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b) Sample Problem 13-4
A solution was prepared by dissolving 17.1 g of sucrose
(table sugar), C12H22O11, in 125 g of water. What is the molality
of the solution?
Given:
17.1 g
C12H22O11
125 g water
m=?
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s )o (. l )v )e )n (.t Dp ( 4c )o ( Pn ( pv )e )r )t ( X1 ( x7 ( . )1 ( g (
Ti )n ( t )o ( m ( @o ( `l )e )s ( 1 ($2 (N( )1 (2 ((. )0 (1 (g ( ) , Symbol (
0+ ( 2 ( 2 (&( )1 (. )0 (1 (g () (+ (d1 (1 )( )1 (86 (X. )0 ( 0 ( Jg ( ) ( = (N"3 (N#4 (N$2 (N&. )3 (N'4 (N)g (w$m (w&Wo (w'wl "*: (G 21 (GR7 (Gr. )1 (Gg (p;1 @: (x (G Um (G
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t )o ( 0c )a ( Ll )c )u ( l )a ( t )e ( m ( xo ( l )a ( Tl )i )t )y ("x 0 ("x. )0 ("xd5 ("x0 ("x0 ("xm ("x~o ("x l (% 21 (%R2 (%r5 (%g (%\w (%a (%t )e )r #C @#C
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#C (*v Lx (*vm (*vo (*vl (*v= ()0 () (. )0 ()
5 () 0 ()
0 ()Zm ()o ()l (,*1 (,*2 (,* 5 (,* (g (,* w (,*Pa (,*pt )e )r )) (*vx ()1 ()0 ()0 ()40 ()vg () w ()a () t )e )r (,*1 )) L (/ Lx (/m (/o (/l (/= (/0 (/. )4 (/
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Lm (/o (/l (4_ 4w (4_h (4_i )c )h (4_i )s (4_e )q (4_
,u (4_ Li )v )a (4_l )e )n (4_t (4_t )o (20 (2. )4 (20 (20 (2Tm (2 o (2 l (6.1 (6N0 (6n0 (60 (6Bg (6w (6 ja (6 t )e )r 3<3 (4_ = (2"0 (2#. )4 (2%0 (2&0 (2'm 3"3) /MTsave save def 50 dict begin
/bdef {bind def} bind def
/xdef {exch def} bdef
/rndpos { transform round exch round exch itransform } bdef
/rndvec { dtransform round exch round exch idtransform } bdef
/rnddist { 0 rndvec pop } bdef
/rndmvto { rndpos moveto } bdef
/rndlnto { rndpos lineto } bdef
currentpoint 3 -1 roll sub neg 3 1 roll sub
10912 div 14784 3 -1 roll exch div scale
currentpoint translate 64 85 translate
0 setgray
/thick 0 def
/th { dup setlinewidth /thick xdef } bdef
28 th /sol { [] 0 setdash } bdef
/dsh { [ exch 3 div dup .6 mul ] 0 setdash } bdef
/dot { [ thick 3 -1 roll 5 div ] 0 setdash } bdef
sol 1028 649 rndmvto 3400 0 rlineto stroke
/fs 0 def
/sf {exch dup /fs xdef dup neg matrix scale makefont setfont} bdef
/f1 {findfont dup /cf xdef sf} bdef
/ns {cf sf} bdef
576 /Times-Italic f1
0 805 rndmvto
/gs {{glyphshow} forall} bdef
[/m] gs
1550 432 rndmvto
[/m] gs
1958 432 rndmvto
[/o] gs
2246 432 rndmvto
[/l] gs
2574 432 rndmvto
[/s] gs
2790 432 rndmvto
[/o] gs
3078 432 rndmvto
[/l] gs
3234 432 rndmvto
[/u] gs
3522 432 rndmvto
[/t] gs
3678 432 rndmvto
[/e] gs
2314 1241 rndmvto
[/g] gs
2750 1241 rndmvto
[/s] gs
2966 1241 rndmvto
[/o] gs
3254 1241 rndmvto
[/l] gs
3410 1241 rndmvto
[/v] gs
3662 1241 rndmvto
[/e] gs
3914 1241 rndmvto
[/n] gs
4202 1241 rndmvto
[/t] gs
-12 2969 rndmvto
[/c] gs
240 2969 rndmvto
[/o] gs
528 2969 rndmvto
[/n] gs
816 2969 rndmvto
[/v] gs
1068 2969 rndmvto
[/e] gs
1320 2969 rndmvto
[/r] gs
1536 2969 rndmvto
[/t] gs
2924 2969 rndmvto
[/g] gs
4032 2969 rndmvto
[/o] gs
4456 2969 rndmvto
[/m] gs
4864 2969 rndmvto
[/o] gs
5152 2969 rndmvto
[/l] gs
5308 2969 rndmvto
[/e] gs
576 /Symbol f1
556 805 rndmvto
[/equal] gs
576 /Times-Roman f1
1014 1241 rndmvto
[/one] gs
1302 1241 rndmvto
[/zero] gs
1590 1241 rndmvto
[/zero] gs
1878 1241 rndmvto
[/zero] gs
1816 2969 rndmvto
[/one] gs
2104 2969 rndmvto
[/seven] gs
2536 2969 rndmvto
[/one] gs
2392 2969 rndmvto
[/period] gs
3348 2969 rndmvto
[/i] gs
3504 2969 rndmvto
[/n] gs
3792 2969 rndmvto
[/t] gs
576 /Times-Italic f1
5560 2969 rndmvto
[/s] gs
5560 2969 rndmvto
[/s] gs
1962 4206 rndmvto
[/g] gs
4706 4206 rndmvto
[/g] gs
7690 4206 rndmvto
[/g] gs
10452 3833 rndmvto
[/g] gs
9343 4642 rndmvto
[/m] gs
9751 4642 rndmvto
[/o] gs
576 /Times-Roman f1
-60 4206 rndmvto
[/one] gs
228 4206 rndmvto
[/two] gs
680 4206 rndmvto
[/one] gs
968 4206 rndmvto
[/two] gs
1400 4206 rndmvto
[/zero] gs
1688 4206 rndmvto
[/one] gs
2972 4206 rndmvto
[/two] gs
3260 4206 rndmvto
[/two] gs
3712 4206 rndmvto
[/one] gs
4144 4206 rndmvto
[/zero] gs
4432 4206 rndmvto
[/one] gs
5668 4206 rndmvto
[/one] gs
5956 4206 rndmvto
[/one] gs
6360 4206 rndmvto
[/one] gs
6648 4206 rndmvto
[/six] gs
7080 4206 rndmvto
[/zero] gs
7368 4206 rndmvto
[/zero] gs
8822 3833 rndmvto
[/three] gs
9110 3833 rndmvto
[/four] gs
9398 3833 rndmvto
[/two] gs
9830 3833 rndmvto
[/three] gs
10118 3833 rndmvto
[/four] gs
526 4206 rndmvto
[/parenleft] gs
1256 4206 rndmvto
[/period] gs
2272 4206 rndmvto
[/parenright] gs
3558 4206 rndmvto
[/parenleft] gs
4000 4206 rndmvto
[/period] gs
5016 4206 rndmvto
[/parenright] gs
6206 4206 rndmvto
[/parenleft] gs
6936 4206 rndmvto
[/period] gs
8000 4206 rndmvto
[/parenright] gs
9686 3833 rndmvto
[/period] gs
576 /Symbol f1
2544 4206 rndmvto
[/plus] gs
5288 4206 rndmvto
[/plus] gs
8304 4206 rndmvto
[/equal] gs
8776 4050 rndmvto 1998 0 rlineto stroke
0 5579 rndmvto 1302 0 rlineto stroke
1758 5579 rndmvto 1998 0 rlineto stroke
576 /Times-Italic f1
10039 4642 rndmvto
[/l] gs
10039 4642 rndmvto
[/l] gs
980 5362 rndmvto
[/g] gs
1410 5735 rndmvto
[/x] gs
2325 5362 rndmvto
[/m] gs
2733 5362 rndmvto
[/o] gs
3021 5362 rndmvto
[/l] gs
3434 6171 rndmvto
[/g] gs
5982 5735 rndmvto
[/m] gs
6390 5735 rndmvto
[/o] gs
6678 5735 rndmvto
[/l] gs
-24 7875 rndmvto
[/u] gs
264 7875 rndmvto
[/s] gs
480 7875 rndmvto
[/e] gs
916 7875 rndmvto
[/p] gs
1204 7875 rndmvto
[/r] gs
1420 7875 rndmvto
[/o] gs
1708 7875 rndmvto
[/p] gs
1996 7875 rndmvto
[/o] gs
2284 7875 rndmvto
[/r] gs
2500 7875 rndmvto
[/t] gs
2656 7875 rndmvto
[/i] gs
2812 7875 rndmvto
[/o] gs
3100 7875 rndmvto
[/n] gs
3512 7875 rndmvto
[/t] gs
576 /Times-Roman f1
-14 5362 rndmvto
[/one] gs
274 5362 rndmvto
[/seven] gs
706 5362 rndmvto
[/one] gs
507 6171 rndmvto
[/one] gs
1804 6171 rndmvto
[/three] gs
2092 6171 rndmvto
[/four] gs
2380 6171 rndmvto
[/two] gs
2812 6171 rndmvto
[/three] gs
3100 6171 rndmvto
[/four] gs
4364 5735 rndmvto
[/zero] gs
4796 5735 rndmvto
[/zero] gs
5084 5735 rndmvto
[/five] gs
5372 5735 rndmvto
[/zero] gs
5660 5735 rndmvto
[/zero] gs
562 5362 rndmvto
[/period] gs
2668 6171 rndmvto
[/period] gs
4652 5735 rndmvto
[/period] gs
576 /Symbol f1
3904 5735 rndmvto
[/equal] gs
0 8956 rndmvto 2662 0 rlineto stroke
576 /Times-Italic f1
3668 7875 rndmvto
[/o] gs
3668 7875 rndmvto
[/o] gs
4080 7875 rndmvto
[/c] gs
4332 7875 rndmvto
[/a] gs
4620 7875 rndmvto
[/l] gs
4776 7875 rndmvto
[/c] gs
5028 7875 rndmvto
[/u] gs
5316 7875 rndmvto
[/l] gs
5472 7875 rndmvto
[/a] gs
5760 7875 rndmvto
[/t] gs
5916 7875 rndmvto
[/e] gs
6304 7875 rndmvto
[/m] gs
6712 7875 rndmvto
[/o] gs
7000 7875 rndmvto
[/l] gs
7156 7875 rndmvto
[/a] gs
7444 7875 rndmvto
[/l] gs
7600 7875 rndmvto
[/i] gs
7756 7875 rndmvto
[/t] gs
7912 7875 rndmvto
[/y] gs
1702 8739 rndmvto
[/m] gs
2110 8739 rndmvto
[/o] gs
2398 8739 rndmvto
[/l] gs
884 9548 rndmvto
[/g] gs
1308 9548 rndmvto
[/w] gs
1692 9548 rndmvto
[/a] gs
1980 9548 rndmvto
[/t] gs
2136 9548 rndmvto
[/e] gs
2388 9548 rndmvto
[/r] gs
4205 8739 rndmvto
[/x] gs
4617 8739 rndmvto
[/m] gs
5025 8739 rndmvto
[/o] gs
5313 8739 rndmvto
[/l] gs
576 /Times-Roman f1
84 8739 rndmvto
[/zero] gs
516 8739 rndmvto
[/zero] gs
804 8739 rndmvto
[/five] gs
1092 8739 rndmvto
[/zero] gs
1380 8739 rndmvto
[/zero] gs
-14 9548 rndmvto
[/one] gs
274 9548 rndmvto
[/two] gs
562 9548 rndmvto
[/five] gs
3268 9548 rndmvto
[/one] gs
372 8739 rndmvto
[/period] gs
576 /Symbol f1
2810 9112 rndmvto
[/equal] gs
3282 8956 rndmvto 3110 0 rlineto stroke
1908 10629 rndmvto 2662 0 rlineto stroke
576 /Times-Roman f1
3556 9548 rndmvto
[/zero] gs
3556 9548 rndmvto
[/zero] gs
3844 9548 rndmvto
[/zero] gs
4132 9548 rndmvto
[/zero] gs
1992 10412 rndmvto
[/zero] gs
2424 10412 rndmvto
[/zero] gs
2712 10412 rndmvto
[/five] gs
3000 10412 rndmvto
[/zero] gs
3288 10412 rndmvto
[/zero] gs
1894 11221 rndmvto
[/one] gs
2182 11221 rndmvto
[/two] gs
2470 11221 rndmvto
[/five] gs
5012 10412 rndmvto
[/one] gs
5300 10412 rndmvto
[/zero] gs
5588 10412 rndmvto
[/zero] gs
5876 10412 rndmvto
[/zero] gs
576 /Times-Italic f1
4454 9548 rndmvto
[/g] gs
4878 9548 rndmvto
[/w] gs
5262 9548 rndmvto
[/a] gs
5550 9548 rndmvto
[/t] gs
5706 9548 rndmvto
[/e] gs
5958 9548 rndmvto
[/r] gs
12 10785 rndmvto
[/x] gs
424 10785 rndmvto
[/m] gs
832 10785 rndmvto
[/o] gs
1120 10785 rndmvto
[/l] gs
3610 10412 rndmvto
[/m] gs
4018 10412 rndmvto
[/o] gs
4306 10412 rndmvto
[/l] gs
2792 11221 rndmvto
[/g] gs
3216 11221 rndmvto
[/w] gs
3600 11221 rndmvto
[/a] gs
3888 11221 rndmvto
[/t] gs
4044 11221 rndmvto
[/e] gs
4296 11221 rndmvto
[/r] gs
4678 10785 rndmvto
[/x] gs
6198 10412 rndmvto
[/g] gs
6622 10412 rndmvto
[/w] gs
7006 10412 rndmvto
[/a] gs
7294 10412 rndmvto
[/t] gs
7450 10412 rndmvto
[/e] gs
576 /Symbol f1
1436 10785 rndmvto
[/equal] gs
576 /Times-Roman f1
2280 10412 rndmvto
[/period] gs
5026 10629 rndmvto 2950 0 rlineto stroke
576 /Times-Italic f1
7702 10412 rndmvto
[/r] gs
7702 10412 rndmvto
[/r] gs
12 12085 rndmvto
[/x] gs
424 12085 rndmvto
[/m] gs
832 12085 rndmvto
[/o] gs
1120 12085 rndmvto
[/l] gs
3340 12085 rndmvto
[/m] gs
3748 12085 rndmvto
[/o] gs
4036 12085 rndmvto
[/l] gs
-12 13322 rndmvto
[/w] gs
372 13322 rndmvto
[/h] gs
660 13322 rndmvto
[/i] gs
816 13322 rndmvto
[/c] gs
1068 13322 rndmvto
[/h] gs
1480 13322 rndmvto
[/i] gs
1636 13322 rndmvto
[/s] gs
2000 13322 rndmvto
[/e] gs
2252 13322 rndmvto
[/q] gs
2540 13322 rndmvto
[/u] gs
2828 13322 rndmvto
[/i] gs
2984 13322 rndmvto
[/v] gs
3236 13322 rndmvto
[/a] gs
3524 13322 rndmvto
[/l] gs
3680 13322 rndmvto
[/e] gs
3932 13322 rndmvto
[/n] gs
4220 13322 rndmvto
[/t] gs
4536 13322 rndmvto
[/t] gs
4692 13322 rndmvto
[/o] gs
6932 12949 rndmvto
[/m] gs
7340 12949 rndmvto
[/o] gs
7628 12949 rndmvto
[/l] gs
576 /Times-Roman f1
6357 11221 rndmvto
"[/one] gs
1896 12085 rndmvto
[/zero] gs
2328 12085 rndmvto
[/four] gs
2616 12085 rndmvto
[/zero] gs
2904 12085 rndmvto
[/zero] gs
5488 12949 rndmvto
[/zero] gs
5920 12949 rndmvto
[/four] gs
6208 12949 rndmvto
[/zero] gs
6496 12949 rndmvto
[/zero] gs
576 /Symbol f1
1436 12085 rndmvto
[/equal] gs
576 /Times-Roman f1
2184 12085 rndmvto
[/period] gs
5776 12949 rndmvto
[/period] gs
5116 13166 rndmvto 3064 0 rlineto stroke
8800 13166 rndmvto 1818 0 rlineto stroke
5102 13758 rndmvto
[/one] gs
5102 13758 rndmvto
[/one] gs
5390 13758 rndmvto
[/zero] gs
5678 13758 rndmvto
[/zero] gs
5966 13758 rndmvto
[/zero] gs
8834 12949 rndmvto
[/zero] gs
9266 12949 rndmvto
[/four] gs
9554 12949 rndmvto
[/zero] gs
9842 12949 rndmvto
[/zero] gs
576 /Times-Italic f1
6402 13758 rndmvto
[/g] gs
6826 13758 rndmvto
[/w] gs
7210 13758 rndmvto
[/a] gs
7498 13758 rndmvto
[/t] gs
7654 13758 rndmvto
[/e] gs
7906 13758 rndmvto
[/r] gs
10164 12949 rndmvto
[/m] gs
576 /Symbol f1
8328 13322 rndmvto
[/equal] gs
576 /Times-Roman f1
9122 12949 rndmvto
[/period] gs
end MTsave restore
d(MATH @x DSMT5 MacRoman Times Symbol Courier MT Extra !F_D/APG_AP APA E%B_A C_A E*_HA @AHA*_D_E_E_A
m = = m o l s o l u t e 1 0 0 0 g s o l v e n t c o n v e r t 1 7 . 1 g i n t o m o l e s 1 2 ( 1 2 . 0 1 g ) + + 2 2 ( 1 . 0 1 g ) + + 1 1 ( 1 6 . 0 0 g ) = = 3 4 2 . 3 4 g m o l 1 7 . 1 g 1 x m o l 3 4 2 . 3 4 g = = 0 . 0 5 0 0 m o l u s e p r o p o r t i o n t o c a l c u l a t e m o l a l i t y 0 . 0 5 0 0 m o l 1 2 5 g w a t e r = = x m o l 1 0 0 0 g w a t e r x m o l = = 0 . 0 5 0 0 m o l 1 2 5 g w a t e r x 1 0 0 0 g w a t e r 1 x m o l = = 0 . 4 0 0 m o l w h i c h i s e q u i v a l e n t t o 0 . 4 0 0 m o l 1 0 0 0 g w a t e r = = 0 . 4 0 0 m DSUM HDNI STYL 4 J STYLb b!( b b b b!b!b!b! ,
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