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氧化還原反應(yīng)方程式配平2

2022-01-29 12:26 作者:匆匆-cc  | 我要投稿

氧化還原專題2

????????先吐槽一句了。。。

????????碼字實在不易。

????????上篇可見鏈接。

? ? 例7.(A Little?Trick)配平

%5Cce%7BMnO4-%7D%2B%5Cce%7BH%2B%7D%2B%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D%20%5Cce%7BMn%5E2%2B%7D%2B%5Cce%7BO2%20%5E%7D%2B%5Cce%7BH2O%7D

解:

%5Cce%7B%5Coverset%7Bv%205%7D%7BMn%7DO4-%7D%2B%5Cce%7BH%2B%7D%2B%5Cce%7BH2%5Coverset%7B%5E%201%5Ctimes%202%7D%7BO%7D%7B%7D_2%7D%5Cxlongequal%7B%5Cquad%7D%20%5Cce%7BMn%5E2%2B%7D%2B%5Cce%7BO2%20%5E%7D%2B%5Cce%7BH2O%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7Bv%205%5Ctimes%202%7D%7BMn%7DO4-%7D%2B%5Cce%7BH%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BH2%5Coverset%7B%5E%20(1%5Ctimes%202)%5Ctimes%205%7D%7BO%7D%7B%7D_2%7D%5Cxlongequal%7B%5Cquad%7D%20%5Cce%7BMn%5E2%2B%7D%2B%5Cce%7BO2%20%5E%7D%2B%5Cce%7BH2O%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7Bv%205%5Ctimes%202%7D%7BMn%7DO4-%7D%2B%5Cce%7BH%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BH2%5Coverset%7B%5E%20(1%5Ctimes%202)%5Ctimes%205%7D%7BO%7D%7B%7D_2%7D%5Cxlongequal%7B%5Cquad%7D%20%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BMn%5E2%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BO2%20%5E%7D%2B%5Cce%7BH2O%7D

%5Cunderbrace%7B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7Bv%205%5Ctimes%202%7D%7BMn%7DO4-%7D%2B%5Ccolor%7Bskyblue%7D%7B%5Ctextbf%7B6%7D%7D%5Cce%7BH%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BH2%5Coverset%7B%5E%20(1%5Ctimes%202)%5Ctimes%205%7D%7BO%7D%7B%7D_2%7D%7D_%7B-4e%5E-%7D%5Cxlongequal%7B%5Cquad%7D%20%5Cunderbrace%7B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BMn%5E2%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BO2%20%5E%7D%2B%5Cce%7BH2O%7D%7D_%7B-4e%5E-%7D

%5Cunderbrace%7B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7Bv%205%5Ctimes%202%7D%7BMn%7DO4-%7D%2B%5Ccolor%7Bskyblue%7D%7B%5Ctextbf%7B6%7D%7D%5Cce%7BH%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BH2%5Coverset%7B%5E%20(1%5Ctimes%202)%5Ctimes%205%7D%7BO%7D%7B%7D_2%7D%7D_%7B-4e%5E-%7D%5Cxlongequal%7B%5Cquad%7D%20%5Cunderbrace%7B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BMn%5E2%2B%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B5%7D%7D%5Cce%7BO2%20%5E%7D%2B%5Ccolor%7Bgreen%7D%7B%5Ctextbf%7B8%7D%7D%5Cce%7BH2O%7D%7D_%7B-4e%5E-%7D

2%5Cce%7BMnO4-%7D%2B6%5Cce%7BH%2B%7D%2B5%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D%202%5Cce%7BMn%5E2%2B%7D%2B5%5Cce%7BO2%20%5E%7D%2B8%5Cce%7BH2O%7D

????????貌似一切順利,無甚問題。

????????但不妨看一下幾個方程式,諸位請品鑒。

2%5Cce%7BMnO4-%7D%2B6%5Cce%7BH%2B%7D%2B3%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D%202%5Cce%7BMn%5E2%2B%7D%2B4%5Cce%7BO2%20%5E%7D%2B6%5Cce%7BH2O%7D

2%5Cce%7BMnO4-%7D%2B6%5Cce%7BH%2B%7D%2B%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D%202%5Cce%7BMn%5E2%2B%7D%2B3%5Cce%7BO2%20%5E%7D%2B4%5Cce%7BH2O%7D

????????Q:配平了嗎?

????????乍一看,配平了。

????????實際上,違背了得失電子守恒。

????? ? 在這里,重新提出真正配平的定義。

????????滿足元素守恒、電荷守恒得失電子守恒三大基本規(guī)律。

????????從某種意義上,后兩條是初中化學(xué)所忽視的,所以說高中化學(xué)才是化學(xué)真正的濫觴。

????????筆者初學(xué)配平時曾對此題無能為力,原因正在于:

2%5Cce%7BMnO4-%7D%2B6%5Cce%7BH%2B%7D%2B5%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D%202%5Cce%7BMn%5E2%2B%7D%2B5%5Cce%7BO2%20%5E%7D%2B8%5Cce%7BH2O%7D%5Ctag%7B1%7D

2%5Cce%7BH2O2%7D%5Cxlongequal%7B%5Cquad%7D2%5Cce%7BH2O%7D%2B%5Cce%7BO2%20%5E%7D%20%5Ctag%7B2%7D

????????兩式可任意比疊加不影響元素守恒。

????????說到這里,不妨提一筆針對元素守恒的奇妙(fei wu)方法。

????例8.(元素守恒法)配平

%5Cce%7BKNO3%7D%2B%5Cce%7BC%7D%2B%5Cce%7BS%7D%20%5Cxlongequal%7B%E7%82%B9%E7%87%83%7D%5Cce%7BK2S%7D%2B%5Cce%7BNO2%7B%7D%5E%7D%2B%5Cce%7BCO2%7B%7D%5E%7D

解:

????????定%5Cce%7BKNO3%7D的系數(shù)為1,剩余項的系數(shù)為a%2Cb%2Cc%2Cd%2Ce

????? ? 根據(jù)元素守恒,我們有

%5Cbegin%7Bcases%7D%0A1%3D2c%0A%5C%5C1%3Dd%0A%5C%5C3%3D2d%2B2e%0A%5C%5Ca%3De%0A%5C%5Cb%3Dc%0A%5Cend%7Bcases%7D

????????解得

%5Cbegin%7Bcases%7D%0Aa%3Db%3Dc%3De%3D%5Cfrac%7B1%7D%7B2%7D%0A%5C%5Cd%3D1%0A%5Cend%7Bcases%7D

????????化作整系數(shù),得

%5Cbegin%7Bcases%7D%0Aa%3Db%3Dc%3De%3D1%0A%5C%5Cd%3D2%0A%5Cend%7Bcases%7D

????????故

2%5Cce%7BKNO3%7D%2B%5Cce%7BS%7D%2B%5Cce%7BC%7D%5Cxlongequal%7B%E7%82%B9%E7%87%83%7D%5Cce%7BK2S%7D%2B2%5Cce%7BNO2%7B%7D%5E%7D%2B%5Cce%7BCO2%7B%7D%5E%7D

????????筆者曾用此方法計算過例4,大約需要比較強(qiáng)的數(shù)學(xué)計算功底與30分鐘。

????????如果方程更復(fù)雜,除了代入消元法和加減消元法,采用行列式計算也是可行的(雖然計算量爆炸)。

????## 后面是練習(xí)

????例9.配平

%5Cce%7BNO2%7D%2B%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BNO%7D%2B%5Cce%7BHNO3%7D

解:

%5Cce%7BNO2%7D%2B%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7B%5Coverset%7Bv%202%7D%7BN%7DO%7D%2B%5Cce%7BH%5Coverset%7B%5E%201%7D%7BN%7DO3%7D

%5Cce%7BNO2%7D%2B%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B1%7D%7D%5Cce%7B%5Coverset%7Bv%202%5Ctimes%201%7D%7BN%7DO%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BH%5Coverset%7B%5E%201%5Ctimes%202%7D%7BN%7DO3%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B3%7D%7D%5Cce%7BNO2%7D%2B%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B1%7D%7D%5Cce%7B%5Coverset%7Bv%202%5Ctimes%201%7D%7BN%7DO%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BH%5Coverset%7B%5E%201%5Ctimes%202%7D%7BN%7DO3%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B3%7D%7D%5Cce%7BNO2%7D%2B%5Ccolor%7Bgreen%7D%7B%5Ctextbf%7B1%7D%7D%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B1%7D%7D%5Cce%7B%5Coverset%7Bv%202%5Ctimes%201%7D%7BN%7DO%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BH%5Coverset%7B%5E%201%5Ctimes%202%7D%7BN%7DO3%7D

3%5Cce%7BNO2%7D%2B%5Cce%7BH2O%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BNO%7D%2B2%5Cce%7BHNO3%7D

????例10.配平

%5Cce%7BFeS2%7D%2B%5Cce%7BO2%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BFe2O3%7D%2B%5Cce%7BSO2%7D

解:

%5Ccolor%7Bred%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7B-8%7D%7BFe%7D%5Coverset%7B%2B4%7D%7BS2%7D%7D%2B%5Cce%7BO2%7D%5Cxlongequal%7B%5Cquad%7D%5Ccolor%7Bred%7D%7B%5Cce%7BFe2O3%7D%7D%2B%5Cce%7BSO2%7D

%5Ccolor%7Bred%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7B%5Coverset%7B%5E%2011%5Ctimes%202%7D%7BFe%7DS2%7D%2B%5Cce%7B%5Coverset%7Bv%204%7D%7BO2%7D%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BFe2O3%7D%2B%5Cce%7BSO2%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B4%7D%7D%5Cce%7B%5Coverset%7B%5E%2022%5Ctimes%202%7D%7BFe%7DS2%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B11%7D%7D%5Cce%7B%5Coverset%7Bv%204%5Ctimes%2011%7D%7BO2%7D%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BFe2O3%7D%2B%5Cce%7BSO2%7D

%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B4%7D%7D%5Cce%7B%5Coverset%7B%5E%2022%5Ctimes%202%7D%7BFe%7DS2%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B11%7D%7D%5Cce%7B%5Coverset%7Bv%204%5Ctimes%2011%7D%7BO2%7D%7D%5Cxlongequal%7B%5Cquad%7D%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B2%7D%7D%5Cce%7BFe2O3%7D%2B%5Ccolor%7Bblue%7D%7B%5Ctextbf%7B8%7D%7D%5Cce%7BSO2%7D

%5Cce%7BFeS2%7D%2B%5Cce%7BO2%7D%5Cxlongequal%7B%5Cquad%7D%5Cce%7BFe2O3%7D%2B%5Cce%7BSO2%7D


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