Mafunso ndi Zokambirana Zitsanzo Pogwiritsa Ntchito Zofanana mu Mawerengedwe
Pendauluan
Chemistry ndi kuphunzira zinthu ndi kusintha komwe kumachitika m'zinthu zimenezo. Lingaliro limodzi lofunika mu chemistry ndi chemical equilibrium, komwe chemical reaction imafika pamalo pomwe liwiro la forward reaction limafanana ndi liwiro la reverse reaction. Mu chemical equilibrium, kuchuluka kwa reactants ndi zinthu sikusintha pakapita nthawi. Lingaliroli limayendetsedwa ndi equilibrium constant (K), yomwe ndi mtengo wokhazikika pa kutentha kwina ndipo ndi yofanana ndi kuchuluka kwa zigawo zomwe zili mu reaction. Nkhaniyi ikambirana zitsanzo ndi zokambirana pogwiritsa ntchito equilibrium constant pakuwerengera.
Kufanana Konse, K
Nthawi zambiri, equilibrium constant imafotokozedwa m'njira ziwiri zazikulu, zomwe ndi Kc ndi Kp. Kc ndi equilibrium constant yochokera pa kuchuluka kwa molar, pomwe Kp ndi equilibrium constant yochokera pa kupanikizika pang'ono kwa mpweya.
Fomula ya Kc:
Kuti muyankhe:
\[ aA + bB \leftrightarrow cC + dD \]
Chilinganizo chokhazikika chokhazikika potengera kuchuluka kwa shuga chimaperekedwa ndi:
\[ Kc = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]
Fomula ya Kp:
Ponena za momwe mpweya umayendera:
\[ aA(g) + bB(g) \leftrightarrow cC(g) + dD(g) \]
Chilinganizo chokhazikika chokhazikika pa kupsinjika pang'ono chimaperekedwa ndi:
\[ Kp = \frac{(P_C)^c (P_D)^d}{(P_A)^a (P_B)^b} \]
Zikudziwika kuti pakati pa Kp ndi Kc pali ubale wotsatira:
\[ Kp = Kc (RT)^{\Delta n} \]
Kumene:
– \( R \) ndiye mpweya wosasinthika (0.0821 L atm K⁻¹ mol⁻¹),
– \( T \) ndi kutentha kwa Kelvin,
– \( \Delta n \) ndi kusintha kwa chiwerengero cha ma moles a mpweya (c+dab).
Mafunso ndi Kukambirana Zitsanzo
Chitsanzo Funso 1: Kuwerengera kwa Kc
Funso: Pa kutentha kwina, nthawi yofanana ya reaction yotsatirayi ndi 4,0:
\[ 2NO_2 \leftrightarrow N_2O_4 \]
Ngati pa equilibrium, kuchuluka kwa \( [NO_2] \) ndi 0,6 M, werengerani kuchuluka kwa \( [N_2O_4] \) pa equilibrium imeneyo.
Kukambirana:
Ndizodziwika kuti:
– \( Kc = 4,0 \)
– \( [NO_2] = 0,6 M \)
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ Kc = \frac{[N_2O_4]}{[NO_2]^2} \]
M'malo mwa mfundo zodziwika bwino:
\[ 4,0 = \frac{[N_2O_4]}{(0,6)^2} \]
Kotero:
\[ 4,0 = \frac{[N_2O_4]}{0,36} \]
\[ [N_2O_4] = 4,0 \nthawi 0,36 \]
\[ [N_2O_4] = 1,44 \, M \]
Motero, kuchuluka kwa \( [N_2O_4] \) pa equilibrium ndi 1,44 M.
Chitsanzo Funso 2: Kusintha Kc kukhala Kp
Funso: Poganizira momwe zinthu zinayendera:
\[ N_2(g) + 3H_2(g) \kumanzerekumanja 2NH_3(g) \]
Pa 500 K, chilinganizo cha equilibrium Kc ndi 0,278. Werengani Kp kuti mudziwe zomwe zimachitika pa kutentha kumeneko.
Kukambirana:
Ubale pakati pa Kc ndi Kp umaperekedwa ndi equation:
\[ Kp = Kc (RT)^{\Delta n} \]
Ndizodziwika kuti:
– \( Kc = 0,278 \)
– \( R = 0.0821 \, L atm K^{-1} mol^{-1} \)
– \( T = 500 \, K \)
– \( \Delta n = (2 – (1 + 3)) = -2 \)
Kotero, kusintha kwa mfundo:
\[ Kp = 0,278 \times (0.0821 \times 500)^{-2} \]
\[ Kp = 0.278 \times (41.05)^{-2} \]
\[ Kp = 0.278 \times (1 / 1683.0025) \]
\[ Kp = 0.278 \nthawi 0.000594 \]
\[ Kp = 0.000165 \]
Chifukwa chake, \( Kp \) ya reaction pa 500 K ndi 0.000165.
Chitsanzo 3: Kugwiritsa Ntchito Kp mu Kuwerengera kwa Kupanikizika Kochepa
Funso: Pa zotsatira za mpweya wotsatira:
\[ H_2(g) + I_2(g) \leftright arrow 2HI(g) \]
Popeza Kp pa 450 K ndi 50. Ngati \( P_{H_2} = P_{I_2} = 0,2 \, atm \), werengerani kupanikizika pang'ono kwa HI pamlingo woyenera.
Kukambirana:
Ndizodziwika kuti:
– \( Kp = 50 \)
– \( P_{H_2} = 0,2 \, atm \)
– \( P_{I_2} = 0,2 \, atm \)
Fomula yokhazikika yofanana ya izi ndi iyi:
\[ Kp = \frac{(P_{HI})^2}{P_{H_2} \times P_{I_2}} \]
M'malo mwa mfundo zodziwika bwino:
\[ 50 = \frac{(P_{HI})^2}{0,2 \times 0,2} \]
\[ 50 = \frac{(P_{HI})^2}{0.04} \]
Kotero:
\[ (P_{HI})^2 = 50 \nthawi 0,04 \]
\[ (P_{HI})^2 = 2 \]
\[ P_{HI} = \sqrt{2} \]
\[ P_{HI} \pafupifupi 1,414 \, atm \]
Choncho, kupanikizika pang'ono kwa HI pamlingo woyenera ndi pafupifupi 1,414 atm.
Mapeto
Kumvetsetsa lingaliro la zinthu zokhazikika komanso kutha kuzigwiritsa ntchito powerengera mankhwala ndikofunikira kwambiri kwa ophunzira omwe amaphunzira za chemistry yapamwamba. Nkhaniyi ikupereka zitsanzo zingapo za mavuto ndi kukambirana kwathunthu za kugwiritsa ntchito zinthu zokhazikika Kc ndi Kp pansi pa mikhalidwe yosiyanasiyana. Kumvetsetsa bwino nkhaniyi kungathandize kuthetsa mavuto okhudzana ndi momwe zinthu zimayendera mogwirizana ndi mankhwala.
