In a reversible reaction, if the material feeding x of a certain reactants is fixed, the equilibrium conversion ratio of y has a definite value under the same conditions. But at present, we could not clearly illustrate the relationship between the two variables entirely dependent on qualitative analysis of Le Chatelier's principle. This article starts with the equation f( x, y)=K, which both variables will be satisfied at chemical equilibrium, then the implicit functionderivative method is usedto directly analyze the monoto-nicity of function y=φ( x) , to obtain the changes of the equilibrium conversion y with increasing feeding x, under different condi-tions. And we deduce the necessary and sufficient conditions when the equilibrium conversion rate of y has the maximum value and the calculation formula of x and y.%可逆反应中,某种物质的投料x一定,相同条件下的平衡转化率y是一个确定的值。但目前仅用勒沙特列原理定性分析无法清晰地说明这两个变量之间具体的关系。本文从达到化学平衡时两者满足的方程f x,y = K入手,运用隐函数求导的方法,直接分析函数y =φ( x)的单调性,得出不同情况下随着投料x的增加,平衡转化率y的变化情况。并推导出了平衡转化率y有最大值的充要条件及此时x和y的计算公式。
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