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对于“少量多次原则”可以提高萃取率的证明,文献只是采用两个计算出的数据进行对比说明,文献项式定理展开式证明“多次”萃取比“一次”萃取好。本文的证明方法可以推广到“多次”比“少次”好。 萃取的函数关系式如下 请注意,式中V_有为有机溶剂的总体积,将它等分为n份进行n次萃取,则每次萃取的用量为V_有/n=V,用V_有代替V进入关系式,这是本文为推广证明而与文献~([1—3])只用V进入关系式的不同之处。 我们必须证明n越大,则W_n越小,也就是用“少量多次原则”可以提高萃取率。我们知道,若能证明函数的一阶导数小于零,则该函数就是一个递减函数。用对数求导法将式(1)对n求导得:
The proof of “small multiple principle” can improve the extraction rate, the literature is only using two calculated data for comparison, the bibliographic theorem expands that “more” extraction than the “one” extraction. The proof of this article can be extended to “many times” better than “less frequently.” The relationship between the extraction function as follows Please note that where V_ is the total volume of organic solvent, it is divided into n parts n extraction, the amount of each extraction V_ / n = V, with V There is a substitution of V for the relation, which is the difference between this paper and the literature ~ ([1-3]) for the promotion of proof. We must prove that the larger the n, the smaller the W_n, that is, the “minor multiple principle” can increase the extraction rate. We know that if we can prove that the first derivative of the function is less than zero, the function is a decreasing function. Using logarithm method to derive equation (1) for n: