋅ <2 = 20:8 11111 8 11111α = 20<7 1111 1
<− α
<− α 1
A91E26816A16C8C2CFB1A1(0',1#8EABD2LA16A16C8C2CFB1&1',T341
21 EACFB1 21 27ABD2681 1 2E21 8BDE2EEAD2E1 6C81 27ABD81 A91 AC9CEC81 A1
6A92821AB1A91ABDC681AB1A91A1A18DCABAB17AB81789"921A16ACE12C21921
C8CAE62$18E1D2BD81A16C8C21B212BDC62617AB8E41
0 2 = 0 , ⋅ (3 ⋅ 4 )
−∆C
−<
41B1
41B1
1
642D141D53431E4141>61613196.&1#!31CD5$145C31 D141
41 FE,4FD41 <221 E+1 31 DC41 3D2!C1 4FD4341 31 EE1 ,3D21 ,1
4,42!C1DC13D131>J781*1
1234587K4414F!E24"161G1<M1.1G1<8M191G1<29*1
1
Solución
7
791AC9CEC816A189C9C6261A1A91CCABDA+1
1111111111111111111111111111111111111111111111111111111111111
evaporación
*++&,!-8C4 → *&,!4 1
2172218DABC621.G,J11A1A91359C11F9C681A91291A1AB8BDE2216CA9D81AB1
'((1716A16C89CFB41
1
1%8E1D2BD8192189C9C6261A+1
1
1&1.G,J11P1'((171&1.G,J11P1(G'11&1.,GJ11P11&#.,GJ1P/J317891P1&1(G'QH1O1
AB1921A19217221789A92E16A91359C1A+1%O1&11F'(H1B'1B'JFC1&1/J11P17891
1
1
7
FA38337ABC347
1
41B1
41B1
1
D1 341 ,,441 <1 +1 31 3D2!C1 4FD4341 31 646.&1 #!31 2F4C1 54C21
CD5$141DC41FE,4FD413FEC434*1642D"1
4$ +41D5343131414*1
5$ +41 24CF3431 ECE41 C2441 31 245C4F1 31 2421 ,441 ,,441 41
3D2!C14FD434*1
123458701#646.&$1G17J91L1<2C=*1K4414F!E24"161G1<M1.1G1<8M1641G172*1
1
94ABCDEF7
1
23121A2CFB16A91AC9CEC816A189C9C6261AB1221A11
1
646.&1#31111116416.&1#6C3111211152B1#6C3111B16.&21#6C3111
11111111111111111111111111111111111111111111111111111111111111111111111111111
:A91 298E16A91E86D816A189C9C6261AB1)BCFB16A192189C9C6261DABA781
1
*1&1D52BE1F1D6.&2E1&11F11&11116A12C11&11*'P1&1#7J91L1<2C=3'P1&1JGQC1F'(2.1O41
7
31%2E21EA2E2E1B19CDE816A16C89CFB12DE26216A15259C1 A1BAACD2B1JGQC1F'(2.1
789A1 6A91 87AD81 A1 79DC9C2681 8E1 1 7221 789A92E1 DAB6EA781 A91
EA9D2681 AB1 E278+1 JGQC1 F1 '(2.1 F1 '((1 &1 JGQCF'(2C1 1 &1 JGQC1 71 6A1 5259C1 1 6A1
87AD8168B6A1'((1A19217221789A92E+1
OO1&1,(1B1'1B1C1F1'J1&1'((41
41C1
41C1
1
B12E4F131,E1#!314E4CF1CD51156.7$1FC1DC41D53431
C1 4D41 31 >J&1 L1 <2C:1 E1 T1 +1 41 >61 6*1 642D1 1 ,3D2F1 31 D53431 31
2E,DF14141FE,4FD4*1
7
1
94ABCDEF7
1
4A1 AECA1 921 A2CFB1 6A91 AC9CEC81 6A1 89C9C6261 6A91 E872D81 6A1 987841 81
8A)CCABDA1ADAC87"DEC816A19217C721CB6C2B1A1C1A16CA9 AB11789P16A1
921291A18DCABA1B216C89CFB12DE26216A18BABDE2CFB11789P16A12621B81
6A1981C8BA+1
%5E9,1#311111%5E9,1#6C3112111%B1#6C3111B115E9,21#6C31
444
12343543627578579ABC3457
7
1
:A1921A6EACFB16A91E86D816A189C9C6261DABA78+1
1
*1&1D%BE1F1D5E9,2E1&11F11&11&1#.GC1F1'(2/31&1GH'1F1'(2'C1
1
1
41CA1
41CA1
1
D1451 D141D53431C14D4141>6161311551#!314E41CD5$11
9&9.71#!3154C21CD5$1C1,2F4ECF1<J971L1<2C&1 1<J&=1L1<2C81K*1
642D"1
2$ B1,3D2F131D53431313D131,E14141FE,4FD4*1
3$ B1,3D2F131D53431314C4F131,4F414141FE,4FD4*1
1
94ABCDEF7
7
2 121A2CFB16A91AC9CEC816A189C9C6261AB1221A11
1
2
%1#3111111%1#6C31112111%B1#6C3111B1111 1#6C3111
44.4
1111:A91 298E1 6A91 E86D81 6A1 89C9C6261 AB1 )BCFB1 6A1 921 89C9C6261 A1 A6A1
2992E1*1
1
*1&1D%BE1F1D2E11&111F#F1311&1,1F1C1&1,1F1#'GH,1F1'(2C3C1&1G,Q1F1'(2H1
1
3121A2CFB16A91AC9CEC816A189C9C6261AB1221A1
1
3C39,1#31111113C39,1#6C31112111C113B1#6C3111B1139,C21#6C3111
4!.44
7911E86D816A189C9C6261AB1)BCFB16A192189C9C6261
1
*1&1D3BEC1F1D39,C2E11&1#C1F3C1F111&1/1F1,11&1/F1#'GCQ1F1'(2J3,1&1'G('F1'(21
41CB
41CB1
1
642D1 1 ,3D2F1 31 D53431 31 K6.&1 45C31 D1 C1 221 E+1 31 DC41
3D2!C14FD434141>61611)4C13DF1&J1E1314*1
1234587K4414F!E24"161G1<M1.1G1<8M1K1G17J&*1
1
7
FA38337ABC347
94ABCDEF7
1
4A1 AECA1 921 A2CFB1 6A91 AC9CEC81 6A1 89C9C6261 6A91 E872D81 6A1 987841 81
8A)CCABDA1ADAC87"DEC816A19217C721CB6C2B1A1C1A16CA9 AB11789P16A1
921291A18DCABA1B216C89CFB12DE26216A18BABDE2CFB11789P16A12621B81
6A1981C8BA+1
O59C1#311111O59C1#6C3112111OB1#6C3111B1159C21#6C31
444
:A1 921 A6EACFB1 6A91 E86D81 6A1 89C9C6261 1 6A91 298E1 6A1 921 89C9C6261 AB1
789P91DABA78+1
7
1&1CG171O59CP((171&1CG1F'(2C11O59C1P(G((11&(G('J1P$1
(G('JPH,GC1&1'GQF'(2,1O11111111#OO1O59C1&1H,GC31
1
*1&1DOBE1F1D59C2E1&11F11&11&1#'GQ(1F1'(2,31&1CGJ'1F1'(2H1
41CC1
41CC1
1
+41 D53431 31 )3!/31 31 E4C1 K#.$1 C1 4D41 1 31 =J81 E1 T1 +1 41
>66*1642D"1
4$11B1,3D2F131D5343131F1)3!/31CD514141FE,4FD4*1
5$11+41D5343141>6161C1DC413D2!C12J<1K131K#.&$*1
1234587K4414F!E24"11G1<M1.1G1<8M1K1G17J&*1
1
94ABCDEF7
7
791C6EF6C681EAABD21AB16C89CFB12821A91CCABDA1AC9CEC8+1
1
O#931#311111O#931#6C3121OB1#6C3111B111921#6C31
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111F1
1
231 1 *1 #O#9331 &1 DOBE1 F1 D92E1 &1 1 F#F1 31 &1 ,1 F1 C#1 791 298E1 6A1 1 AB1 BC626A1
7892EA1A18DCABA16A1921CCABDA1EA92C8BA+1
1
1 &1 QGJ1 71 6A1 O#931 P1 1 &1 1 #QGJ1 P1 '(((1 F1 HGJ31 7891 P1 &1 'G'J1 F1 '( 2,1 O1 1
DCDAB681AB1921A6EACFB12BDAEC8E199A2781211
1
1*1#O#9331&1,1F1C1&1,1F1#'G'J1F'(2,3C1&1JG,1F1'(2'1
1
3111791O#9C31AB16C89CFB12821AD21D8D297ABDA16C8C2681A5B1
1
12343543627578579ABC3457
7
O#9C31121OB1#6C31B1119C21#6C31
/01/01./01
%8E1 8BCCABDA1 AB1 EAABC21 6A91 C8B1 875B1 OB1 921 89C9C6261 6A91
87AD81 CB899A1 O#931 6C7CBA1 D291 8781 A1 6A6A1 6A91 AC9CEC81
6A189C9C626+1
1
O#931#311111O#931#6C3121OB1#6C3111B111921#6C31
44+/0≅/0.4
1
%8E1 D2BD81 6A1 921 A6EAC8B1 *1 #O#9331 &1 DOBE1 F1 D92E1 &1 (G'1 F1 #F311
DABA781A91 298E16A11
1
1&1#*1P1,1F1(G'3'P1&1#JG,1F1'(2'P,1F1(G'3'P1&1#'G.J1F1'(2''3'P1&CGQ.1F1'(2J1O41
1
1
41CD1
41CD1
1
642D1412C2CF42!C131C115%1C141DCF12C32C"1
1
4$ BC1DC413D2!C14FD4341312D131,E1C14D41
5$ BC1DC413D2!C14FD4341312D131,E1C1,C241312D141DC41
2C2CF42!C1312J21K*1
1234670#156$1G11<J81L1<2C>1
1
94ABCDEF7
7
23121A2CFB16A91AC9CEC816A189C9C6261AB1221A11
1
%591#3111111%5911#6C31112111%B1#6C3111B1115921#6C3111
44.4
1111:A91 298E16A91E86D816A189C9C6261AB1)BCFB16A192189C9C6261DABA781
1
*1&1D%BE1F1D592E11&111F#F1311&1,1F1C1$11111
11&1#*P,3'PC1&1#'GJF'(2.P,3'PC1&1(G('J1O41
11
3121A2CFB16A91AC9CEC816A189C9C6261AB1EAABC216A198EE81A1
1
%591#3111111%5911#6C31112111%B1#6C3111B1115921#6C3111
4040.40+/0/1
440.40+/0/ $1AB1ADA128162681A1A911 298E16A11A1A7AL2BDA121(G(1
B81A1A6A16AEAC2E1G1)EABDA121(G(413916A2EE8992E1921A6EACFB1621B21
A2CFB16A1DAEAE1E2681921A1B21 A81EAA9D216218781 298E16A1G1&1(G('(1O41
E7
FA38337ABC347
1
1
41CE1
41CE1
1
+41D534313164F1131981E1T1+141>616*1642D"1
4$ +412C2CF42!C13164%11FC1C1DC413D2!C14FD43413132)414*1
5$ B1,3D2F131D534313141414141FE,4FD4*1
1234587K4414F!E24"1F1G1<=M1641G172*11
1
94ABCDEF7
7
21A2CFB16A91AC9CEC816A189C9C6261A1
1
2
52=1#31111111152=1#6C311211152B1#6C31111B1111111=1 1#6C31
1
111111111111111111111111111111111111111111111111111111111111111111111111111F11
1
%8E18DE819268192189C9C6261A6EA2621AB17891P11A1
1
1&1HJ17152=1P111&#1HJF'(2C1P1/H3117891P111&11'G'1F1'(2C1O1
168B6A1/H1A19217221789A92E16A9152=11
1
2
23 D52BE1&11&1'G'1F1'(2C1O1111D=1 E1&11F11&11F1'G'1F1'(2C11&11G1F1'(2C1O1
1
3 *1#52=31&1D52BE1F1D=2E1&11F1#F31&1,1F1C1&1,1F#'G'F'(2C3C1&1.GC1F1'(2Q1
1
1
41CF1
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