“溶解热测定”实验数据处理的双倒数模型

Double Reciprocal Mathematical Model for Data Processing for “Determination of Heat of Solution”

对硝酸钾在水中溶解热测定实验数据的处理,常见的Qs～n0数学模型有对数模型、多项式模型和一次指数衰减模型,但这些模型未能完全反映硝酸钾溶解时的一些特征。提出了一种双倒数模型1/Qs=A/n0+B。双倒数模型在形式上更简洁,所用参数只有2个,比对数模型、多项式模型和一次指数衰减模型这3种模型的拟合参数都少,准确度也较高,应用模型作图、分析更为方便,且符合硝酸钾溶解时的特征。

For determination of the processing of experimental data for heat of solution that potassium nitrate released in water,the common mathematical models of Q s ～n 0 are logarithmic,polynomial and index attenuation models.But these models do not fully reflect some of the characteristics when potassium nitrate is dissolved,a double reciprocal model 1 / Q s =A / n 0 +Bis proposed.The double reciprocal model is consisted of two parameters,its form is simpler,parameters are less than logarithmic,polynomial and an exponential decay model,and the accuracy is also higher.What ’ s more,the double reciprocal model is more convenient in mapping,analysis,and closer to the characteristics of potassium nitrate.When the amount of the solvent tends to infinity,that ’ s to say,n 0 tending to infinity,Q s is a constant;It can be observed that the slope of the curve is smaller with the increasing of n0 from the experimental data plotted.When the n 0 is equal to 0,namely,the solvent(water) does not exist,potassium nitrate particle diffusion and particle salvation,and it follows that when the n 0 is equal to 0,Q s should be 0.