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“ñŽŸ”½‰ž‚ͤ”½‰ž‘¬“x‚ª1‚‚̔½‰ž•¨‚Ì”Z“x‚Ì2æ‚É”ä—á‚·‚é‚©¤2‚‚̔½‰ž•¨‚Ì”Z“x‚̐ςɔä—á‚·‚锽‰ž‚Å‚ ‚é¡”½‰ž‘¬“x‚͈ȉº‚ÌŽ®‚Å—^‚¦‚ç‚ê‚é¡

  d [ A ] d t = k [ A ] 2 {\displaystyle \ -{\frac {d[{{\ce {A}}}]}{dt}}=k[{{\ce {A}}}]^{2}} ‚Ü‚½‚Í

  d [ A ] d t = k [ A ] [ B ] {\displaystyle \ -{\frac {d[{{\ce {A}}}]}{dt}}=k[{{\ce {A}}}][{{\ce {B}}}]} ‚Ü‚½‚Í

  d [ A ] d t = 2 k [ A ] 2 {\displaystyle \ -{\frac {d[{{\ce {A}}}]}{dt}}=2k[{{\ce {A}}}]^{2}} ÅŒã‚ÌŽ®‚Í”½‰ž•¨A‚ÉŠÖ‚·‚锽‰ž‘¬“x‚Ì’è‹`Ž®‚©‚瓱‚©‚ê‚é¡
‚Æ‚¢‚¤”½‰ž‚ɂ‚¢‚čl‚¦‚Ă݂悤¡

”½‰ž‘¬“x‚Ì’è‹`‚©‚礓ñŽŸ”½‰ž‚É”½‰ž•¨‚ª1‚‚µ‚©ŠÖ‚í‚Á‚Ä‚¢‚È‚¢‚Æ‚¢‚¤‚±‚Æ‚ÍA¤B‚Ì”Z“x‚ðŽžŠÔ‚ÌŠÖ”‚Æ‚µ‚½‚Æ‚«¤‚ ‚鎞‚Å‚Ì[B]‚Ì”÷•ªŒW”‚Í[A]‚Ì”÷•ªŒW”‚Ì-1/2”{‚Æ‚È‚é¡‚±‚ê‚ͤB‚ª1•ªŽq¶¬‚·‚邽‚Ñ‚ÉA‚ª2•ªŽqÁ–Å‚·‚é‚©‚ç‚Å‚ ‚é¡‚µ‚½‚ª‚Á‚ĤA‚ªÁ–Å‚·‚鑬‚³‚ÍB‚ª¶¬‚·‚鑬‚³‚Ì2”{‚Å‚ ‚é¡

  1 2 d [ A ] d t = d [ B ] d t {\displaystyle \ -{\frac {1}{2}}{\frac {d[{{\ce {A}}}]}{dt}}={\frac {d[{{\ce {B}}}]}{dt}}} ”½‰ž‘¬“x‚Æ”Z“x‚ÌŠÖŒW‚ð•\‚·”½‰ž‘¬“xŽ®‚Ì’è‹`‚ðl‚¦‚é‚Ƥ‚Æ‚¢‚¦‚é¡‚à‚µ2‚‚̎®‚ª“¯’l‚Å‚ ‚é‚Æ‚·‚é‚Ƥ

  d [ A ] d t = 2 k [ A ] 2 {\displaystyle \ -{\frac {d[{{\ce {A}}}]}{dt}}=2k[{{\ce {A}}}]^{2}} ‚Æ‚È‚é¡

‚µ‚½‚ª‚Á‚Ĥ[A]‚ÌŽžŠÔ”÷•ª‚É‚¨‚¯‚é”÷•ªŒW”‚ÍA‚̏Á–Å‘¬“x‚𓾂邽‚ß‚É‚Í”¼•ª‚É‚µ‚È‚¯‚ê‚΂Ȃç‚È‚¢¡

Ï•ªŒ`“ñŽŸ”½‰ž‘¬“xŽ®‚͈ȉº‚̂悤‚É•\‚³‚ê‚é¡

1 [ A ] = 1 [ A ] 0 + kt {\displaystyle {\ce {{\frac {1}{[A]}}={\frac {1}{[A]_{0}}}+{\mathit {kt}}}}} ‚Ü‚½‚Í

[ A ] [ B ] = [ A ] 0 [ B ] 0 e ( [ A ] 0 [ B ] 0 ) kt {\displaystyle {\ce {{\frac {[A]}{[B]}}={\frac {[A]_{0}}{[B]_{0}}}{\mathit {e}}^{([A]_{0}-[B]_{0}){\mathit {kt}}}}}} [A]0‚Æ[B]0‚Í•K‚¸ˆÙ‚È‚é’l‚Å‚ ‚é¡

“ñŽŸ”½‰ž‚Ì”¼Œ¸Šú‚ð•\‚·Ž®‚ͤ”Z“x‚Ì2æ‚ª”½‰ž‘¬“x‚ɉe‹¿‚·‚锽‰ž•¨‚Ì”Z“x‚Ɉˑ¶‚µ¤ŽŸ‚̂悤‚É•\‚³‚ê‚é¡‚±‚̂悤‚È”½‰ž‚łͤ”½‰ž•¨‚Ì”Z“x‚ª‰Šú”Z“x‚Ì”¼•ª‚É‚È‚é‚Ƥ‚»‚ÌŽŸ‚Ì”¼Œ¸Šú‚Í2”{‚É‚È‚é¡

ãŽ®‚Ì‚»‚Ì‚Ù‚©‚Ì•\Œ»•û–@‚Æ‚µ‚Ĥ—¼•Ó‚ÌŽ©‘R‘ΐ”‚ð‚Ƃ邱‚Æ‚ª‚ ‚é¡

ln r = ln k + 2 ln [ A ] {\displaystyle \ln {}r=\ln {}k+2\ln \left[{{\ce {A}}}\right]}
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