Бір молекулалық адсорбцияның изотермалық сызбасының түрі, мына суреттегідей :
Ондағы қисықты шартты түрде 3 бөлікке бөлуге болады. Оның бірінші (1) және үшінші (3)бөлігі тура, түзу сызықты да олардың арасы (2) қисықты сызық. Бұған басты себеп, әуелгі кездегі (бірінші бөлік ), адсорбент беті толмаған, бос және адсорбцияланатын молекулалар арсында бәсеке жоқ, ал келесі бөлікте (2) бұл керісінше. Үшіншіде (3) адсорбция өзінің шегіне жеткен, онда бос орын жоқ және ол өзгеріссіз қалғандықтан түзу сызықты. Демек Ленгмюр теңдеуі (1) изотермадағы үш бөлікті де жақсы мазмұндап, түсіндіреді екен. Тепе-теңдіктегі концентрация аз болған кезде, теңдеу басқаша өрнектеуге болады:
(2)
Ал, егер тепе-теңдік концентрациясы үлкен, яғни ВС˃>1 болса, теңдеу өзгереді:
(3)
Адсорбцияны, тәжірибе кезінде алынған мәліметтерге сүйеен отырып, яғни адсорбтив концентрациясының адсорбцияға дейінгі және одан кейінгі мәндерінің айырмасын, адсорбент санына, ерітінді мөлшеріне қатынастырып есептейді: ![](data:image/png;base64,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) (4)
мұндағы V-ерітінді көлемі, мл; m-адсорбент саны (салмағы), г; С1-адсорбтивтің адсорбцияға дейінгі концентрациясы, С2-адсорбтивтің адсорбциядан кейінгі таралымы. Қолданылмалық жағдайда, яғни тәжірибе кезінде шеткі адсорбция өз мәніне көбінесе жете бермейді.Сондықтан да оны талдау тәсілі арқылы табады.Ол үшін Ленгмюр теңдеуін (1) түзу сызықты теңдеуіне келтіреді:
(5)
Тәжірибе кезінде алынған мәліметтерден 1/А мен 1/С2 мәнін тауып, суреттегідей сызбаға 1/А = f(1/C2) тәуелділікте түзу тұрғызады. Мұнда С2 адсорбциядан кейінгі тепе-теңдіктік таралым екенін жоғарыда айтылған.Ординат өсін көлбеу түзудің қиған бөлігі шекті адсорбцияға (А∞,моль/г) тең, ал осы көлбеудің абцисс өсімен құратын бұрышы 1:А∞В тең және одан тұрақты В-ның шамасын табады. Адсорбенттің маңызды сипаттамаларының бірі, оның меншікті беткі қабаты және оны, егер шекті адсорбция (А∞)мәні болса , оңай есептеуге болады.
(6)
мұндағы NA – Авагадро саны, S0 –адсорбцияланған заттың бір молекуласы орналасқан аудан-16А, Sмен= меншікті аудан м2/г.
Достарыңызбен бөлісу: |