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目的通过建立变色硅胶吸湿模型和色度值与吸湿量关系的模型,明确变色硅胶颜色变化与环境湿度的关系,进而为基于变色硅胶的湿度指示卡提供理论依据。方法建立变色硅胶在不同湿度和温度下的数学模型,并进行验证实验。结果变色硅胶饱和吸湿量与环境湿度的关系模型为:Q_h=-0.00434RH~2+0.7113RH+2.6664,R~2=0.9933;所用数学模型模型(Q_t=Q_h*[1-exp(--k*t)])和Arrhenius方程拟合所得方程的判定系数R~2都在0.99以上,验证实验的平均相对误差在90%RH和70%RH时分别为1.51%和2.85%;变色硅胶吸湿量与色度值(b值)的线性回归方程为:b=20.488-0.654 Q_t,R~2=0.9799,验证实验的平均相对误差为5.24%,远远低于10%的可接受水平。结论所建模型能够很好地预测变色硅胶的吸湿过程及吸湿后的颜色变化情况,可据此制作基于变色硅胶的湿度指示卡。
OBJECTIVE: To establish a color-changing silica gel moisture absorption model and the relationship between colorimetric value and moisture absorption capacity, to clarify the relationship between the color change of silica gel and environmental humidity, and to provide a theoretical basis for the humidity indicator card based on color-changing silica gel. Methods The mathematical model of discolored silica gel at different humidity and temperature was established and validated experimentally. Results The model for the relationship between saturated moisture absorption capacity and environmental humidity was as follows: Q_h = -0.00434RH ~ 2 + 0.7113RH + 2.6664, R ~ 2 = 0.9933; the mathematical model used was Q_t = Q_h * [1-exp * t)]) and Arrhenius equation fitting coefficient of determination R ~ 2 are 0.99 or more, the experimental verification of the average relative error of 90% RH and 70% RH were 1.51% and 2.85%, respectively; The linear regression equation with the chromaticity value (b value) is: b = 20.488-0.654 Q_t, R ~ 2 = 0.9799. The average relative error of the verification experiment is 5.24%, far below the acceptable level of 10%. Conclusion The model can predict the moisture absorption of color-changing silica gel and the change of color after moisture absorption. Based on this, a color-changing silica gel-based humidity indicator can be made.