不同温度和压力下空气在水中的溶解度计算公式

空气在水中的溶解度拟合求解下方为插入的一个 Excel 文件，双击可以进行编辑摄氏温度"C]压力p[kpa]表压）溶解度华氏温度F]p[psi]65.3<36.20.01317384149.545.250364L(4.4-98£)(0-689.476kpa) 值范围fl(t)f2(t)0.000809095 0.008925：§填入温度值和压力值即可得对应的溶解度1 J华氏度斜率截距斜率58截眶8斜率截距400.0017720.02581772002580000华氏度149.54149.54500.0015330.022315330022300005次系数-2.5E-14 -4E-13600.0013650.019713650019700004次系数1.89E-112.81E-10700.0012310.017712310017700003次系数-5.7E-09 -8.3E-08800.0011320.016111320016100002次系数8.82E-07 1.27E-05900.0010540.014710540014700001次系数-7.4E-05 -0.001071000.000990.01369900013600000次系数0.0036455 0.0529891100.0009390.01269390012600001200.0008950.01178950011700001300.0008610.01078610010700001400.0008330.0098833009800001500.0008090.0089809008900001600.000790.0079790007900001700.0007760.0068776006800001800.0007650.0055765005500001900.0007580.0041758004100002000.0007550.0024755002400002100.0007540.00047540040000以下为溶解度计算公式的拟合过程。

溶解度 溶解度是指溶质在一定量的溶剂中的溶解度极限它是饱和溶液的浓度空气在水中的溶解度溶解在水中的空气量随压力升高而增加，随温度升高而降低考虑所查得数据的整洁性，下文温度采用华氏温度oF,压力单位采用英制压力单位Psig （1 psi=6894.76 Pa）其中华氏温度F与摄氏温度C换算关系为F=9/5C+32空气在水中的溶解度（溶解的空气体积与水体积之比）有以下数据溶解度［V空气/ V 水］温度［＜F］表压[psi]020406080100400.02580.06130.09670.13210.16760.203500.02230.05290.08360.11430.14490.1756600.01970.04690.07420.10140.12960.1559700.01770.04230.06690.09160.11620.1408800.01610.03870.06140.0840.10670.1293900.01470.03580.05690.0780.0990.12011000.01360.03340.05320.0730.09280.11261100.01260.03140.05010.06890.08770.10651200.01170.02960.04750.06540.08330.10121300.01070.0280.04520.06240.07960.09681400.00980.02650.04320.05980.07650.09311500.00890.02510.04130.05740.07360.08981600.00790.02370.03950.05530.07110.08691700.00680.02230.03780.05340.06890.08441800.00550.02080.03610.05140.06670.0821900.00410.01920.03440.04960.06470.07992000.00240.01750.03260.04770.06280.07792100.00040.01550.03060.04570.06070.0758拟合得出以下曲线（各定压下空气溶解度与温度关系）：对表中数据转置，重新拟合（各定温下空气溶解度与压力关系）得：400.21600.1002080100度 解 溶0.25 50 60 7080 90—100 110 —120 130 140 150 170 180 190200 —2100.150.0540 60英制压力[psi]以上可得出定温下空气溶解度与压力关系式，各关系式斜率k及截距b如下：kbk*1e8b*1e8400.0017720.02581772002580000500.0015330.02231533002230000600.0013650.01971365001970000700.0012310.01771231001770000800.0011320.01611132001610000900.0010540.014710540014700001000.000990.01369900013600001100.0009390.01269390012600001200.0008950.01178950011700001300.0008610.01078610010700001400.0008330.0098833009800001500.0008090.0089809008900001600.000790.0079790007900001700.0007760.0068776006800001800.0007650.0055765005500001900.0007580.0041758004100002000.0007550.0024755002400002100.0007540.00047540040000对斜率数据和截距数据分别拟合曲线得（横坐标均表示华氏温度）: 斜率曲线40 60 80 100 120 140 160 180 200截距曲线令斜率 k=f](T),截距 b=f2(T)。

若已知水温为t,表压为p,则k=右⑴,b=以t) 溶解度 s=k*p+b= f](t)*p+ f2(t)o以上为近似求解空气在水中溶解度的方法(注意单位换算)。