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'D3'&D : 'DE'/) 'D*J *E*DC -,E' E9JF' HDJ3 DG' 4CD' E9JF' H'FE' *#.0 4CD 'D'F'! 'D0J J-HJG' . 'D:'2: 'DE'/) 'D*J D'*EDC -,E' H4CD' E9JFJF H'FE' *#.0 4CD H-,E 'DH9'! 'D0J J-HJG'. 'D:'2 'DE+'DJ : 'FG 'D:'2 'D0J J7J9 (96 'DBH'FJF ( B'FHF (HJD  B'FHF 4'1D  B'FHF :JDH3'C B'FHF 'AHC'/1H  B'FHF /'D*HF DD6:H7 'D,2&J) B'FHF 'E'C'* DD-,HE 'D,2&J) B'FHF C1'G'E DD'F*4'1 ) . 'D:'2 'D-BJBJ : 'FG 'D:'2 'D0J J40 9F G0G 'DBH'FJF .¡®û ÿÿþG ÿÿþWÿÿþO ÿÿþŽ ÿÿþ'ªNL;$T  5óŸ TBH'FJF 'D:'2'* 'DE+'DJ) Ideal Gases laws ¡H+ ÿ3þ ÿ3þ ÿ3þ,ÿ3þª  Ÿ Ú1- B'FHF (HJD Boyles law ( 9F/ +(H* /1,) 'D-1'1) J*F'3( -,E CEJ) E9JF) EF 'D:'2 9C3J' E9 'D6:7 ) ¡Z%I  Þ    c  ª8    RóŸ 22- B'FHF 4'1D Charles law¡:0ÿ3þ 0ÿ3þ 0ÿ3þª,    Ÿª óŸ B3- B'FHF :'JDH3'C Gaylosaks law ¡X",ÿ3þ,ÿ3þ ,ÿ3þ  ,ÿ3þ,ÿ3þªt    Ÿ  ( 9F/ +(H* 'D-,E J*F'3( 6:7 CEJ) E9JF) EF 'D:'2 71/J' E9 /1,) 'D-1'1) )¡ IHªHóŸ D4- E9'/D) 'D-'D) Equation of state¡X#(ÿ3þ(ÿ3þ(ÿ3þ  (ÿ3þ(ÿ3þªD   Ÿ ê ( 9D'B) *4ED /E, B'FHFJ (HJD H4'1D DD-5HD 9DI 9D'B) (JF 'D-,E H'D6:7 H/1,) 'D-1'1) DC*D) E9JF) EF 'D:'2 ) ¡ vuªuó Ÿ @5- B'FHF 'AHC'/1H Avogadro s law¡8!,ÿ3þ,ÿ3þ,ÿ3þªF  Ÿ È ( 9F/ FA3 'D81HA EF /1,) 'D-1'1) H'D6:7 *-*HJ -,HE E*3'HJ) D9// EF 'D:'2'* FA3 'D9// EF 'D,2J&'* ) ¡"edª6/0ó Ÿ h6- 'DE9'/D) 'D9'E) DD:'2 'DE+'DJ Ideal gas equation ¡85 ÿ3þ  ÿ3þ ÿ3þª,   Ÿª ó ó  Ÿ ('J,'/ B'FHF 'DC+'A) ¡0!ÿ3þ(ÿ3þ(ÿ3þªó  Ÿ „7- B'FHF /'D*HF DD6:H7 'D,2&J) Daltons law for partial pressures ¡XC(ÿ3þ(ÿ3þ!(ÿ3þ  (ÿ3þ(ÿ3þªf ! Ÿ ” ( CD :'2 AJ E2J, EF 'D:'2'* J3D7 FA3 'D6:7 CE' DH C'F J4:D 'DH9'! DH-/G )¡KJªJó Ÿ ØE+'D : ,E9 'D'HC3,JF 'DE*-11 AJ *,1() 9EDJ) 'D*1CJ( 'D6H&J AHB 'DE'!  HC'F 'D:'2 'D0J ,E9 9F/ ( 22C ) H6:7 ( 758.3 mm.Hg ) -,EG ( 186 ml. ) . '-3( C*D) 'D'HC3,JF 'DF'*,) '0' 9DE* 'F 6:7 (.'1 'DE'! 9F/ ( 22 C ) J(D: ( 19.8 mm.Hg )  ¡‚ía   B  $$((,,ªÐa     B    ó Ÿ ~8- B'FHF 'E'C'* DD-,HE 'D,2&J) Amagats law for partial volume ¡8@(ÿ3þ(ÿ3þ!(ÿ3þªz     Ÿ ü ( 'D-,E 'DEHD'1J D'J :'2 EF 'D:'2'* GH 'D-,E 'D0J JECF DD:'2'F J4:DG 9F/ H,H/G DH-/G AJ H9'! E' *-* 6:7 H/1,) -1'1) E9JFJF ) ¡"Z~ªb #?ó Ÿ d9- B'FHF C1'G'E DD'F*4'1 Grahams law of diffusion ¡83,ÿ3þ,ÿ3þ,ÿ3þªF   Ÿ € (( 'F 9EDJ) 31J'F 'D:'2 EF EF7B) 'D6:7 'D9'DJ 'DI EF7B) 'D6:7 'DH'7I! .D'D -',2 E3'EJ 'H 'F(H() 6JB) 0'* B71 5:J1 ,/' ('D'F*4'1 (Diffusion ) . 'E' '0' C'F *-1C 'H31J'F 'D:'2 ( ,2J&'* 'D:'2 ) EF .D'D 'D+B( 'D5:J1 EF*8E' ,/' A*91A ('D'F/A'B 'H 'D'F(+'B ( Effusion )). HJ9/ EF 'D.H5 'DEEJ2) DD:'2 HB/ '3*F*, *HE'3 C1'G'E : 'F E9/D 'F/A'B 'D:'2'* J*F'3( 9C3J' E9 'D,01 'D*1(J9J DC+'A*G' 9F/ +(H* /1,) 'D-1') H'D6:7 . A'0' C'F ( V1, V2 ) JE+D'F E9/D 'D'F/A'B DD:'2JF ( 1 , 2 ) . H'F ( d1 , d2 ) GE' C+'A*' 'D:'2JF *-* FA3 'D81HA . 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8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*qŒDñ#'ñ =ñ%ñ(ñpDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*ŒÌ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*ŒÌDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*ŒÌDñ#'ñ =ñ%ñ(ñdDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Ì %ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*Ì Dñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*Ì Dñ#'ñ =ñ%ñ(ñXDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû* :%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû* :Dñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû* :+p+0+0 ++0+0 +îëï € 0ù@²L0 Fð>PððÖð( ð ððž ð S ð€Pf¿ÿCŒð­ ‡Žð<$ñ  0à  f ð žðH ð ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆ5Š-º___PPT10‹ ë.§ÍÊÐi7+¬nçƒDñ©'ñ Cfÿÿÿÿ=ñ @Bñ Dñd'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ›'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ#'ñ =ñ%ñ(ñDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*ÿÿÿÿÿÿÿÿ+8+0+0 +îçï€ 0ù@²L0 øððpððˆð( ð ððž ð S ð€ðÚf¿ÿBð€Üüòð<$ñ  0à f ð žðž ð S ð€ðÛf¿ÿCðMžŽð<$ñ  0à f ð žð ð £ ð<€dÝf‡¿ƒ¿ÀÿðM ìÇð,$ñ 0 ðdŸ V ¬ 1/ P ---------- (1) at constant Temp. V = const. × 1/ p -----------(2) PV = const. ---------------(3) P1 V1 = const. -----------(4) P2 V2 = const. -----------(5) P1 V1 = P2 V2 ------------(6) at const. Temp. ¡éª  Š Ô ðH ð ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆŠwº___PPT10‹Wë.§ÍÊ@Aæt+k…çDñƒ 'ñ áfÿÿÿÿ=ñ @Bñ Dñ> 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñu 'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ–'ñ =ñ%ñ(ñDñ>'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*ÿÿÿÿÿÿÿÿ%ñ(ñDñ¥'ñ ô=ñ-ñm6ñBñbox(in)*ñ<3ñ<ñû*ÿÿÿÿÿÿÿÿDñ–'ñ =ñ%ñ(ñôDñ>'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*%%ñ(ñDñ¥'ñ ô=ñ-ñm6ñBñbox(in)*ñ<3ñ<ñû*%Dñ–'ñ =ñ%ñ(ñèDñ>'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*%n%ñ(ñDñ¥'ñ ô=ñ-ñm6ñBñbox(in)*ñ<3ñ<ñû*%nDñ#'ñ =ñ%ñ(ñÜDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*ÿÿÿÿÿÿÿÿ+š+0+0 ++0+0 ++0+0 +îËï€ 0ù@²L0 `ðXð$ððð( ð ð$ðž ð$ S ð€|”¿ÿBðw‘±Mð<$ñ  0à ” ð žð2 ð$ ³ ðB€T÷Y…‡¿ƒ¿Àÿð@¯» Bð,$ñ  0 ðŒŸ ,V ¬ T -------------(1) at const. P V = const. × T --------------(2) V / T = const. ------------(3) V1 / T1 = const. ------------ (4) V2 / T2 = const. ------------ (5) V1 / T1 = V2 / T2 ----------(6) ¡ª  ŠÔ @ ˆ ðØ ð$ “ ð6€D”¿ƒ¿ÀÿðM'Yíð|$ñ  0ˆHŠ@º___PPT9‹"¬@ ðŽ( -,E CEJ) E9JF) EF 'D:'2 **F'3( 71/J' E9 /1,) 'D-1'1) 9F/ +(H* 'D6:7 )¡(HG  ªGðH ð$ ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆûŠóº___PPT10‹Óë.§ÍÊpà™+Ži^Dñÿ 'ñ ”ÿÿÿÿ=ñ @Bñ Dñº 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dññ 'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ#'ñ =ñ%ñ(ñDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*$ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*$ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*$ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*$ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*$ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*$ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñèDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*$ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*$ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*$ÿÿÿÿÿÿÿÿ+š+0+$0 ++0+$0 ++0+$0 +îeï€ 0ù@²L0 òðê°ð,ð‚ð( ð ð,ðž ð, S ð€4b”¿ÿBðÒ )Øð<$ñ 0à ” ð žðž ð, S ð€4c”¿ÿCð/ÌŽšð<$ñ 0à ” ð žðþ ð, ³ ðB€Œ¡f…‡¿ƒ¿Àÿðª úð,$ñ 0 ðXŸ P ¬ T --------------(1) at const. V P = const. × T -----------(2) P1 / T1 = const. ---------(3) P2 / T2 = const. ----------(4) P1 / T1 = P2 / T2 ------------(5) ¡ª  Š Ô ðH ð, ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆ Šû º___PPT10‹Û ë.§ÍÊð‘Ù­+ëÓc°Dñ 'ñ g”ÿÿÿÿ=ñ @Bñ Dñ 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñù 'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ°'ñ =ñ%ñ(ñDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*,ÿÿÿÿÿÿÿÿ%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*,ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*,I%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*,IDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*,IDñž'ñ =ñ%ñ(ñèDñF'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*,ÿÿÿÿÿÿÿÿ%ñ(ñDñ­'ñ è=ñ-ñu6ñBñdiamond(in)*ñ<3ñ<ñû*,ÿÿÿÿÿÿÿÿ+š+0+,0 ++0+,0 ++0+,0 +î,ï€ 0ù@²L0 $ðàð8ðŽð( ð ð8ðž ð8 S ð€xz”¿ÿBðwTt}ð<$ñ  0à ” ð žðr ð8 S ð€P{”¿ÿCðMž€Èðà ” ð žð\ ð8 £ ð<€T”‡¿ƒ¿Àÿð#ÌïYðˆ$ñ  0ˆTŠLº___PPT9‹.¬&@ ð`Ÿ ÂP1 V1 = P2 V2 ------------ (1) Boyles law V2 = P1V1/ P2 ---------- (2) V1 / T1 = V2 / T2 ----------(3) Charles law P1 V1 / T1 = P2 V2 / T2 ----------(4) Equation of state H(5H1) 9'E) JECF C*'() E9'/D) 'D-'D) P V / T = const. ----------(5) ¡D&!%"ª$ %" Š Ô ðH ð8 ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆ˜ А º___PPT10‹p ë.§ÍÊà6{Ì+ÃÀëDñÔ 'ñ |”ÿÿÿÿ=ñ @Bñ Dñ 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +DñÆ'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ#'ñ =ñ%ñ(ñDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*8ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*8ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*8ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*8ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*8ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*8ÿÿÿÿÿÿÿÿ+p+0+80 ++0+80 +îšï€ 0ù@²L0 ¢ðšð@ð2ð( ð ð@ðž ð@ S ð€Å ¿ÿBð€¡ªð<$ñ  0à Å  ð žðž ð@ S ð€Å ¿ÿCð'Ñ?ð<$ñ  0à Å  ð žð® ð@ £ ð<€šÒ”‡¿ƒ¿Àÿðõ “ ð,$ñ 0 🠶V ¬ n -----------(1) V / n = const. ------------(2) When (n) = No. of moles ¡Üܪ Ü Š Ô ðH ð@ ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆˆ Š€ º___PPT10‹` ë.§ÍÊÀlÃæ+ºqÓDñŒ 'ñ Å ÿÿÿÿ=ñ @Bñ DñG 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ~ 'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ#'ñ =ñ%ñ(ñDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*@ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*@ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*@ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*@e%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*@eDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*@eDñ°'ñ =ñ%ñ(ñèDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*@ÿÿÿÿÿÿÿÿ%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*@ÿÿÿÿÿÿÿÿ+š+0+@0 ++0+@0 ++0+@0 +î3ï€ 0ù@²L0 ž ð– ðHð. ð( ð ðHðž ðH S ð€H*Å ¿ÿBðÒ'G#ð<$ñ 0à Å  ð žðP  ðH ³ ðB€,+Å …‡¿ƒ¿Àÿð_ùÒYð $ñ  0ˆÖŠκ___PPT9‹°¬š@@@@@@ ðÌŸ V ¬ 1/ P --------(1) at const. ( n , T ) Boyles law V ¬ T ---------(2) at const. ( n , P ) Charles law V ¬ n -----------(3) at const. ( p ) Avogadro s law (E' 'F BJE) 'D-,E (V ) AJ 'D9D'B'* ( 1  2  3) J,( 'F **F'3( E9 -'5D 61( 'DE57D-'* 'D+D'+) D0DC A#F : V ¬ n × T / P ----------- (4) P . V ¬ n . T ------------(5) P .V = const. n .T ------------(6) P . V = n .R . T ----------(7) P = atm. V = lit. n = mol. T = Kº R = General constant of gases ¡ЊÙ    ;$$]((,,ê00ªÞÙ     %]   ã Š Ô ðH ðH ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆ% Š º___PPT10‹ýë.§ÍÊðþUû+·fC¥Dña'ñ .Å ÿÿÿÿ=ñ @Bñ Dñ'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +DñS'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ°'ñ =ñ%ñ(ñDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Hÿÿÿÿÿÿÿÿ%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*HÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Hÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*HÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*Hÿÿÿÿÿÿÿÿ+p+0+H0 ++0+H0 +îÀï€ 0ù@²L0 ¢ ðš @ðPð2 ð( ð ðPðú  ðP £ ð<€ônÅ ‡¿ƒ¿Àÿð_܇ð*$ñ 0ˆöŠîº___PPT9‹Ð¬È@@@@@@@@@@@@@@@@@@ ð\ Ÿ ,H-/'* 'D+'(* 'D9'E DD:'2'* (R )  9F/ 'D81HA 'DBJ'3J) JCHF 'D6:7 ( p = 1 atm. )  H/1,) 'D-1'1) ( T= 237.15K )  H-,E 'D:'2 'DE+'DJ ( V = 22.414 lit. )  H9// 'DEHD'* ( n = 1 mol. ) P . V = n .R . T R = P . V / n . T R = 1 atm. × 22.414 lit. / 1 mol. × 237.15 K R = 0.082 L. atm. mol.-1K-1 '3*.1, BJE) ( R ) (H-/'* : R = 1.98 Cal. mol.-1K-1 R = 8.314 J. mol.-1K-1 E+'D : :'2 E+'DJ 9F/ (25 C ) H6:7 ( 0.93 atm. ) J4:D -,E' EB/'1G (23.01 lit. ) 'H,/ : (1) 9// 'DEHD'* . (2) 'D-,E 'D0J J4:DG 'D:'2 9F/ 'D81HA 'DBJ'3J)  ¡ŸÐàç  " +   $$ ((,, 00 4488=<<¡   1   $$(( ,,004488<<0ª<  "   +       = D  1  &   1           0Š Ô ðH ðP ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™Ìˆ®ŠŠº___PPT10‹†ë.šÍÊ€<Í +nçS_Dñ"'ñ ”ÿÿÿÿ=ñ @Bñ DñÝ'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñœ'ñ =ñ%ñ(ñDñD'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Pÿÿÿÿÿÿÿÿ%ñ(ñDñ«'ñ ô=ñ-ñs6ñBñcircle(in)*ñ<3ñ<ñû*Pÿÿÿÿÿÿÿÿ+8+0+P0 +î›ï € 0ù@²L0 Z ðR pðXðê ð( ð ðXð€ ðX c ð$€äRÅ ¿ÿCŒð€P ”ð<$ñ  0à  Å  ð žð ðX £ ð<€XTÅ ‡¿ƒ¿Àÿð y…ð,$ñ 0 ðdŸšŠP . V = n .R . T -----------(1) d = w /v n = w / M.wt. P . V = w / M.wt . R . T --------(2) P . M.wt. = w/v . R . T -------------(3) P . M. wt. = d .R . T ------------(4) d = P . M.wt. / R . T ----------------(5) ¡‹‹ªŽ—    4    z    Š Ô ð‚ ðX ³ ðB€fÅ …‡¿ƒ¿Àÿð š < ðp$ñ  0ˆ<Š4º___PPT9‹¬@ 𘟠2'J,'/ B'FHF 'DH2F 'D,2J&J¡ “·ð(ÿ3þª Š Ô ðp ðX ³ ðB€PqÅ …‡¿ƒ¿ÀÿðÌ ðqÆð¢$ñ  0ˆnŠfº___PPT9‹H¬@@@ ðTŸ 4EF 'D9D'A) ( 2) : P . V = w / M.wt . R . T --------(2) M.wt. = w . R . T / P . V M.wt. = d . R . T / P ¡R*   ª˜    E  T  W Š Ô ðH ðX ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆÑŠÉº___PPT10‹©ë.šÍʐ‡œ'+Tʂ+Dñ'ñ ÄÅ ÿÿÿÿ=ñ @Bñ DñX'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ–'ñ =ñ%ñ(ñDñ>'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Xÿÿÿÿÿÿÿÿ%ñ(ñDñ¥'ñ ô=ñ-ñm6ñBñbox(in)*ñ<3ñ<ñû*XÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Xÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ0-#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*XÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*XÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñèDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Xÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*XÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*XÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñÜDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*Xÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_w/2BñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*XÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_yBñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*Xÿÿÿÿÿÿÿÿ+à+0+X0 ++0+X0 ++0+X0 ++0+X0 +îÄï€ 0ù@²L0 Œð„ð `ðð( ð ð`ðž ð` S ð€ÌÓÅ ¿ÿBð€¯ÏBð<$ñ  0à Å  ð žðž ð` S ð€ÌÔÅ ¿ÿCðžŽð<$ñ  0à Å  ð žð^ ð` “ ð6…‡¿ƒ¿Àÿð6€6ð2 ðl ðl4åN ð `ð4låNð,$ñD  0ð(Ò ð` ðw|OÄð(Ò ð`‚ ð=åðN ð ` £ ð<€ØÅ ‡¿ƒ¿Àÿð4å®  ðڟšZP1 . V = n1. R . T P1= n1 . R . T / V ---------(1) ¡>Z*Y ª [ Š Ô ð  ð ` ³ ðB€0ÜÅ …‡¿ƒ¿Àÿðl_ÛNð4ˆ,Š$º___PPT9‹¬þ@ ðJŸ ª P2 . V = n2 .R . T P2 = n2 . R . T ---------(2) PT = P1 + P2 ----------(3) PT = n1 . R . T / V + n2 . R . T -----------(4) PT = ( n1 + n2 ) R . T / V --------(5) H(B3E) 'D6:H7 'D,2&J) 9DI 'D6:7 'DCDJ F-5D 9DI : P1 / pT =( n1 .R . T / V ) / {( n1 + n2 ) . R . T / V } ------(6) P1 = (n1/ n1 + n2 ) . PT --------------(7) P1 = X1 . PT -------------(8) P2 = (n2/ n1 + n2 ) . PT -----------(9) P2 = X2 . PT -------------(10) When the ( X1 , X2 ) are the mole fraction for gas(1) & gas (2) ¡$¥± €" O"  R" "3"  I$"$(( P,",00 U4"488 P<"< S" A " ªFJ 2  Ñ Š Ô ðH ð` ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆÈ ŠÀ º___PPT10‹  ë.šÍÊ€Ž E+à¿ „Dñ 'ñ É ÿÿÿÿ=ñ @Bñ Dñ¿ 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñö 'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ¬'ñ =ñ%ñ(ñDñT'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*`ÿÿÿÿÿÿÿÿ%ñ(ñDñ»'ñ ô=ñ-ñƒ6ñBñ'barn(inHorizontal)*ñ<3ñ<ñû*`ÿÿÿÿÿÿÿÿDñ#'ñ =ñ%ñ(ñôDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*`K%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*`KDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*`KDñŸ'ñ =ñ%ñ(ñèDñG'ñ =ñ4@BñBñ Bñ°Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû* `ÿÿÿÿÿÿÿÿ%ñ(ñDñ»'ñ ô=ñ-ñƒ6ñBñ'barn(inHorizontal)*ñ<3ñ<ñû* `ÿÿÿÿÿÿÿÿ+p+0+`0 ++0+`0 +î`ï € 0ù@²L0 Fð>°ðhðÖð( ð ðhðž ðh S ð€=É ¿ÿCŒð­D&Ñð<$ñ 0à  É  ð žðH ðh ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆªŠ¢º___PPT10‹‚ë.šÍÊ€Ùdh+Vü)DDñ'ñ Ñ ÿÿÿÿ=ñ @Bñ DñÙ'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ˜'ñ =ñ%ñ(ñDñ@'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*hÿÿÿÿÿÿÿÿ%ñ(ñDñ§'ñ ô=ñ-ño6ñBñwheel(8)*ñ<3ñ<ñû*hÿÿÿÿÿÿÿÿ+8+0+h0 +îšï€ 0ù@²L0 åðÝàð pðuð( ð ðpðž ðp S ð€X9É ¿ÿBð€¯Ï_ð<$ñ 0à É  ð žðž ðp S ð€X:É ¿ÿCð§qâ"ð<$ñ 0à É  ð žð^ ð p “ ð6…‡¿ƒ¿Àÿð€ð‹ðl ðÌ"J ðpð"ÌJð,$ñD 0ð(Ò ð p ðžkv³ð(Ò ðp 𹻑ð(Ò ðp ðË £e ðH ð p ³ ðB€+É …‡¿ƒ¿ÀÿðÌ"ò¶ ðΟšL P . V1 = n1 . R . T V1 = n1 . R . T / P -----------(1) ¡@L*K" ª M Š Ô ðÍ ð p ³ ðB€ð¡Å …‡¿ƒ¿Àÿð÷`ùôðhˆ`ŠXº___PPT9‹:¬2@ ð㟚K P . V2 = n2 . R . T V2 = n2 . R . T / P -----------(2) ¡NK*"G"   ªI Š Ô ðZ  ð p ³ ðB€\£Å …‡¿ƒ¿ÀÿðÙØJð¶ˆ®ŠŠº___PPT9‹ˆ¬€@@@@@@ ð"Ÿ &P . V3 = n3 . R . T V3 = n3 . R . T / P -----------(3) VT = V1 + V2 + V3 ------------(4) VT = ( n1 + n2 + n3 ) R . T / P ----------(5) VT = nT ( R . T / P ) ------------(6) H(B3E) 'DE9'/D'* (1, 2,3) 9DI 'DE9'/D) ( 6) JF*, : V1 = ( n1 / nT ) VT V1 = X1 . VT ---------(7) V2 = ( n2 / nT ) VT V2 = X2 . VT ---------(8) V3 = ( n3 / nT ) VT V3 = X3 . VT ---------(9) H(5H1) 9'E) A'F : ( Vi = Xi . VT ) ¡®KI J" "  Q" M" S " $$ ("(,",0"04"48"8<"<"" "  L" J" J " $$ ("(,, 0"04"488ªò  M       I  I  L  Š Ô ðH ðp ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆE Š= º___PPT10‹ ë.šÍÊðò“n+õkÀDñ 'ñ É ÿÿÿÿ=ñ @Bñ Dñ< 'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñs'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñœ'ñ =ñ%ñ(ñDñD'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*pÿÿÿÿÿÿÿÿ%ñ(ñDñ«'ñ ô=ñ-ñs6ñBñcircle(in)*ñ<3ñ<ñû*pÿÿÿÿÿÿÿÿDñ°'ñ =ñ%ñ(ñôDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*p%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*pDñŸ'ñ =ñ%ñ(ñèDñG'ñ =ñ4@BñBñ Bñ °Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*pÿÿÿÿÿÿÿÿ%ñ(ñDñ»'ñ ô=ñ-ñƒ6ñBñ'blinds(horizontal)*ñ<3ñ<ñû*pÿÿÿÿÿÿÿÿ+p+0+p0 ++0+p0 +îaï€ 0ù@²L0 ìðäð|ð|ð( ð ð|ðž ð| S ð€sÉ ¿ÿBðҁ¡zð<$ñ  0à É  ð žðž ð| S ð€ìOÉ ¿ÿCðÕùYð<$ñ 0à É  ð žðH ð| ƒ ð0ƒ“ŽŸ‹”Þœh¿ÿ ?ð ÿÿÿ€€€»àã33™™™™ÌˆŠýº___PPT10‹Ýë.šÍÊàiõ‘+€ÙikDñA'ñ RÉ ÿÿÿÿ=ñ @Bñ Dñü'ñ –ÿÿÿÿ=ñ @BñAñ?%ñ,(ñ <ñ +O%ñ,(ñ <ñ +Dñ3'ñ =ñ%ñ(ñÿÿÿÿ%ñ(ñDñ#'ñ =ñ%ñ(ñDñË'ñ =ñA@BñBñ Bñ°Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|ÿÿÿÿÿÿÿÿ%ñ(ñDñ'ñ ô=ñ+ñÙ4ñ 8?ñ\CñBñ#ppt_xBñCñèBñ#ppt_xBñ*ñY3ñ>ñBñ ppt_x<ñû*|ÿÿÿÿÿÿÿÿDñ'ñ ô=ñ+ñá4ñ 8?ñdCñBñ1+#ppt_h/2BñCñèBñ#ppt_yBñ*ñY3ñ>ñBñ ppt_y<ñû*|ÿÿÿÿÿÿÿÿDñ°'ñ =ñ%ñ(ñôDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|’%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*|’Dñ°'ñ =ñ%ñ(ñèDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|“L%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*|“LDñ°'ñ =ñ%ñ(ñÜDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|M«%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*|M«Dñ°'ñ =ñ%ñ(ñÐDñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|«ñ%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*|«ñDñ°'ñ =ñ%ñ(ñÄ DñX'ñ =ñA@BñBñ Bñ °Bñ0Bñ%ñ(ñDñø'ñ =ñ1ñ :ñBñvisible*ño3ñ>ñ+Bñ#style.visibility<ñû*|ñA%ñ(ñDñ¿'ñ ô=ñ-ñ‡6ñBñ+checkerboard(across)*ñ<3ñ<ñû*|ñA+p+0+|0 ++0+|0 +îrï€ 0ù@²L0 ð0ð „ðšð( ð ð„ðpðl ð'¹î© ð„ð¹'î©ð,$ñD  0ð<B ð „‚ # ð Àÿð õè õð<B ð„‚ # ð Àÿðgââð<B ð„‚ # ð ÀÿðV³ð<B ð„‚ # ð Àÿðá| € ð† ð „ ³ ðB€äY…‡¿ƒ¿Àÿð'¹•@ðŒˆ„Š|º___PPT9‹^¬V@ ðxŸ z { V1 / V2 = " d2 / d1 } ----------------(1) EF B'FHF 'DC+'A) : d = P . M.wt. / R . T -----------(2) ¡œSj *""A""  U"ª>S    J ð² ð „ ³ ðB€yY…‡¿ƒ¿ÀÿðŠªë ð8Ÿ ” V1 / V2 = " ( P . M2 / R.T ) / ( P . M1/ R.T ) -----------(3) ¡tH * "";"  ª K ð ð „ ³ ðB€üPY…‡¿ƒ¿Àÿðp÷ÞŸ ðtˆlŠdº___PPT9‹F¬>@ ðŸ <{ V1 / V2 = " M2 / M1 } ----------------(4) 'J 'F 'D:'2 'D'.A JCHF '319 'F*4'1' EF 'D:'2 'D+BJD HGF'C 5J:) '.1I DDB'FHF : ¡ˆPN“ ·ð* ""@"M"  ª$P M Š  ð< ð „ £ ð<€€&Y‡¿ƒ¿Àÿð'o î©ð¶ˆ®ŠŠº___PPT9‹ˆ¬€@@@@ ð Ÿ lt2 / t1 =" d2 / d1 = " M2 / M1 -------------(5) -J+ ( t ) 'D2EF 'D'2E DE1H1 -,E E9JF EF 'D:'2 .D'D A*-) 'D'F(H() HJ*F'3( 9C3J' E9 E9/D 319) 'D'F/A'B 'H 'D'F*4'1 .¡ì? 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