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2552 CHEMISTRY FOR ENGINEERS | CHOLLADA KULWAT RMUTL RATE OF CHEMICAL REACTION

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Rate of chemical reaction is upon to many factors; concentration, temperature, pressure, catalyst etc.

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Page 1: Rate of Chemical Reaction

2552

CHEMISTRY FOR ENGINEERS | CHOLLADA KULWAT

RMUTL RATE OF CHEMICAL REACTION

Page 2: Rate of Chemical Reaction

RATE OF CHEMICAL REACTION 2552

���� 213

���� 6

�� ��ก���ก�����ก��������� (Rate of Chemical Reaction)

ก�� !ก"�#$%��&#'()*ก*�*+�,-./ (rate of chemical reaction) ,(123&2'4*5�62!7'&#'4*5�,-./ ,�/+ก48� 9:2 �;%�<,-./ (chemical kinetics 6�?# dynamics) B!7' !ก"�ก��4$C#$%��&#'()*ก*�*+� 3:D(E99$+ (factor) %8�'FG/7./#*GH*I: 6�?#./J:%8##$%��&#'()*ก*�*+�2$K2 LCM3ก8

• H��.5�%*&#';��%$K'%M2 (reactants) 3:D J:*%N$OP< (products)

• -4�.,&M.&M2&#';��%$K'%M23:DJ:*%N$OP<

• #SO6NT.*

• #*GH*I:&#';��9�กN�+2#ก ,582 %$4,�8'()*ก*�*+� (catalysts) 6�?#%$46284'()*ก*�*+� (inhibitors)

9�ก#$%��G/74$CLCM3:Dก�� !ก"�V!'(E99$+G/7./#*GH*I:%8#()*ก*�*+� GW�X6M,ก*C-4�.,&M�X948� ,6%SXC()*ก*�*+�62!7'9!',ก*C5M� ;842#/ก()*ก*�*+�62!7',ก*C,�Y4 3:D,&M�X9V!'��+:D,#/+C6�?#&$K2%#2 (step) &#'ก��,(:/7+23(:'G/7,ก*Cก$Z;��%$K'%M292V!'ก��,ก*CJ:*%N$OP< B!7',�/+ก48�ก:Lก&#'()*ก*�*+� (reaction mechanism) #$2,(12I?K2[�2G/72$ก,-./;2X9 3:DI+�+�. !ก"�

ก����ก������ก��ก�� ��ก�������� -?# ก�� !ก"�-4�.;$.I$2H<�D648�' (�*.�O;��G/7,(:/7+23(:' ก$Z ,4:�G/7X5MX2ก��,(:/7+23(:'2$K2

VM�N�+X2,4:�G/7กW�62C (�*.�O;��,(:/7+23(:'L(9�ก,C*..�ก 3;C'48� #$%��ก��,(:/7+23(:'./-8�.�ก

ก�� ������ �������� 3Z8'##ก,(12 3 (�D,NG LCM3ก8 1. ก��,(:/7+2;V�2D 2. ก��:D:�+,(12;��:D:�+ 3. ก��,ก*C()*ก*�*+�,-./

;W�6�$Z6284+,�/+22/K 9D,2M2,�?7#' ก��,ก*C()*ก*�*+�,-./

6.1 ��ก�������� -?# ก��,(:/7+23(:'G/7GW�X6M,ก*C;��X6.8 ,&/+2;.ก��3;C'LCM C$'2/K

;��%$K'%M2 → ;��X6.8 6�?# ;��J:*%N$OP< (reactant) (product)

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RATE OF CHEMICAL REACTION 2552

���� 214

()*ก*�*+�,-./ 3Z8'%�.:$ก"OD,2?K#;��X2�DZZLCM,(12 2 3ZZ -?#

6.1.1 ��ก������������� (homogeneous reaction) ,(12()*ก*�*+�G/7;��GSก%$4X2�DZZ �4.,(12,2?K#,C/+4ก$2 ,582

N2 (g) + 3H2 (g) → 2NH3 (g)

Cl2 (g) + 2NaOH (aq) → NaCl (aq) + NaClO (aq) + H2O (l)

6.1.2 ��ก������������ (heterogeneous reaction) ,(12()*ก*�*+�G/7;��GSก%$4X2�DZZL.8 �4.,(12,2?K#,C/+4ก$2 ,582

Mg (s) + 2HCl (aq) → MgCl2 (aq) + H2 (g)

Zn (s) + CuSO4 (aq) → ZnSO4 (aq) + Cu (s ) X2&ODG/7()*ก*�*+�กW�:$'CW�,2*2L( L.848�9D,(12()*ก*�*+�,2?K#,C/+46�?#()*ก*�*+�,2?K#J;.

(�*.�O;��%$K'%M29D-8#+F:C:' 3%8(�*.�OJ:*%N$OP<9D-8#+F,I*7.&!K2 3:D(�*.�O;��%$K'%M2G/7:C:' ก$Z(�*.�OJ:*%N$OP<G/7,I*7.&!K2 9D./-4�.;$.I$2H<ก$2 -?#

VM�;��%$K'%M2:C:'#+8�'�4C,�Y4 3;C'48�()*ก*�*+�2$K2,ก*C,�Y4 J:*%N$OP<กY9D,I*7.&!K2#+8�'�4C,�Y4CM4+ C$'2$K2 ก����������ก��ก���ก� � �������ก���������� ���������ก��������กYLCM

6.2 ����ก��ก�� ��ก�������� 6.�+V!' �������������� !"��ก������#�ก ��ก�����$� 1

'�(����� ��*� ��������������)�"������$� 1 '�(�����

�� ��ก���ก�����ก����� = ,4:�

*C&!K2N$OP<G/7,ก(�*.�OJ:*%=

,4:�C:' $K'%M2G/7:(�*.�O;��%

ก��4$C#$%��ก��,ก*C()*ก*�*+� 9D4$C9�ก(�*.�O&#'J:*%N$OP<G/7,ก*C&!K2 6�?# (�*.�O&#'

;��%$K'%M2G/7:C:' &!K2#+T8ก$Z:$ก"OD&#'&M#.T:G/7./#+T8 3%8�� � �����������ก��ก���ก� ���ก���!� ���������" ������ก��ก���ก� �# �ก��

Page 4: Rate of Chemical Reaction

RATE OF CHEMICAL REACTION 2552

���� 215

6.2.1 ,�-�,���� ��ก���ก�����ก��������� &!K2#+T8ก$Z52*C&#'()*ก*�*+� ,582 ก. 4$C#$%��ก��,ก*C()*ก*�*+�9�ก(�*.�%�6�?#-4�.C$2G/7,(:/7+23(:'L( X2�DZZG/7./3กf; &. 4$C#$%��ก��,ก*C()*ก*�*+�9�ก;/&#'�DZZG/7,(:/7+23(:'L( -. 4$C#$%��ก��,ก*C()*ก*�*+�9�ก-4�.,&M.&M2&#';��:D:�+G/7,(:/7+23(:'L( '. 4$C9�ก(�*.�O&#'&#'3&Y'G/7,ก*C&!K2 g:g

�,��.�/�� 6.1 9�ก()*ก*�*+�%8#L(2/K ;�.��V4$C#$%��ก��,ก*C()*ก*�*+�LCM#+8�'L�ZM�'

2KMnO4 (aq) + 16HCl (aq) → 2KCl (aq) + 2MnCl2 (aq) + 7H2O (l) + 5Cl2(g)

������ #�99D4$C#$%��ก��,ก*C()*ก*�*+�LCMC$'%8#L(2/K ก. 4$C9�ก;/&#' KMnO4 G/79�'6�+L( &. 4$C9�ก pH &#';��:D:�+G/7,I*7.&!K2 -. 4$C9�ก(�*.�%� 6�?# -4�.C$2&#'3กf; Cl2 G/7,ก*C&!K2 '. 4$C9�ก-4�.,&M.&M2&#';��:D:�+%8�'F ,582 HCl , KMnO4 ,(12%M2

6.2.2 ก���0��,1�� ��ก���ก�����ก����� I*9��O�LCM9�ก;.ก��G/7(l*ก*�*+�2$K2,ก/7+4&M#'

mC+X5Mm.:,&M�584+

�,��.�/�� 6.2 X2()*ก*�*+�%8#L(2/K Mg + 2HCl → MgCl2 + H2 9�กก��GC:#'IZ48� ,.?7#X;8 Mg 5*K262!7':'X2ก�C HCl 9W�242.�ก,ก*2I# 6:$'9�ก,4:�J8�2L( 5 2�G/ (��ก)48� Mg :C:' 4.8 ก�$.

ก. 9'-W�24O#$%��ก��,ก*C H2 3:D#$%��ก��:C:'&#' HCl ,(12 m.:/2�G/ &. 9'-W�24O#$%��ก��,ก*C()*ก*�*+�,(12 m.:/2�G/

������ 9�กm9G+<X2,4:� 5 2�G/ Mg :C:' 4.8 ก�$. = 24

8.4 = 0.2 m.:

#$%��ก��:C:'&#' Mg = [ ]

tMg∆

∆ =

52.0

= 0.04 m.:/2�G/

ก. #$%��ก��,ก*C H2 = #$%��ก��:C Mg = 0.04 m.:/2�G/ #$%��ก��:C HCl = 2 #$%��ก��:C Mg = 0.08 m.:/2�G/

&. #$%��ก��,ก*C()*ก*�*+� = #$%��ก��:C Mg = 0.04 m.:/2�G/

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RATE OF CHEMICAL REACTION 2552

���� 216

6�?##$%��ก��,ก*C()*ก*�*+� = 21

#$%��ก��:C HCl = 08.021× = 0.04 m.:/2�G/

9D,6Y2LCM48� #$%��ก��,ก*C()*ก*�*+�9D%M#'./-8�,G8�ก$2 3.M48�#$%��ก��,(:/7+23(:' (�*.�O&#';��%8�' F 9DL.8,G8�ก$2

6.2.3 ��3�4�5�/�� ��ก���ก�����ก����� 3Z8',(12 2 (�D,NG -?# 1. #$%��ก��,ก*C()*ก*�*+�,q:/7+ 2. #$%��ก��,ก*C()*ก*�*+�&ODXC&OD62!7'

B!7'#$%��ก��,ก*C()*ก*�*+�G$K' 2 52*C9DL.8,G8�ก$2 X2%#2%M2 F &#'()*ก*�*+� #$%��ก��,ก*C()*ก*�*+� O &ODXC&OD62!7' 9D;T'ก48�#$%��,q:/7+ 3%8X2584'GM�+ F 9D5M�ก48�#$%��,q:/7+ #$%��ก��,ก*C()*ก*�*+�X2,G#.&#'ก��r

#�99D,&/+2ก��rmC+%�' �D648�' #$%��ก��,ก*C()*ก*�*+�ก$Z,4:� 6�?# �D648�'-4�.

,&M.&M2ก$Z,4:� ,582()*ก*�*+� A → B ,(12ก��r3;C'#$%��ก��,ก*C()*ก*�*+�LCMC$'2/K

�,��.�/�� 6.3 ,.?7#2W�;�� 3 52*C A , B , C (�*.�O,G8�ก$2.�J;.ก$2 ,.?7#,4:�J8�2L( %�496�(�*.�O&#';��G$K' 3 LCMC$'X2�T(

9�ก�T( 6.�+-4�.48�#+8�'L�

ก. A + B → C &. B + C → A

-. C → A '. A + C → B

�6��� 6.1 7��6� 5. �� ��ก���ก�����ก������89���ก��:�ก�����1;�� A ��*� B ����9���<�9/��=/���7� 1 ��.,��,9� <93�� ��ก���ก�����ก�����5137�513��>/�*� �.��,��?��5�/ก��@ (slope) 5�/ก��@ 1 �,9���=� A

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RATE OF CHEMICAL REACTION 2552

���� 217

������ 9�กก��r 9D,6Y2LCM48� ,.?7#,4:�J8�2L(;�� A 9D.�ก&!K2 3%8;�� C :C:' X2&ODG/7;�� B

,G8�,C*. 3;C'48�;�� B L.8,ก*C()*ก*�*+� #$%��ก��,(:/7+2-4�.,&M.&M29!',(12 T2+< ;�� A ,I*7. 3;C'48�,(12J:*%N$OP<

C$'2$K2 ()*ก*�*+� -?# C → A .............................................(-)

�,��.�/�� 6.4 ;W�6�$Z()*ก*�*+� 2H2O2 (aq) → 2H2O (l) + O2 (g) B!7',ก*C&!K2X2�DZZ(tC #$%��ก��;:�+%$4&#'LumC�,92,(#�<##กLBC< (4$C9�ก(�*.�%�&#'3กf; O2

G/7,ก*C&!K2) ,(:/7+2L(%�.,4:�C$'ก��r�T(XC ������ ,2?7#'9�ก,ก*CX2�DZZ(tC 9!'./N�4D;.CS:,ก*C&!K2 #$%��ก��;:�+%$4&#' H2O2 X2%#23�ก9D./-8�.�ก 3:D-8#+F2M#+:'%�.:W�C$Z 92V!';.CS: GW�X6M#$%��ก��,ก*C O2 B!7'LCM9�กก��;:�+%$4&#' H2O2 ./-8�.�กX2%#23�ก 3:M4-8#+F:C:' ���!��$� ก. #&'" �"���(��)��ก��*��������+���,-��"�#&'��'����.�

6.2.4 �C::������D9 .��� ��ก���ก�����ก�����

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RATE OF CHEMICAL REACTION 2552

���� 218

,��;�.��V-4Z-S.#$%��ก��,ก*C()*ก*�*+�X6M,�Y4&!K26�?#5M�:'กYLCM CM4+ก��-4Z-S.(E99$+%8#L(2/K

1. 52*C&#';��%$K'%M2 2. -4�.,&M.&M2&#';��%$K'%M2G/7,(12;��:D:�+6�?#กf�B 3. I?K2G/7J*4&#'&#'3&Y'6�?#&#',6:4X2()*ก*�*+�,2?K#J;. 4. #SO6NT.* 5. %$4,�8'6�?#%$46284'()*ก*�*+�

6.2.4.1 ?���5�/;�� �=/ ��ก���� ��ก���ก�����ก���������

X2()*ก*�*+�52*C,C/+4ก$2 3%8X5M;��%$K'%M2%8�'52*Cก$2 9D,ก*C()*ก*�*+�LCM,�Y4L.8,G8�ก$2 ,582 ()*ก*�*+��D648�'m:6D ก$Z ##กB*,92 ,ก*C,(12m:6D##กLBC< G#'3C'6�?#,'*2 9D,ก*C()*ก*�*+�5M�.�ก,.?7#,J��4.ก$Z##กB*,92 X2&ODG/7VM�,(:/7+2,(123.ก2/,B/+.9D%*CLr#+8�'�4C,�Y4 3:DVM�,(12m:6DmB,C/+.9D%*CLrLCM,#'#+8�'�4C,�Y4X2#�ก�

3%8;��%$K'%M252*C,C/+4ก$2 ,.?7#,(:/7+2:$ก"OD&#'()*ก*�*+�,-./ #$%��ก��,ก*C()*ก*�*+�กY9D,(:/7+2L(9�ก,C*. ,582 Ag+ 9D%กJ:!ก,(12 AgCl LCM,�Y4.�ก,.?7#GW�()*ก*�*+�ก$Z Cl- X2&ODG/7 Na+ %กJ:!ก,(12 NaCl LCM5M�.�ก

6.2.4.2 D95�/�,���5��5��ก���� ��ก���ก�����ก��������� mC+G$74 F L( ,.?7#,I*7.-4�.,&M.&M2&#';��%$K'%M2 9DGW�X6M#$%��ก��,ก*C()*ก*�*+�,I*7.&!K2

ก��I*9��O�48�-4�.,&M.&M2&#';��XCZM�'./J:%8##$%��ก��,ก*C()*ก*�*+�3:D./J:.�ก2M#+,I/+'XC I*9��O�LCM9�กJ:ก��GC:#' 3:D-W�24OmC+#� $+กl#$%��,�Y4,&M�584+

4Ag(s) + O2(g) → 2Ag2O(s) 5M�.�ก

2Cu(s) + O2(g) → 2CuO(s) 5M�

2Mg(s) + O2(g) → 2MgO(s) ,�Y4

4Na(s) + O2(g) → 2Na2O(s) ,�Y4.�ก, �D,Z*C

Ag+(aq) + Cl-(aq) → AgCl(s) ,�Y4.�ก

Mg2+(aq) + C2O42- (aq) → MgC2O4(s) 5M�

Na+(aq) + Cl-(aq) → NaCl(s) 5M�.�ก

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RATE OF CHEMICAL REACTION 2552

���� 219

)��"���+� �����ก��ก���ก� ���)/��� $ ก�,"���)��)��)�����!�,��� �����������กก��#���� # ����� ��0�������ก��ก���� ���

กE�� ����F,

X5M3;C'-4�.;$.I$2H<�D648�' ����ก��ก�� ��ก����� ก$Z �����)��)����������)� mC+ก:8�4L4M48� 1�����ก��ก���ก� � �2����� ��3� ���ก�,"���)��)��)������������4

,582 ()*ก*�*+� aA + bB → cC

9DLCM R ∝ [A]m 3:D R ∝ [B]n

6�?# R ∝ [A]m[B]n R = k[A]m[B]n

R -?##$%��ก��,ก*C()*ก*�*+� [A],[B] -?#-4�.,&M.&M2&#';�� A 3:D B %�.:W�C$Z m , n -?##$2C$Z&#'()*ก*�*+�,G/+Zก$Z A 3:D B %�.:W�C$Z m + n -?##$2C$Z�4.&#'()*ก*�*+� (m #�99D,G8�ก$Z a 6�?#L.8,G8�กYLCM

,582,C/+4ก$Z n B!7'#�99D,G8�ก$Z b 6�?#L.8กYLCM G$K'2/K9D%M#'LCM9�กก��GC:#')

k -?#-8�-'G/7#$%��,�Y4&#'()*ก*�*+� ก����กE�� ����F,

VM�./;��%$K'%M2 2 52*C 9D./%$43(�G/7L.8G��Z-8� 3 %$4 -?# k , m 3:D n C$'2$K29!'%M#'GC:#'#+8�'2M#+ 3 ก��GC:#' mC+,:?#ก-4�.,&M.&M2%8�'Fก$2 ,I?7#2W�.�3G2-8�:'X2;.ก��&#'กl#$%��,�Y4 3:M43กM;.ก��6�-8� k , m 3:D n

-8�&#' m 3:D n 9DZ#กX6MG��Z48�#$%��ก��,ก*C()*ก*�*+�&!K2#+T8ก$Z;��XCZM�' .�ก2M#+,G8�XC &!K2#+T8ก$Z-4�.,&M.&M2&#';��XC.�กก48� ,582 VM�9�กJ:ก��GC:#',&/+2;.ก��LCM,(12

2NO + O2 → 2NO2

LCM-8� m = 2 , n = 1 3;C'48� R = k[NO]2 [O2] X2ก�O/2/KG$K';�� NO 3:D O2 9D./J:%8##$%��ก��,ก*C()*ก*�*+�mC+G/7 NO ./J:.�กก48� O2

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RATE OF CHEMICAL REACTION 2552

���� 220

J:Z4ก�D648�' m ก$Z n ,�/+ก48� �����*��� ��ก����� (order of the reaction) X2()*ก*�*+�2/K ,�/+ก48�()*ก*�*+�#$2C$Z;�. (third order) ,I��DJ:Z4ก&#',:&+กกW�:$' (2 + 1) ,G8�ก$Z 3 3:D#�9,�/+ก()*ก*�*+�#$2C$Z;#' (second order) ,.?7#,G/+Zก$Z NO 3:D,�/+ก48�()*ก*�*+�#$2C$Z62!7' (first order) ,.?7#,G/+Zก$Z O2

�,��.�/�� 6.5 ()*ก*�*+�,ก*C&!K2C$';.ก�� A + 2B → C 3:D./J:ก��GC:#'C$'2/K

ก����9�/�� [A] mol/l [B] mol/l �� ��ก���ก��5�/ C mol/l-sec

1 1.0 1.0 2.5 2 2.0 1.0 2.5 3 1.0 2.0 2.5

ก. #$%��ก��,ก*C&#' C ./-4�.;$.I$2H<ก$Z-4�.,&M.&M2&#' A 3:D B #+8�'L� &. X2ก��GC:#'G/7 1 VM�:C(�*.�O&#';��%$K'%M2X6M,6:?#,I/+'-�!7'62!7'9D./J:%8#ก��,ก*C&#'

C #+8�'L� ������

ก. I*9��O�9�กกl#$%��,�Y4 R = k[A]m[B]n 9�กก��GC:#'G/7 1 ; 2.5 = k[1.0]m[1.0]n ....................................(1)

9�กก��GC:#'G/7 2 ; 2.5 = k[2.0]m[1.0]n ....................................(2) 9�กก��GC:#'G/7 3 ; 5.0 = k[1.0]m[2.0]n ....................................(3)

mnm

nm

(2) 1 [1.0]k[1.0][1.0]k[2.0]

2.52.5

; 1 2 =⇒=÷ nn0

n0

(2) 2 [1.0]k[2.0][2.0]k[1.0]

2.55.0

; 2 3 =⇒=÷

0 m =∴ 1 n =∴ k 2.5 [1.0] k[1.0] 2.5 10

=⇒=

2.5 k =∴ 9�ก (1) , (2) , (3) ; m = 0 , n = 1 , k = 2.5

∴ R = k[B] = 2.5[B] #$%��ก��,ก*C&#' C ,(12 2.5 ,G8�&#'-4�.,&M.&M2&#' B

&. 9�กก��GC:#'G/7 1 ,.?7# [A] = 0.5 , [B] = 0.5 R = 2.5 (0.5) = 1.25 mol/l-sec C$'2$K2 #$%��ก��,ก*C&#' C 9D:C:'-�!7'62!7'

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RATE OF CHEMICAL REACTION 2552

���� 221

�,��.�/�� 6.6 9�กก��4$C#$%��ก��,ก*C()*ก*�*+� 2P + Q → 2R LCMJ:C$'2/K

ก����9�/�� [P] mol/l [Q] mol/l R mol/l-sec

1 0.1 0.1 1.0×10-6 2 0.5 0.4 1.6×10-3 3 0.2 0.3 1.08×10-4 4 0.4 0.3 4.32×10-4

ก. 9'6�กl#$%��,�Y4 &. 9'-W�24O-8�-'G/7#$%��,�Y4 -. VM� [P] = 0.3 mol/l 3:D [Q] = 0.2 mol/l 9D./#$%��ก��,ก*C()*ก*�*+�,(12,G8�XC

������ ก. 9�ก R = k[P]m[Q]n

9�กก��GC:#'G/7 1 ; 1.0 x 10-6 = k[0.1]m[0.1]n ....................................(1) 9�กก��GC:#'G/7 3 ; 1.08 x 10-4 = k[0.2]m[0.3]n ....................................(2) 9�กก��GC:#'G/7 4 ; 4.32 x 10-4 = k[0.4]m[0.3]n ....................................(3)

mnm

nm

4-

-4

(2) 4 [0.3]k[0.2][0.3]k[0.4]

101.08104.32

; 2 3 =⇒=×

×÷

2 m =∴ nn

n2

n2

-6

-4

(3) 27 4(3) 108 [0.1]k[0.1][0.3]k[0.2]

101.0101.08

; 1 2 =⇒=⇒=×

×÷

3 n =∴ 9�ก (1) , (2) , (3) ; m = 2 , n = 3

∴ R = k[P]2[Q]3 &. 9�ก (1)

1.0 x 10-6 = k (0.1)2(0.1)3 k = 0.1

-. R = 0.1(0.3)2(0.2)3

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RATE OF CHEMICAL REACTION 2552

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= 7.2 x 10-5 mol/l-sec

�,��.�/�� 6.7 9�ก()*ก*�*+� 2H2 + 2NO → 2H2O + N2 ./J:ก��GC:#'C$'2/K 1. VM�,I*7. [H2] 2 ,G8� #$%��ก��,ก*C()*ก*�*+�,I*7. 2 ,G8� 2. VM�,I*7. [NO] 2 ,G8� #$%��ก��,ก*C()*ก*�*+�,I*7. 4 ,G8� 3. VM�,I*7. [H2] 3 ,G8� #$%��ก��,ก*C()*ก*�*+�,I*7. 3 ,G8� 4. VM�,I*7. [NO] 3 ,G8� #$%��ก��,ก*C()*ก*�*+�,I*7. 9 ,G8�

9'6�กl#$%��,�Y4 ������ 9�ก R = k[H2]

m[NO]n X6M,�*7.%M2./ [H2] = x , [NO] = y

R = k[x]m[y]n .........................................(1) 9�ก 1 ; 2R = k[2x]m[y]n .......................................(2) 9�ก 2 ; 4R = k[x]m[2y]n .......................................(3)

mnm

nm

(2) 2 [y]k[x][y]k[2x]

R2R

; 1 2 =⇒=÷

1 m =∴ n

n

n1

n1

(2) 4 2

(2) 2

[y]k[2x][2y]k[x]

2R4R

; 2 3 =⇒=⇒=÷

2 n =∴ 9�ก (1) , (2) 3:D (3) LCM m =1 , n = 2

∴ R = k[H2][NO]2 ก��T�:��1��� ��ก���ก�����ก�����7�����5�/ก��@

VM�,(12()*ก*�*+�#$2C$Z62!7' ,582 R = k[A] ,.?7#,&/+2ก��r�D648�' R ก$Z [A] -4�9DLCMก��r,;M2%�'J8�29SCกW�,2*C 3:D./-4�.5$2 = k

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RATE OF CHEMICAL REACTION 2552

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�6��� 6.2 ก��@�3�,.�/�� ��ก���ก�����ก����� ( R ) ก���,���5��5��5�/;�� A ( [A] )

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%8##$%��ก��,ก*C()*ก*�*+� +*7';��%$K'%M2./I?K2G/7J*4.�ก,G8�XC กY+*7'9D,ก*C()*ก*�*+�LCM,�Y4.�ก&!K2,G8�2$K2 ,I��D()*ก*�*+�9D,ก*C%�';842&#'J*4G/7;$.J$; ,582 VM�2W�:4C Mg 1 5*K2 GW�()*ก*�*+�ก$Zก�C HCl 9W�242.�ก,ก*2I# 9D,ก*C()*ก*�*+�5M�ก48�,.?7#X5MJ' Mg 62$ก,G8�ก$2GW�()*ก*�*+�ก$Zก�C HCl ,I��D Mg ก$Z HCl ,(12()*ก*�*+�,2?K#J;. ,.?7#X5MJ' Mg I?K2G/7J*49D.�ก ()*ก*�*+�9!',ก*C,�Y4

6.2.4.4 D95�/�U1�46�� .��� ��ก���ก�����ก����� mC+G$74L( ,.?7##SO6NT.*,I*7.&!K2 #$%��ก��,ก*C()*ก*�*+�9D,I*7.&!K2 3:D,.?7##SO6NT.*:C:'

#$%��ก��,ก*C()*ก*�*+�9D:C:' ,582 ก��,กYZ#�6��L4MX2%TM,+Y2 GW�X6M#�6��ZTC,28�5M�:' ,I��DX2%TM,+Y2./#SO6NT.*%7W�

6.2.4.5 D95�/ �,��./���ก�����<93 �,��.,/���ก����� .��� ��ก���ก�����ก����� 2#ก9�ก9D,I*7.#$%��ก��,ก*C()*ก*�*+�mC+ก��,I*7.-4�.,&M.&M2 ,I*7.#SO6NT.* 3:D,I*7.I?K2G/7

J*43:M4 +$';�.��V,I*7.#$%��ก��,ก*C()*ก*�*+�LCMmC+,%*.;��Z�'#+8�'G/7,�/+ก48� ���(� ��ก�����

(catalyst) :'L( ,582

(g) 3O (s) 2KCl (s) 2KClO 2MnO

32 +→

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���(� ��ก����� 6.�+V!' ;��G/7584+GW�X6M()*ก*�*+�,ก*CLCM,�Y4&!K2 mC+G/7%$4,�8'()*ก*�*+�2$K2

#�99D./;842�84.ก$Z()*ก*�*+�mC+%�'6�?#mC+#M#.กYLCM 3%8,.?7#()*ก*�*+�,ก*C&!K2;.ZT�O<3:M4 9D%M#'LCMก:$Z-?2.�,G8�,C*.

2#ก9�ก%$4,�8'()*ก*�*+�3:M4 +$'./ ��'�(�� ��ก����� (inhibitor) B!7'GW�X6M()*ก*�*+�,ก*C5M�:'

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�,��.�/�� 6.8 ก��GC:#'X2&M#XC ./#$%��ก��,ก*C()*ก*�*+�;T'G/7;SCG/7#SO6NT.*,C/+4ก$2 ก. X;83J82;$'กD;/ 1 5*K2 62$ก 1 ก�$. :'X2ก�C HCl 0.1 mol/dm3 &. X;83J82;$'กD;/ 2 5*K2 62$ก5*K2:D 0.5 ก�$. :'X2ก�C HCl 0.2 mol/dm3 -. X;8;$'กD;/J':D,#/+C62$ก 1 ก�$. :'X2ก�C HCl 0.1 mol/dm3 '. X;8;$'กD;/J':D,#/+C62$ก 1 ก�$. :'X2ก�C HCl 0.2 mol/dm3

������ X2()*ก*�*+�,2?K#J;. 2#ก9�กก��,I*7.-4�.,&M.&M2 9DGW�X6M#$%��ก��,ก*C()*ก*�*+�,I*7.&!K23:M4 ก��,I*7.I?K2G/7J*4กYGW�X6M#$%��ก��,ก*C()*ก*�*+�,I*7.&!K2,582,C/+4ก$2 C$'2$K2ก��X5MJ';$'กD;/ (,I*7.I?K2G/7J*4) 3:Dก��X5M HCl 0.2 mol/l (,I*7.-4�.,&M.&M2) 9DGW�X6M#$%��ก��,ก*C()*ก*�*+�;T';SC...........................................................(')

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ก. #S82X6M�M#2 ,I?7#,I*7.#SO6NT.* &. X5M;��:D:�+./-4�.,&M.&M2;T' -. X5M4*H/-2#+8�';.7W�,;.# '. X5M4*H/ก��G$K' ก , & 3:D -

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�XYE�ก��?�ก��5�/Z��9กU9 ,(12G~"l/G/7X5M#H*Z�+48� ()*ก*�*+�,-./,ก*C&!K2LCM#+8�'L� ,I?7#G/79D#H*Z�+LCM48� ,6%SXC#$%��ก��,ก*C()*ก*�*+�9!'&!K2ก$Z #SO6NT.* -4�.C$2 I?K2G/7J*4 -4�.,&M.&M2 �4.G$K'%$4,�8'3:D%$46284'()*ก*�*+� X2()*ก*�*+�,-./ ;��%$K'%M29D,(:/7+23(:'L(,(12J:*%N$OP<LCM กY%8#,.?7#m.,:กS:&#';��%$K'%M2./ก��52ก$2 ,582 H2 9DGW�()*ก*�*+�ก$Z Cl2 ,ก*C,(12 HCl LCMกY%8#,.?7# H2 3:D Cl2 ./ก��52ก$2 +*7'52ก$2Z8#+,G8�L� กY+*7'./m#ก�;,ก*C()*ก*�*+�LCM.�ก,G8�2$K2 3%8X2&ODG/7,ก*C()*ก*�*+�,-./ 9D./G$K'ก��;:�+3:Dก��;�M�'I$2HD C$'()*ก*�*+�

H2(g) + Cl2(g) → 2HCl(g) 9D./ก��;:�+I$2HD H2(g) 3:D Cl2(g)

H2(g) → 2H(g)

Cl2(g) → 2Cl(g)

3:M49!'./ก��;�M�'I$2HD�D648�' H ก$Z Cl

2H(g) + 2Cl(g) → 2HCl(g) -�+I:$''�2

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6.5 D95�/�,���5��5�� .��� ��ก���ก�����ก����� ,.?7#-4�.,&M.&M2&#';��,I*7.&!K2 #$%��ก��,ก*C()*ก*�*+�9D,I*7.&!K2 ,2?7#'9�กก��,I*7.-4�.,&M.&M2 กY-?# ก��,I*7.9W�242#2SN�-G/79D,&M�.�52ก$2 ,.?7##$%��ก��52.�ก&!K2 #$%��ก��,ก*C()*ก*�*+�9!',I*7.&!K2LCM X2Z�'ก�O/ก��,I*7.-4�.,&M.&M2#�99DL.8./J:%8##$%��ก��,ก*C()*ก*�*+� G$K'2/K&!K2#+T8ก$Z ก�=ก��� ��ก����� ก9[ก5�/���ก����� 6.�+V!' &$K2%#2&#'ก��,ก*C()*ก*�*+� B!7'#�99D./,I/+' 1 &$K2%#2 6�?# 6:�+&$K2%#2 X2ก�O/G/7./6:�+&$K2%#2 3%8:D&$K2%#29D,ก*CLCM,�Y4L.8,G8�ก$2 3:D./I:$''�2ก�D%SM2%8�'ก$2 &$K2%#2G/7,ก*C5M�G/7;SC 9DV?#48�,(12&$K2%$C;*2#$%��ก��,ก*C()*ก*�*+� I:$''�2ก�D%SM2&#'&$K2%#2G/7,ก*C5M�G/7;SC -?#I:$''�2ก�D%SM2&#'()*ก*�*+� ;W�6�$Zกl#$%��,�Y4 9DI*9��O�9�ก9W�242#2SN�-G/7#+T8X2&$K2%#2G/75M�G/7;SC ,582

A + 2B → AB2 ()*ก*�*+�#�99D,ก*CLCM6:�+3ZZ C$'2/K

1. A + 2B → AB2 ,ก*C()*ก*�*+�&$K2%#2,C/+4 ./I:$''�2ก�D%SM2-8�,C/+4 กl#$%��,�Y4 R = k[A][B]2 ก��r3;C'ก��CW�,2*2L(&#'()*ก*�*+�9D,(12C$'2/K (;.Z$%*,(12(�D,NG-�+-4�.�M#2)

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RATE OF CHEMICAL REACTION 2552

���� 231

2. A + B → AB ,ก*C5M�

AB + B → AB2 ,ก*C,�Y4 ,ก*C()*ก*�*+�&$K2+8#+ 2 &$K2%#2 mC+&$K2%#23�ก,ก*C5M� &$K2G/7 2 ,ก*C,�Y4 I:$''�2ก�D%SM29D./ 2 -8� ,2?7#'9�ก&$K23�ก,ก*C5M� 9!'X5M,(12&$K2%$C;*2#$%��ก��,ก*C()*ก*�*+� I:$''�2ก�D%SM2&#'&$K22/K9DV?#48�,(12I:$''�2ก�D%SM2&#'()*ก*�*+� ,2?7#'9�กX2&$K2G/7,ก*C5M�,ก/7+4&M#'ก$Z#2SN�- A 3:D B #+8�':D 1 #2SN�-

∴ กl#$%��,�Y4 R = k[A][B] ก��CW�,2*2L(&#'()*ก*�*+�9D,(12C$'2/K

6.6 D95�/�U1�46�� .��� ��ก���ก�����ก����� mC+G$74FL( m.,:กS:;842X6�89D./I:$''�22M#+ก48� Ea ,.?7#,I*7.#SO6NT.*X6M3ก8�DZZ9DGW�X6M./m.,:กS:I:$''�2;T'F,I*7.&!K2 m.,:กS:G/7./I:$''�2;T',6:8�2$K2;84262!7'9D./I:$''�2.�กก48� Ea B!7'VM�,&M�.�52ก$2X2G* G�'G/7,6.�D;.กY9D,I*7.#$%��ก��,ก*C()*ก*�*+�LCM :$ก"OD&#'ก��r3;C'ก��ก�D9�+I:$''�29:2<&#'m.,:กS: ,.?7##SO6NT.*,I*7.&!K29D,(12C$'2/K

E = I:$''�2,q:/7+&#'m.,:กS:G/7 T1 B!7'./-8�2M#+ก48� Ea

�6��� 8.10 1aE 3:D

2aE ,(12I:$''�2ก�D%SM2

&#'&$K2 1 3:D 2 %�.:W�C$Z 3:D ,(12I:$''�2ก�D%SM2&#'()*ก*�*+� ,I��D,(12I:$''�2ก�D%SM2&#'&$K2G/7,ก*C5M�

�6��� 6.11 ก��@<;�/ก��ก�3:��T9�//��:9�a5�/Z��9กU9 ���U1�46�� .�/ก��

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RATE OF CHEMICAL REACTION 2552

���� 232

G/7 T1 9W�242m.,:กS:G/7./I:$''�2.�กก48� Ea 9D./9W�2422M#+ (-?#;842 X2ก��r) 3:DG/7 T2 9W�242m.,:กS:G/7./I:$''�2.�กก48� Ea 9D.�กก48� (-?#;842 3:D X2ก��r) 9D,6Y2LCM48� Ea ./-8�-'G/7 L.8&!K2ก$Z#SO6NT.* ;�U�D95�/�U1�46�� ก. ก��,I*7.#SO6NT.* GW�X6M9W�242m.,:กS:G/7./I:$''�2;T'F ,I*7..�ก&!K2 ,.?7#52ก$29!',(12,6%SX6M()*ก*�*+�,ก*C,�Y4&!K2 &. ก��,I*7.6�?#:C#SO6NT.* 9DL.8GW�X6M-8� Ea ,(:/7+23(:'L( -. #SO6NT.*2#ก9�ก9DGW�X6M()*ก*�*+�,ก*C,�Y4&!K23:M4 +$';�.��V,(:/7+2ก:Lก&#'()*ก*�*+�LCM '. mC+G$74FL( ,.?7##SO6NT.*,I*7.&!K2 10OC #$%��ก��,ก*C()*ก*�*+�9D,I*7.(�D.�O 2-3 ,G8�

6.7 D95�/ �,��./���ก����� .��� ��ก���ก�����ก����� %$4,�8'()*ก*�*+�GW�X6M()*ก*�*+�,ก*C,�Y4&!K2LCM ,I��DL(:CI:$''�2ก�D%SM2&#'()*ก*�*+� %$4,�8'()*ก*�*+�#�99D./;842�84.X2ก��,ก*C()*ก*�*+�mC+%�' 6�?# mC+G�'#M#.กYLCM #�99DGW�X6M,ก*Cก:Lก&#'()*ก*�*+�3ZZX6.8G/7./6:�+&$K2%#2LCM

,582 ()*ก*�*+� A → B ก. VM�%$4,�8'()*ก*�*+�./;842�84.X2ก��,ก*C()*ก*�*+�mC+#M#. ,582 584+9$CG* G�'ก��52X6M,6.�D;. X2ก�O/2/Kก:Lก&#'()*ก*�*+�9D,6.?#2,C*. ,I/+'3%8I:$''�2ก�D%SM2:C:',G8�2$K2 &. VM�%$4,�8'()*ก*�*+�./;842�84.X2ก��,ก*C()*ก*�*+�mC+%�' 9D,ก*Cก:Lก&#'()*ก*�*+�3ZZX6.8 ,582

A + X → AX ,ก*C5M�

AX → B + X ,ก*C,�Y4

→ B A X

%$4,�8'()*ก*�*+� (X) 9DGW�X6M,ก*Cก:Lก&#'()*ก*�*+�,(12 2 &$K2%#2 X2ก�O/2/K &$K23�ก,ก*C5M� &$K2G/7 2 ,ก*C,�Y4 Ea &#'&$K23�ก9D.�กก48�&$K2G/7 2 Ea &#'G$K' 2 &$K2 9D./-8�2M#+ก48� Ea ,.?7#L.8X5M%$4,�8'()*ก*�*+� :$ก"ODก��r,.?7#X5M%$4,�8'()*ก*�*+� ,(�/+Z,G/+Z9�ก,.?7#L.8X5M 9D,(12C$'2/K

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RATE OF CHEMICAL REACTION 2552

���� 233

Ea , Ea� -?#I:$''�2ก�D%SM2&#'()*ก*�*+�G/7L.8./%$4,�8'()*ก*�*+�3:D./%$4,�8'()*ก*�*+�%�.:W�C$Z

9D,6Y2LCM48� Ea > Ea� 3:D ∆E L.8,(:/7+2 3(:' ;�S(LCM48�()*ก*�*+�,ก*C,�Y4&!K2 ,I��D

I:$''�2ก�D%SM2:C:' 3%8I:$''�2&#'()*ก*�*+� (∆E ) ,G8�,C*. ,I��D%$4,�8'()*ก*�*+�:C,qI�DI:$''�2ก�D%SM2,G8�2$K2 L.8,ก/7+4ก$ZI:$''�2&#'()*ก*�*+�

'aa 1

E E > 3:D 'aa 2

E E > 3;C'48�I:$''�2ก�D%SM2:C:' 'a

'a 21

E E > 3;C'48�&$K23�ก,(12&$K2%$C;*2#$%��ก��,ก*C()*ก*�*+�

3:DV?#48� 'a1

E -?#I:$''�2ก�D%SM2&#'()*ก*�*+�G/7./%$4,�8'()*ก*�*+�

�)����ก ก. %$4,�8'()*ก*�*+�GW�X6MI:$''�2ก�D%SM2:C:' ()*ก*�*+�9!',ก*C,�Y4&!K2 &. %$4,�8'()*ก*�*+�L.8./J:%8#I:$''�2&#'()*ก*�*+� -. VM�,(12()*ก*�*+�G/7J$2ก:$ZLCM %$4,�8'()*ก*�*+�9D:CI:$''�2ก�D%SM2G$K'()*ก*�*+�L(&M�'62M�

3:D+M#2ก:$Z

�6��� 6.12 ก �,��./���ก������T��/< .9��.�T9�//��ก�3 U�� < .[�.[����9���<�9/ก9[ก5�/���ก�����

�6��� 6.12 5 �,��./���ก�������9���ก9[ก5�/���ก����� �0�7��T9�//��ก�3 U��9�9/

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RATE OF CHEMICAL REACTION 2552

���� 234

6.8 ก���0�/��5�/ �,��./���ก�������*=�D;� X2ก�O/G/7%$4,�8'()*ก*�*+�./;V�2D%8�'9�ก;��%$K'%M2 ,582 X5M Pt ,(12%$4,�8'()*ก*�*+� X2

→ 62Pt

242 HC H HC + ()*ก*�*+�9D,ก*C&!K2G/7J*4&#' Pt mC+ Pt 9D�4.ก$Z H ,(12 PtH 3:M49!'L(�4.ก$Z C2H4 LCM

,(12 C2H6

2PtH H 2Pt 2 →+

6242 HC 2Pt HC 2PtH +→+

→ 62Pt

242 HC H HC + X2()*ก*�*+�C$'ก:8�4 �+*7'%$4,�8'()*ก*�*+�./I?K2G/7J*4.�ก,G8�XC กY9D+*7',ก*C()*ก*�*+�LCM,�Y4

,G8�2$K2� �,��.�/�� 6.10 ;�� A GW�(l*ก*�*+�ก$Z;�� B LCM;�� C B!7'./ก��r3;C'ก��CW�,2*2L(&#'()*ก*�*+�C$'2/K

ก. I:$''�2ก�D%SM2&#'()*ก*�*+�-?#-8�I:$''�2584'XC (PQ , QR , PR , PS) &. VM�X;8%$4,�8'()*ก*�*+�:'L( ก��r3%8:D;8429D./ก��,(:/7+23(:'#+8�'L�

������ ก. 9�กกก��r I:$''�2ก�D%SM2&#'()*ก*�*+� -?# PQ &. %$4,�8'()*ก*�*+�:CI:$''�2ก�D%SM2 3%8L.8:CI:$''�2&#'()*ก*�*+� C$'2$K2 9SC P 9D:C%7W�:'

9SC X 3:D Y 9D-'G/7 �,��.�/�� 6.11 VM�ก��r�D648�'I:$''�23:Dก��CW�,2*2L(&#'()*ก*�*+� (ก) , (&) ,(12L(C$'3;C'

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RATE OF CHEMICAL REACTION 2552

���� 235

&M#-4�.,ก/7+4ก$Z()*ก*�*+�G$K';#'2/K &M#XCJ*C

1. ()*ก*�*+� (ก) ,(12()*ก*�*+�-�+-4�.�M#2 ;842 (&) CTC-4�.�M#2 2. I:$''�2ก�D%SM2&#' (ก) 9D,(12-�!7'62!7'&#'I:$''�2ก�D%SM2&#' (&) 3. J:*%N$OP<G/7LCM9�ก (ก) 9D,;V/+�ก48�J:*%N$OP<G/7LCM9�ก (&) 4. ก��rG$K';#'L.8X6M&M#.T:,ก/7+4ก$Z#$%��&#'()*ก*�*+�,:+

������ (1) VTก%M#' (ก) ,(12()*ก*�*+�-�+-4�.�M#2 ,I��DJ:*%N$OP<./I:$''�2%7W�ก48�;��%$K'%M2 ;842 (&) ,(12()*ก*�*+�CTC-4�.�M#2 ,I��DJ:*%N$OP<./I:$''�2;T'ก48�;��%$K'%M2

(2) VTก%M#' Ea &#' (ก) = 100 - 60 = 40 kJ/mol Ea &#' (&) = 100 - 20 = 80 kJ/mol

∴ Ea &#' (ก) ,(12-�!7'62!7'&#' (&) (3) VTก%M#' ,I��DJ:*%N$OP<X2 (ก) ./I:$''�2%7W�ก48�X2 (&) 9!',;V/+�ก48� (4) J*C ,2?7#'9�ก Ea ,(12&M#.T:G/7X5MกW�62C#$%��ก��,ก*C()*ก*�*+�LCM ()*ก*�*+�G/7./ Ea 2M#+ (ก) 9D,ก*CLCM,�Y4ก48�G/7./ Ea .�ก (&)

<��cdก����� 6.1

1. X2()*ก*�*+� A → B → C ./ก��,(:/7+23(:'I:$''�2C$'2/K

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RATE OF CHEMICAL REACTION 2552

���� 236

&M#-4�.%8#L(2/K &M#-4�.XCVTก%M#' ก. ,ก*C()*ก*�*+� 2 &$K2 3:D,ก*C;�� B &!K2.�กI#Fก$Z;�� C

&. ()*ก*�*+� A → B ,ก*CLCM,�Y4 ()*ก*�*+� B → C ,ก*CLCM5M� -. ,ก*C()*ก*�*+� 2 &$K2 3%8;�� B ก:�+,(12;�� C 926.C '. J:*%N$OP<;SCGM�+ -?#;�� B 52*C,C/+4

2. ;�� A GW�()*ก*�*+�ก$Z;�� B LCM;�� C 3:D ;�� D VM�./%$4-D%DL:;<9DGW�X6M,ก*C()*ก*�*+�

,�Y4&!K2

ก. I:$''�2ก�D%SM2L(&M�'62M�&#'()*ก*�*+�G/7./%$4,�8'()*ก*�*+�-?##DL� &. I:$''�2ก�D%SM2&#'()*ก*�*+�+M#2ก:$ZG/7L.8./%$4,�8'()*ก*�*+�-?##DL� -. ,.?7#./%$4,�8'()*ก*�*+�;�.��V:CI:$''�2ก�D%SM2LCM,G8�XC

3. ,.?7##SO6NT.*,I*7.&!K2#$%��ก��,ก*C()*ก*�*+�,I*7.&!K2CM4+ ,6%SJ:&M#XCVTก%M#'G/7;SC

ก. 9W�242m.,:กS:G/7./I:$''�2;T'ก48�I:$''�2ก�D%SM2,I*7..�ก&!K2 &. m.,:กS:G/7./I:$''�2;T'ก48�I:$''�2ก�D%SM252ก$2.�ก&!K2 -. 9W�242m.,:กS:G/7./I:$''�2;T'ก48�I:$''�2ก�D%SM2,I*7..�ก&!K2 3:D./ก��52ก$2.�ก&!K2 '. m.,:กS:G$K'6.C&#';��%$K'%M2./I:$''�2;T'ก48�I:$''�2ก�D%SM23:D52ก$2.�ก&!K2#+8�'VTก

G* G�'

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RATE OF CHEMICAL REACTION 2552

���� 237

4. ()*ก*�*+� 2A + B → A2B 9�กก�� !ก"�IZ48�./กl#$%��,�Y4 C$'2/K R = k[A]2 9',&/+2ก:Lก&#'ก��,ก*C()*ก*�*+�

5. ()*ก*�*+� A + B → C ./J:ก��GC:#'C$'2/K

ก��GC:#'G/7 -4�.,&M.&M2 (m.:/:*%�) #$%��,�Y4&#'()*ก*�*+�

(m.:/:*%�-4*2�G/) A B 1 2 3

0.010 0.010 0.030

0.010 0.020 0.020

2.0 4.0

12.0 ก. VM�กW�62CX6M r = #$%��,�Y4&#'()*ก*�*+� , k = -8�-'G/7 , [A] = -4�.,&M.&M2

&#' A , [B] = -4�.,&M.&M2&#' B #$%��,�Y4&#'()*ก*�*+�2/K,&/+2LCM,(12#+8�'L� &. -8�-'G/7 k &#'()*ก*�*+�,(12,G8�XC (6284+ :*%�/m.:-4*2�G/)

6. X2()*ก*�*+� Mg (s) + 2HCl (aq) → MgCl2 (aq) + H2 (g) IZ48� ,.?7#Xก:M()*ก*�*+�9D ;*K2;SC2$K2 #$%��ก��,ก*C3กf;LumC�,929D:C:' G$K'2/K,I��D,6%SXC

7. 3rก,%#�<G/7./#*GH*I:%8##$%��ก��,ก*C()*ก*�*+�,-./ -?# ก. -4�.,&M.&M2&#';��:D:�+ -4�.C$2 %$4-D%D:*;%< I$2HDm-,4,:2%< &. I$2HDm-,4,:2%< #SO6NT.* -4�.,&M.&M2&#';��:D:�+ -4�.C$2 -. #SO6NT.* -4�.,&M.&M2&#';��:D:�+ I?K2G/7J*4 %$4-D%D:*;%< '. #SO6NT.* I$2HDm-,4,:2%< I?K2G/7J*4 %$4-D%D:*;%< 8. ;�� C 3:D;�� D ,(12J:*%N$OP<G/7LCM9�กก��J;.;�� A 3:D B ,&M�CM4+ก$2 ก��r3;C'ก��

,(:/7+23(:'-4�.,&M.&M2&#';�� A , B , C 3:D D ,.?7#()*ก*�*+�CW�,2*2L(,&/+2LCMC$'2/K

9�กก��r 9';�S(J:G/7,ก*C&!K2

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RATE OF CHEMICAL REACTION 2552

���� 238

9. ,.?7#2W�3J82m:6D3.ก2/,B/+. (Mg) .�GW�()*ก*�*+�ก$Zก�CLumC�-:#�*ก (HCl) 9DLCM3กf;LumC�,92 (H2) ,ก*C&!K2 VM�9$Z,4:�3:D4$C(�*.�%�&#'3กf; 9DLCMJ:%�.ก��r

ก. ก��r584'XCG/73;C'48�3กf;LumC�,92,ก*C&!K2X2#$%��G/7�4C,�Y4.�กG/7;SC &. VM�X5M3J82m:6D3.ก2/,B/+../&2�CX6�8&!K2 ก��rG/7LCM9D./:$ก"OD#+8�'L� -. ,.?7#(:8#+X6M,ก*C()*ก*�*+�L(,�?7#+F 923.ก2/,B/+.VTกX5ML(X2()*ก*�*+�6.CL( VM�2W�,#� .4:&#'3.ก2/,B/+..�,&/+2ก��r;$.I$2H<ก$Z,4:� 9DLCMก��r./�T(:$ก"OD#+8�'L�