常用玻璃量器测量不确定度评定最终版

1、常用玻璃量器测量结果的不确定度评定1、概述1.1、 测量依据：JJG196-2006常用玻璃量器检定规程1.2、 环境条件：温度：21.5C湿度：33%RH1.3、 测量标准：F1等、F2等标准祛码、210g/0.1mg电子天平、3100g/0.01g电子天平、，电子天平最大允许误差为：0.0015g、0.3g。1.4、 被测对象：常用玻璃量器（0.12000）ml。2、数学模型V20M-BA）1（20t）B（wA）式中：V2020C时玻璃量器白实际容量ml;M一被检量器所容纳水的表观质量；3b标准祛码材料号度（g/cm）；3a一天平室内的空气留度（g/cm）；3WtC时的水号度（g/cm）；

2、被检量器的体胀系数（/C）。t检定时水或水银的温度C。3、输入量的标准不确定度评定（1）容量测量A类不确定度被测移液管内20c时的实际容量值的测量重复性可以通过连续测得得到测量列，采用A类方法进行评定。在水温21.8C时，对常用玻璃量器连续测量10次，得到测量列为:0.1(ml)1(ml)2(ml)3(ml)5(ml)10(ml)15(ml)20(ml)25(ml)50(ml)100(ml)200(ml)250(ml)500(ml)1000(ml)2000(ml)10.0961.0011.9932.9884.9899.99214.97919.97524.97549.9699.95199.882

3、49.86499.79999.721999.7020.0971.0001.9952.9894.9879.98514.98019.98024.98349.9699.96199.90249.91499.85999.801999.5330.0961.0011.9932.9864.9899.98314.98219.98224.98149.9799.95199.89249.87499.87999.731999.6240.0981.0011.9922.9854.9889.98814.98519.97324.97649.9799.92199.90249.90499.80999.651999.5650.098

4、1.0021.9942.9904.9889.98714.97819.97224.98249.9699.97199.89249.88499.83999.691999.7060.0961.0001.9952.9914.9909.98614.97619.98324.98449.9699.93199.91249.85499.86999.721999.8370.0961.0001.9932.9854.9919.98514.97719.97524.97249.9699.94199.92249.89499.83999.761999.7280.0961.0001.9932.9854.9929.99014.98

5、319.97524.97749.9799.95199.93249.88499.79999.741999.6190.0961.0021.9922.9864.9899.98514.98319.97624.97549.9799.96199.93249.90499.78999.811999.70100.0971.0021.9932.9864.9869.98714.98019.97724.97349.9799.94199.86249.86499.76999.951999.82y0.09661.00091.99332.98714.98899.986814.980319.976824.977949.9659

6、9.947199.901249.88499.816999.7571999.679s(Yi)0.000840.000880.00110.00220.00180.00270.00280.00370.00440.00500.0150.0220.0200.0370.0830.10uV0.000840.000880.00110.00220.00180.00270.00280.00370.00440.00500.0150.0220.0200.0370.0830.10(2)容量测量B类不确定度a、质量测量引起不确定度分量水质量测量B类不确定度取决于天平和祛码的不确定度，210g/0.1mg电子天平称量误差为

7、甘.7610-7,3100g/0.01g电子天平称量误差为七.2210-6它服从均匀分布u(M)标称容量电子天平称量误差、.30.1ml2.74810-8g25ml6.8710-6g1ml2.74810-7g50ml1.37410-6g2ml5.49710-7g100ml2.74810-5g3ml8.24510-7g200ml3.72810-4g5ml1.37410-6g250ml4.64810-4g10ml2.74810-6g500ml9.29510-4g15ml4.12210-6g1000ml1.85910-3g20ml5.49610-6g2000ml3.71810-3gb、祛码密度引起的

8、不确定度分量祛码密度的扩展不确定度为0.200mg/cm3(k=2),所以:43u(B)0.200/21.00010(g/cm)c、空气密度引起不确定度分量u(a)1.2104/,36.9105g/cm3空气密度的最大允许误差为1.210-4(g/cm3),它服从均匀分布，所以：d、水密度测量引起不确定度分量因为在21.8C时，W=0.9978(g/cm3)水密度测量的最大允许误差为10.01%,按服从均匀分布考虑，所以水密度的不确定度为：u(w)0.99780.01%5.8105(g/cm3)e、容器体胀系数引起不确定度分量因为=2510-6C1,其测量误差为受5IC7C1,按均匀分布考虑，

9、则:u()25107/V31.4106C-1f、水温度测量引起不确定度分量水温度的测量误差为3.01C,它服从均匀分布，所以:u(t)0.01/35.774103C4、合成标准不确定度的评定4.1、 灵敏系数数学模型V20M-Ba1(20t)B(wA)M0.1g、1g、2g、3g、5g、10g、15g、20g、25g、50g、100g、200g、250g、500g、1000g、2000g33B8.00g/cm3;A0.0012g/cm3;25106/C;W0.997815g/cm3;t21.8C则传播系数为：GV/M-(-B1(20t)cm3/gB(WA)MA6,cV/B2A1(20t)cm6

10、/gB(WA)M(bW)6c3V/AB二1(20t)cm6/gB(WA)M(ba)rc4V/WBA41(20t)cm6/gB(WA)c5V/生一B-(20t)cm3.C06V/tB(WA)c1(cm3/g)c2(cm6/g)c3(cm6/g)c4(cm6/g)c5(cm3.C)c6(cm3.C-1)0.11.0031.8810-60.08812-0.10066-0.18058-2.51W-511.0031.8810-50.8812-1.0066-1.8058-2.51W-421.0033.7610-51.762-2.0132-3.612-5.02W-4M(Ba)B(WA)cm3.C-131.0

11、035.6410-52.644-3.0198-5.417-7.53W-451.0039.410-54.406-5.033-9.029-1.255W-3101.0031.8810-48.812-10.066-18.058-2.51W-3151.0032.8210-413.218-15.099-27.087-3.765W-3201.0033.7610-417.624-20.132-36.116-5.02W-3251.0034.710-422.03-25.165-45.145-6.275W-3501.0039.410-444.06-50.33-90.29-1.255W-21001.0031.8810

12、-388.12-100.66-180.58-2.51W-22001.0033.7610-3176.24-201.32-361.16-3.765W-22501.0034.710-3220.3-251.65-451.45-6.275W-25001.0039.410-3440.6-503.3-902.9-0.125510001.0031.8810-2881.2-1006.6-1805.8-0.25120001.0033.7610-21762.4-2013.2-3611.6-0.37654.2、 合成标准不确定度以上各项标准不确定度分量是不相关的，所以合成标准不确定度为:22222222222222U

13、c(V20)u(V)guMC2UBC3UAC4uWC5UC6ut0.1ml0.00125ml0.0041ml0.00150ml0.012ml0.001100ml0.013ml0.002200ml0.035ml0.002250ml0.0310ml0.003500ml0.0615ml0.0031000ml0.1220ml0.0042000ml0.205、扩展不确定度的评定取置信概率p95%,k2U95kUc(V20)0.1ml0.00225ml0.0081ml0.00250ml0.022ml0.002100ml0.023ml0.004200ml0.065ml0.004250ml0.0610ml0.006