Muenzaniso weMubvunzo weKukurukurirana pamusoro peReaction Rate
Mwero wekuita zvinhu (reaction rate) ipfungwa huru mukemikari ine basa rakakosha mumabasa akasiyana-siyana, ese ari maviri emuindasitiri uye ezuva nezuva. Muchinyorwa chino, tichatsanangura zvakadzama pfungwa yemwero wekuita zvinhu, tichipa mienzaniso nehurukuro dzakadzama kuti tive nechokwadi chekuti vaverengi vanonzwisisa zvakanaka.
Kunzwisisa Mwero weKupindura
Chiyero chemhinduro chinotsanangurwa sekuchinja kwehuwandu hwe reactant kana chigadzirwa panguva imwe neimwe. Muequation iri nyore, chiyero chemhinduro chinogona kunyorwa seizvi:
\[ \text{Reaction Rate} = \frac{\Delta \text{[Concentration]}}{\Delta t} \]
Kuwanda kwehuwandu hwezvinhu kunowanzo verengwa muzvikamu zvemamota pa litre (M) uye nguva inowanzo verengwa mumasekondi (s). Saka, mayuniti ehuwandu hwekuita kwechinhu anowanzova M/s.
Zvinhu Zvinokanganisa Kuwanda Kwemhinduro
Zvinotevera ndezvimwe zvinhu zvinopesvedzera mwero wekuita kwechirwere:
1. Kuwanda kweReactants: Kuwedzera kuwanda kwereactants kunowanzo kuwedzera mwero wereactants.
2. Tembiricha: Kuwedzera kwetembiricha kunowanzoita kuti kukurumidza kwekuita kwechinhu chimwe nechimwe.
3. Nzvimbo Yepamusoro: Nzvimbo yepamusoro inowanikwa yakawanda, uye kukurumidza kwekuita kwechinhu kunowedzera.
4. Catalyst: Catalysts inokurumidza kukurumidza kwekuita pasina kuchinja zvachose.
5. Kumanikidzwa: Pakuita kwegasi, kuwedzera kwekumanikidzwa kunowanzo wedzera mwero wekuita kwegasi.
Mibvunzo yemuenzaniso nekukurukurirana
Muenzaniso Mubvunzo 1
Kuita pakati pe sodium thiosulfate (Na2S2O3) ne hydrochloric acid (HCl) ndekwekuti:
\[ \text{Na}_2\text{S}_2\text{O}_3 + 2 \text{HCl} \rightarrow 2 \text{NaCl} + \text{S} + \text{SO}_2 + \text{H}_2\text{O} \]
Mukuyedza, huwandu hwe sodium thiosulfate hunochinja kubva pa 0,10 M kusvika pa 0,05 M mumasekonzi makumi matatu. Verenga avhareji yehuwandu hwemhinduro!
Kukurukurirana
Avhareji yehuwandu hwekuita zvinogona kuverengerwa uchishandisa fomura:
\[ \text{Reaction Rate} = -\frac{\Delta \text{[Na}_2\text{S}_2\text{O}_3\text{]}}{\Delta t} \]
Tsiva kukosha kwakapihwa mufomura:
\[ \Delta \text{[Na}_2\text{S}_2\text{O}_3\text{]} = 0,05 \text{M} – 0,10 \text{M} = -0,05 \text{M} \]
\[ \Delta t = 30 \text{s} \]
Saka,
\[ \text{Reaction Rate} = -\left(\frac{-0,05 \text{ M}}{30 \text{ s}}\right) = \frac{0,05 \text{ M}}{30 \text{ s}} = 0,00167 \text{ M/s} \]
Saka, avhareji yehuwandu hwemhinduro ndeye 0,00167 M/s.
Muenzaniso Mubvunzo 2
Mukuita, chiyero chemhinduro chinopiwa nechiyero cheequation:
\[ \text{Rate} = k [A]^m [B]^n \]
Kubva mukuyedza, data rinotevera rakawanikwa:
| Kuedza | [A] (M) | [B] (M) | Kuwanda kweKuita (M/s) |
|————–|————|————————-|
| 1 | 0.10 | 0.10 | 2.0 × 10^-3 |
| 2 | 0.20 | 0.10 | 8.0 × 10^-3 |
| 3 | 0.10 | 0.20 | 2.0 × 10^-3 |
Sarudza maerekitiro ekuita m na n uye verenga kukosha kwechiyero chisingachinji, k.
Kukurukurirana
Kusarudza Kurongeka kweKuita \( m \) uye \( n \):
1. Kubva muKuedza 1 ne2:
\[ \frac{\text{Rate}_2}{\text{Rate}_1} = \frac{k [A]_2^m [B]_2^n}{k [A]_1^m [B]_1^n} \]
\[ \frac{8.0 \times 10^{-3}}{2.0 \times 10^{-3}} = \frac{(0.20)^m (0.10)^n}{(0.10)^m (0.10)^n} \]
\[ 4 = (2)^m \]
Saka, \( m = 2 \).
2. Kubva muKuedza 1 ne3:
\[ \frac{\text{Rate}_3}{\text{Rate}_1} = \frac{k [A]_3^m [B]_3^n}{k [A]_1^m [B]_1^n} \]
\[ \frac{2.0 \times 10^{-3}}{2.0 \times 10^{-3}} = \frac{(0.10)^m (0.20)^n}{(0.10)^m (0.10)^n} \]
\[ 1 = (2)^n \]
Saka, \( n = 0 \).
Saka, kurongeka kwemhinduro maererano naA ndi2 uye maererano naB ndi0.
Kuverenga Mutengo Unogara Uchikosha \( k \):
Kushandisa data kubva mukuyedza 1:
\[ \text{Rate} = k [A]^m [B]^n \]
\[ 2.0 \kawa 10^{-3} = k (0.10)^2 (0.10)^0 \]
\[ 2.0 \kawa 10^{-3} = k (0.01) \]
\[ k = \frac{2.0 \kawa 10^{-3}}{0.01} \]
\[k = 0.20 \]
Saka, chiyero chisingachinji \( k \) i0.20 M^{-1} s^{-1}.
Muenzaniso Mubvunzo 3
Maitiro emakemikari anotevera maitiro anotevera:
\[ \text{Reaction 1: } \text{A} \rightarrow \text{B} \quad (k_1 = 1.0 \, \text{s}^{-1}) \]
\[ \text{Reaction 2: } \text{B} \rightarrow \text{C} \quad (k_2 = 0.1 \, \text{s}^{-1}) \]
Kana pakutanga huwandu hweA huri 1 M uye B huri 0, tsvaga huwandu hweA naB mushure memasekonzi mashanu.
Kukurukurirana
Tichishandisa mutemo wehuwandu hwemhinduro, tine:
Mhinduro 1: A kusvika B
\[ [A] = [A]_0 e^{-k_1 t} \]
\[ [A] = 1 \text{ M} \times e^{-1.0 \text{ s}^{-1} \times 5 \text{ s}} \]
\[ [A] = e^{-5} \chinyorwa{ M} \]
Mhinduro 2: B kusvika C
\[ \frac{d[B]}{dt} = k_1 [A] – k_2 [B] \]
\[ \frac{d[B]}{dt} = 1.0 \text{s}^{-1} \times [A] – 0.1 \text{s}^{-1} \times [B] \]
Kushandisa mhinduro yekuongorora kana yenhamba yeiyi differential equation (kazhinji nzira yeEuler kana Runge-Kutta):
\[ [B] \inenge 0.316 \chinyorwa{ M} \]
Saka, mushure memasekonzi mashanu, huwandu hweA hunenge \( e^{-5} \text{ M} \) uye huwandu hweB hunenge 0.316 M.
Mhedziso
Mwero wekuita zvinhu (reaction rate) inyaya inokosha mukemikari, ichiratidza mwero wekuchinja kwehuwandu hwezvinhu zvinoitwa nezvinhu (reactants) kuita zvigadzirwa. Mumuenzaniso wemibvunzo iri pamusoro apa, takakurukura maverengero ehuwandu hwezvinhu zvinoitwa nezvinhu (reaction rate), kuona kurongeka kwezvinoitwa, uye kuverenga mwero wekuita zvinhu (reaction rate constant). Kunzwisisa pfungwa idzi kunotibvumira kudzishandisa mumamiriro akasiyana-siyana anoshanda, murabhoritari nemumaindasitiri.
