Mafunso ndi Zitsanzo za Equilibrium Constants
Pendauluan
Nkhaniyi ikambirana ndikupereka zitsanzo za mavuto okhudzana ndi mgwirizano wa equilibrium, lingaliro lofunika kwambiri mu chemistry. Mgwirizano wa equilibrium (K) ndi gawo lomwe limafotokoza malo a mgwirizano wa mankhwala pansi pa mikhalidwe ina. K imagwiritsidwa ntchito kumvetsetsa momwe mgwirizano umapitira patsogolo usanafike mgwirizano. Pamene mgwirizano ufika pa mgwirizano, kuchuluka kwa zochitika zamtsogolo ndi zobwerera kumakhala kofanana, kotero kuchuluka kwa zinthu zomwe zimayambitsa ma reactants ndi zinthu kumakhalabe kofanana. Nkhaniyi ikuphatikizapo tanthauzo, fomula, ndi zitsanzo za mavuto zomwe zingakuthandizeni kumvetsetsa bwino mgwirizano wa equilibrium.
Tanthauzo la Kufanana Konse
Chilinganizo cha equilibrium ndi mtengo womwe umasonyeza chiŵerengero cha kuchuluka kwa zinthu ndi kuchuluka kwa ma reactants pa equilibrium. Equation yonse ya chilinganizo cha equilibrium ndi iyi:
\[ K_c = \frac{[\text{Product}]^\text{coefficient}}{[\text{Reagent}]^\text{coefficient}} \]
kumene \(K_c\) ndi chinthu chosasintha mu kuchuluka kwa zinthu (mol/L), pomwe zinthu ndi zinthu zomwe zimayambitsa zinthu ndi kuchuluka kwa zinthu zomwe zimakhudzidwa ndi kuchitapo kanthu pa kuchuluka kwa zinthu.
Fomula Yokhazikika Yofanana
Kuti mudziwe zambiri zokhudza momwe zinthu zilili:
\[ aA + bB \leftrightarrow cC + dD \]
Fomula ya equilibrium constant ndi iyi:
\[ K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]
Mafunso ndi Kukambirana Zitsanzo
Chitsanzo cha Funso 1:
Zotsatirazi zimachitika mofanana pa kutentha kwina:
\[ 2NO_2 (g) \kumanzerekumanja N_2O_4 (g) \]
Zimadziwika kuti pa equilibrium kuchuluka kwa \(NO_2\) ndi 0,5 M ndipo kuchuluka kwa \(N_2O_4\) ndi 0,2 M. Dziwani nthawi yofanana, \(K_c\), ya reaction iyi.
Kukambirana:
Kutengera ndi zomwe zaperekedwa:
\[ 2NO_2 (g) \kumanzerekumanja N_2O_4 (g) \]
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ K_c = \frac{[N_2O_4]}{[NO_2]^2} \]
Kulowetsa mfundo zodziwika bwino:
\[ K_c = \frac{0,2}{(0,5)^2} = \frac{0,2}{0,25} = 0,8 \]
Kotero, nthawi yokhazikika ndi \(K_c = 0,8\).
Chitsanzo cha Funso 2:
Mu yankho lotsatira:
\[ H_2 (g) + I_2 (g) \leftright arrow 2HI (g) \]
Ngati pa equilibrium, kuchuluka kwa \(H_2\) ndi 0,1 M, kuchuluka kwa \(I_2\) ndi 0,1 M ndipo kuchuluka kwa \(HI\) ndi 0,4 M, werengani equilibrium constant, \(K_c\), ya reaction iyi.
Kukambirana:
Kutengera ndi zomwe zaperekedwa:
\[ H_2 (g) + I_2 (g) \leftright arrow 2HI (g) \]
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ K_c = \frac{[HI]^2}{[H_2][I_2]} \]
Kulowetsa mfundo zodziwika bwino:
\[ K_c = \frac{(0,4)^2}{(0,1)(0,1)} = \frac{0,16}{0,01} = 16 \]
Kotero, nthawi yokhazikika ndi \(K_c = 16\).
Chitsanzo cha Funso 3:
Zotsatirazi zimachitika mofanana pa kutentha kwina:
\[ 2SO_2 (g) + O_2 (g) \leftright arrow 2SO_3 (g) \]
Ngati pa equilibrium, kuchuluka kwa \(SO_2\) ndi 0,3 M, kuchuluka kwa \(O_2\) ndi 0,2 M ndipo kuchuluka kwa \(SO_3\) ndi 0,5 M, werengani equilibrium constant, \(K_c\), ya reaction iyi.
Kukambirana:
Kutengera ndi zomwe zaperekedwa:
\[ 2SO_2 (g) + O_2 (g) \leftright arrow 2SO_3 (g) \]
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ K_c = \frac{[SO_3]^2}{[SO_2]^2[O_2]} \]
Kulowetsa mfundo zodziwika bwino:
\[ K_c = \frac{(0,5)^2}{(0,3)^2(0,2)} = \frac{0,25}{0,09 \times 0,2} = \frac{0,25}{0,018} = 13.89 \]
Kotero, nthawi yokhazikika ndi \(K_c = 13,89\).
Chitsanzo cha Funso 4:
Mu yankho lotsatira:
\[ N_2 (g) + 3H_2 (g) \kumanzerekumanja 2NH_3 (g) \]
Ngati, mosiyana, kuchuluka kwa \(N_2\) kuli 0,3 M, kuchuluka kwa \(H_2\) ndi 0,4 M ndipo kuchuluka kwa \(NH_3\) ndi 1,2 M, werengani nthawi yofanana, \(K_c\), ya izi.
Kukambirana:
Kutengera ndi zomwe zaperekedwa:
\[ N_2 (g) + 3H_2 (g) \kumanzerekumanja 2NH_3 (g) \]
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ K_c = \frac{[NH_3]^2}{[N_2][H_2]^3} \]
Kulowetsa mfundo zodziwika bwino:
\[ K_c = \frac{(1,2)^2}{(0,3)(0,4)^3} = \frac{1,44}{(0,3)(0,064)} = \frac{1,44}{0,0192} = 75 \]
Kotero, nthawi yokhazikika ndi \(K_c = 75\).
Kutseka
Chigwirizano cha equilibrium ndi lingaliro lofunika kwambiri mu chemistry lomwe limatithandiza kumvetsetsa momwe zochita za mankhwala zimafikira ku mgwirizano ndi momwe kuchuluka kwa zinthu zomwe zimagwirira ntchito ndi zinthu kumakhudzira malo a mgwirizano. Pomvetsetsa zitsanzo ndi zokambirana zomwe zili pamwambapa, tikuyembekeza kuti owerenga adzakhala ndi chithunzi chomveka bwino ndikutha kuthetsa mavuto okhudza mgwirizano wa equilibrium ndi chidaliro chachikulu.
Kudziwa za mgwirizano wa equilibrium ndikofunikira osati m'malingaliro okha komanso m'magwiritsidwe ntchito m'magawo osiyanasiyana monga makampani opanga mankhwala, mankhwala, ndi kafukufuku wasayansi. Chifukwa chake, kumvetsetsa bwino lingaliro ili ndikofunikira kwa aliyense amene akuphunzira kapena kugwira ntchito ndi machitidwe a mankhwala.
