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AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 1 of 18
Final report on AFRIMETS comparison of Liquid in Gl ass
thermometer calibrations from -35 °C to 250 °C (Final report)
16 August 2017
1. Introduction ..................................................................................................................................................... 1
2. Participants ..................................................................................................................................................... 1
3. Detailed description of the devices ................................................................................................................. 2
4. Procedure for measurement ........................................................................................................................... 2
5. Comparison reference value (RV) .................................................................................................................. 2
6. Results ............................................................................................................................................................ 2
7. Evaluation of results ....................................................................................................................................... 8
8. Conclusions and recommendations ............................................................................................................... 8
9. Appendix: Uncertainty budgets ..................................................................................................................... 10
1 Introduction
The purpose of this interlaboratory comparison (ILC) is to test the proficiency / evaluate the measurement
capabilities of the participant National Metrology Institutes (NMIs), in the field of calibration of liquid-in-glass
thermometers (LIGTs), in order to support their submissions of Calibration and Measurement Capabilities
(CMCs) in the field of Thermometry to the BIPM Key Comparison Database (KCDB).
The comparison forms part of the project “Strengthening Quality Infrastructure for Trade Enhancement and
Consumer Protection in the SADC Region in accordance with the TBT Annex to the SADC Trade protocol”
(Project No.: PN 2012.2297.5 – 95088). In accordance with the terms of the project, participation in the ILC
was restricted to those members of the SADCMET sub-RMO (Regional Metrology Organisation) who are
signatories of the CIPM Mutual Recognition Arrangement (MRA), namely, Botswana, Mauritius, Namibia,
Seychelles, South Africa, Zambia and Zimbabwe.
2 Participants
Institute Contact person Email Measuremen
t period
National Metrology Institute of South
Africa (NMISA)
Dr Efrem Ejigu [email protected] 13 Jan 2016
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 2 of 18
Scientific & Industrial Research &
Development Centre - National
Metrology Institute (SIRDC-NMI)
Mr Blessing
Chibaya
[email protected] 19 Jan 2016
Zambia Bureau of Standards (ZABS) Mr Victor Mwazi [email protected] 22 Jan 2016
Botswana Bureau of Standards
(BOBS)
Mr Tebogo
Kajane
[email protected] 25 Jan 2016
Namibian Standards Institute (NSI) Mr Victor
Mundembe
[email protected] 12 Feb 2016
NMISA 26 Feb 2016
Mauritius Standards Bureau (MSB) Mr Christian Ng
Ha Kwong
[email protected] 4 Apr 2016
NMISA 20 Jun 2016
Seychelles Bureau of Standards (SBS) Mr Gilbert
Madeleine
[email protected] 12 Sep 2016
3 Detailed description of the devices
The Units Under Test (UUTs) were mercury-in-glass thermometers designed for total immersion of the liquid
column.
Manufactur er Model Range Serial no
Amarell L 33 102 (solid-stem) -38 to +50: 0.2 °C 1469700
N 60 076 (solid-stem) +98 + 152: 0.1 °C 35765
N 60 008 (enclosed-scale) +198 + 252: 0.1 °C 5
4 Procedure for measurement
Participants were requested to perform all measurements as close to total immersion as the local heat
source allowed. Any deviation from total immersion was to be taken into account in the uncertainty budget, or
corrected for (Emergent Liquid Column correction). The temperature indicated by the transfer artefact was
requested to be within 2 °C of the nominal temperature.
5 Comparison reference value (RV)
As NMISA is accredited by SANAS to perform LIGT calibrations, with uncertainties from 0.015 °C to 0.05 °C
over the range of the ILC, NMISA's results were chosen to be used as Comparison Reference Values (RV).
In the analysis below, NMISA's initial corrections are used as the Reference Values (RV) and each
participant's corrections as the Lab Values (LV).
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 3 of 18
Though this approach deviates from the usual philosophy of NMI-level comparisons, namely that all
participants' results contribute to the Reference Value, the present “proficiency testing” approach is
considered more reasonable, as the Measurement Capabilities of the participants other than NMISA are
largely untested. Though NMISA does not yet have published CMCs for LIGT calibration in the KCDB, and
no Key Comparison has or will take place in this industrial thermometry field, the institute has performed
similar measurements in APMP.T-S6 of August 2009: this ILC involved calibration of an industrial PRT by
comparison with SPRTs in liquid baths, and NMISA achieved |LV-RV| ≤ 0.004 °C and U (LV) ≤ 0.008 °C over
the range -50 °C to 400 °C. (Its SPRT CMCs in the KCDB are supported by its July 2000 APMP.T-K3 results
from -39 °C to 420 °C, namely, |LV-RV| < 0.001 °C and U(LV) ≤ 0.001 °C.)
6 Results
The Reference Values differ somewhat from those used to prepare the Peer Review reports issued to
participants from 19 January to 7 April, as Emergent Liquid Column (ELC) corrections of -0.02 °C to +0.05 °C
were only applied to NMISA's results for the present report. The only significant changes (|En| <1 to >1, or
vice versa) are as follows:
BOBS, 250 °C: LV-RV = 0.08 °C to 0.13 °C (En = 0.8 to 1.5)
MSB, 200 °C: LV-RV = -0.10 °C to -0.05 °C (En = -1.2 to -0.7)
Participant: NMISA Meas date: 14/Jan/2016 Cal'ed by: T Madiba
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-35.040 -35.020 -0.020 0.030 -0.020 0.030 0.000 0.0
-30.050 -30.020 -0.030 0.030 -0.030 0.030 0.000 0.0
-0.020 -0.010 -0.010 0.030 -0.010 0.030 0.000 0.0
49.980 50.010 -0.030 0.030 -0.030 0.030 0.000 0.0
99.990 100.010 -0.020 0.030 -0.020 0.030 0.000 0.0
149.990 150.030 -0.040 0.030 -0.040 0.030 0.000 0.0
200.030 200.040 -0.010 0.030 -0.010 0.030 0.000 0.0
249.990 250.050 -0.060 0.030 -0.060 0.030 0.000 0.0
Participant:
SIRDC-
NMI Meas date: 19/Jan/2016 Cal'ed by:
B Chibaya & J
Madziwa
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-35.003 -35.000 -0.003 0.250 -0.020 0.030 0.017 0.1
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 4 of 18
Participant:
SIRDC-
NMI Meas date: 19/Jan/2016 Cal'ed by:
B Chibaya & J
Madziwa
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-29.814 -29.800 -0.014 0.250 -0.030 0.030 0.016 0.1
-0.005 0.000 -0.005 0.250 -0.010 0.030 0.005 0.0
50.003 50.000 0.003 0.250 -0.030 0.030 0.033 0.1
99.764 99.900 -0.136 0.600 -0.020 0.030 -0.116 -0.2
150.061 150.000 0.061 0.600 -0.040 0.030 0.101 0.2
-0.010 0.030
250.569 250.600 -0.031 0.820 -0.060 0.030 0.029 0.0
Participant: ZABS Meas date: 22/Jan/2016 Cal'ed by:
B Fisambo, M
Nyambe & V Mwazi
Actu al Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-34.980 -35.000 0.020 0.130 -0.020 0.030 0.040 0.3
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
SIRDC-NMI U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 5 of 18
Participant: ZABS Meas date: 22/Jan/2016 Cal'ed by:
B Fisambo, M
Nyambe & V Mwazi
Actu al Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-29.980 -30.000 0.020 0.130 -0.030 0.030 0.050 0.4
0.000 0.000 0.000 0.120 -0.010 0.030 0.010 0.1
50.040 49.977 0.063 0.130 -0.030 0.030 0.093 0.7
99.610 99.600 0.010 0.100 -0.020 0.030 0.030 0.3
149.990 150.000 -0.010 0.080 -0.040 0.030 0.030 0.4
201.070 201.100 -0.030 0.060 -0.010 0.030 -0.020 -0.3
Participant: BOBS Meas date: 25/Jan/2016 Cal'ed by: N Nkgare
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-34.874 -35.000 0.126 0.130 -0.020 0.030 0.146 1.1
-29.889 -30.000 0.111 0.130 -0.030 0.030 0.141 1.1
0.016 0.000 0.016 0.130 -0.010 0.030 0.026 0.2
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
ZABS U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 6 of 18
Participant: BOBS Meas date: 25/Jan/2016 Cal'ed by: N Nkgare
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
50.140 50.200 -0.060 0.130 -0.030 0.030 -0.030 -0.2
100.250 100.200 0.050 0.080 -0.020 0.030 0.070 0.8
150.313 150.300 0.013 0.090 -0.040 0.030 0.053 0.6
200.325 200.300 0.025 0.090 -0.010 0.030 0.035 0.4
250.368 250.300 0.068 0.080 -0.060 0.030 0.128 1.5
Participant: NSI Meas date: 12/Feb/2016 Cal'ed by:
G Mabakeng & H
Shikomba
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-0.020 0.030
-29.750 -29.950 0.200 0.200 -0.030 0.030 0.230 1.1
0.140 0.040 0.100 0.200 -0.010 0.030 0.110 0.5
50.160 50.190 -0.030 0.200 -0.030 0.030 0.000 0.0
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
BOBS U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 7 of 18
Participant: NSI Meas date: 12/Feb/2016 Cal'ed by:
G Mabakeng & H
Shikomba
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
100.140 100.080 0.060 0.200 -0.020 0.030 0.080 0.4
149.870 149.937 -0.067 0.200 -0.040 0.030 -0.027 -0.1
Participant: NMISA Meas date: 26/Feb/2016 Cal'ed by: T Madiba
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-0.040 -0.010 -0.030 0.030 -0.010 0.030 -0.020 -0.5
99.980 100.010 -0.030 0.030 -0.020 0.030 -0.010 -0.2
200.010 200.040 -0.030 0.030 -0.010 0.030 -0.020 -0.5
Participant: MSB Meas date: 4/Apr/2016 Cal'ed by: C Ng Ha Kwong
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
NSI U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 8 of 18
Participant: MSB Meas date: 4/Apr/2016 Cal'ed by: C Ng Ha Kwong
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-0.020 0.030
-0.030 0.030
0.010 0.000 0.010 0.040 -0.010 0.030 0.020 0.4
49.990 50.000 -0.010 0.040 -0.030 0.030 0.020 0.4
100.000 100.000 0.000 0.070 -0.020 0.030 0.020 0.3
149.960 150.010 -0.050 0.070 -0.040 0.030 -0.010 -0.1
199.960 200.020 -0.060 0.070 -0.010 0.030 -0.050 -0.7
Note: The liquid column of the 198 °C to 252 °C thermometer separated during return shipment from
Mauritius to South Africa, and was not able to be repaired. For this reason, no 200 °C verification appears
below. Visual inspection by MSB (and close agreement of their 200 °C measurement with the RV) suggests
that their 200 °C result may be included in the ILC (i.e., that it is unaffected by the fault).
Participant: NMISA Meas date: 20/Jun/2016 Cal'ed by: S du Clou
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
MSB U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 9 of 18
Participant: NMISA Meas date: 20/Jun/2016 Cal'ed by: S du Clou
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
-0.020 -0.010 -0.010 0.030 -0.010 0.030 0.000 0.0
100.000 100.010 -0.010 0.030 -0.020 0.030 0.010 0.2
Participant: SBS Meas date: 12/Sep/2016 Cal'ed by: H Richmond
Actual Indicated Correction U(LV) RV U(RV) LV-RV
temp (°C) temp (°C) (°C) (°C) (°C) (°C) (°C) En
100.000 100.020 -0.020 0.034 -0.020 0.030 0.000 0.0
150.002 150.020 -0.018 0.036 -0.040 0.030 0.022 0.5
Note: Owing to logistical reasons, no closing measurement could be made to confirm artefact stability after
measurement at SBS - however, the results obtained by SBS suggest that the artefact was in good condition
at the time of measurement, and that SBS results may reasonably be compared to the Reference Values.
7 Evaluation of results
NMISA's 26 Feb and 20 June verification checks agree with their initial measurements within 0.02 °C,
-50 0 50 100 150 200 250-0.8
-0.4
0.0
0.4
0.8
AFRIMETS.T-S5: LIGT (Hg, total immersion), 2016
SBS U(RSS) U(RSS)
Temperature (°C)
LV -
RV
(°C
)
AFRIMETS.T-S5 Supplementary comparison Liquid-in-glass thermometers -35 °C to 250 °C Final report (16 August 2017)
Page 10 of 18
indicating that the artefacts were stable during the ILC. U(RV)/U(LV) ≤ 1 at all points (indeed,
U(RV)/U(LV) ≤ 0.5 at all points except MSB's 0 °C and 50 °C), indicating that RV is sufficiently accurate to
test most participants' measurement capabilities rigorously.
8 Conclusions and recommendations
The artefacts were hand-carried from South Africa to the first four participants. (Hand-carriage to Mauritius
and Seychelles was not possible, as mercury-in-glass thermometers may not be carried in passengers'
luggage on aero planes.) The comparison coordinator visited each of these four institutes for two days,
performing an on-site peer review of the evidence supporting the laboratory's Thermometry measurement
capabilities. During that time, laboratory staff completed their ILC measurements, calculated uncertainties
and handed their results to the coordinator.
This method of artefact circulation had significant advantages, namely:
i. The risk of damage to the artefacts was greatly reduced. (This risk is otherwise significant, as shown
by damage to one artefact on the return flight from Mauritius, and destruction of a second artefact
during shipment by courier from South Africa to Seychelles. The latter incident made it impractical for
Seychelles Bureau of Standards to participate in the present ILC.)
ii. The time required for shipment (particularly, Customs clearance) was shortened from approximately
one month (as experienced during past regional ILCs) to two days per journey.
iii. Delays in the transmission and analysis of results were avoided.
The present ILC has largely avoided the delays and damage that affected the 2001 LIGT ILC SADC.T-P1,
while covering a much larger temperature range than the 0 °C to 50 °C of that ILC. It should be of significant
value to participants, both in support of Thermometry CMC submissions to the AFRIMETS TC/WG-T, and to
satisfy the proficiency testing requirements of accreditation bodies.
As a guide to participants, the smallest CMC which can be supported by this interlaboratory comparison, for
a particular participant, at a particular point, is the larger of U (LV) and |LV-RV| at that point.
9 Appendix: Uncertainty budgets
Note: As the values of dominant uncertainty components estimated by a participant are often similar at the various comparison temperatures, a typical uncertainty
budget for each participant (the one for 100 °C) is reproduced below, rather than all their budgets.
NMISA:
Rtp (Ω)25.579,155 Rs (Ω) dRs/dT/Rs (Ω/Ω/K)ESDM (°C)
99.99°C Std: PRT 25.579,188 380Ω -5.E-07 0.0062
REF STD: Value Unit Divisor Sensitivity coeff ui(k=1) (°C) D.o.f.PRT:
Cal of std thermom 0.002,00 °C 2.000 1 0.001,00 500.0 0.0
Drift of std thermom 0.001,40 °C 1.732 1 0.000,81 500.0 0.0
Self-heating
Stability of Rtp 0.000,02 Ω 1.732 13.900 0.000,13 500.0 0.0
Uncert of ref temp (WTP or ice pt) 0.000,30 °C 2.000 1.390 0.000,21 500.0 0.0
Elec. measuring instrument 0.0E+00 Ω/Ω 2.000 3800.0 0.000,00 41.0 0.0
Elec. measuring instrument 3.E-05 3.E-05 Ω 2.000 10.0 0.000,15 31.0 0.0
Ref resistor: cal
Ref resistor: temp coeff 0.2 °C 1.732 -3.E-07 0.000,00 500.0 0.0
HEAT SOURCE:
Temp diff betw std & UUT: melt/freeze coincidence, horiz temp gr 0.0030 °C 1.732 1 0.001,73 500.0 0.0
Control cycle of heat source: Zero if averaged over several cyclesUUT
LIG:Resolution 8 8 0.013 °C 1.732 1.0 0.007,22 500.0 0.0Pressure dependence 102.8 102 0.8 kPa 1.732 0.001 0.000,46 500.0 0.0ELC(cal) - ELC(use) 0.5 0.5 0.250 °C 1.732 0.00842 0.001,22 500.0 0.0Uncert of ELC temperature 0.1285714286 10.03 °C 1.732 0.00016 0.000,92 500.0 0.0
Repeatability 0.006 °C 1.000 1.00 0.006,22 2.0 0.0Reproducibility 0.003 °C 1.732 1.00 0.001,59 500.0 0.0
uc(k=1) (°C): 0.010,03Eff deg of freedom 13.4 8.E-10
t(eff d.o.f.): 2.21U(k=2) (°C): 0.022,16
BMC (°C): 0.030,00
SIRDC-NMI:
Source of uncertainty Value Unit Probability Divisor Sensitivity Uncertainty (k=1)
distribution (°C / unit) (°C)
Uncert of reference std 0.0015 ° C NORMAL K=2 2 1 0.0008 500
Uncert of Resistance Measuring Device 0.0005 Ω NORMAL K=2 2 2.5 0.0008 500
Resolution of STD 0.0001 ° C RECTANGULAR 1.7320508076 1 0.0001 5 00
Drift of reference std 0.003 Ω RECTANGULAR 1.7320508076 2.5 0.00435 00
Stability of R(0.01°C) or R(0°C): ref PRT 0.0024 Ω RECTANGULAR 1.7320508076 2.5 0.0035 2 0
Uncert of ref temperature (WTP or ice point): ref thermometer 0.05 ° C RECTANGULAR 1.7320508076 1 0.0289 2 0
Temperature gradient in bath/furnace/FP cell 0.03 ° C RECTANGULAR 1.7320508076 1 0.0173 2 0
Resolution of UUT 0.1 ° C RECTANGULAR 1.7320508076 1 0.0577 5 00
Uncertainty of ref temperature (WTP or ice point): UUT 0.05 ° C RECTANGULAR 1.7320508076 1 0.0289 5 0 0
Repeatability 0 ° C Normal K=1 1 1 0.0000 5 0 . 0
UUT: Emergent Liquid Columnn 0.02048 ° C RECTANGULAR 1.7320508076 1 0.0118 20
Vertical Temperature Uniformity 0.515 ° C RECTANGULAR 1.7320508076 1 0.2973 20
E f fe c t iv e d e g r e e s o f f r e e d o m 2 2 .5 4 8 5 7 1 6 9
S t u d e n t t 's e f fe c t iv e d e g r e e s o f f r e e d o m 2 .1
Combined uncertainty (k=1): 0.3064
Expanded Uncertainty (k=2) 0.6128
D e g r e e s o f
f r e e d o m
ZABS:
100.00°C UncertaintySource of uncertainty Value Unit Probability Divisor Sensitivity contribution
distribution (k=1) REFERENCE STANDARDCalibration of standard thermometer 0.002000 °C Normal 2.00 1.E+00 0.0010000Repeatability of standard thermometer 0.003569 °C Normal 1.00 1.E+00 0.0035690Drift of standard thermometer 0.006000 °C Rectangular 1.73 1.E+00 0.0034641Resolution of standard thermometer 0.000050 °C Rectangular 1.73 1.E+00 0.0000289Uncertainty of Electrical Measuring Equipment 0.010000 °C Rectangular 1.73 1.E+00 0.0057735HEAT SOURCEBath Stability 0.004000 °C Rectangular 1.73 1.E+00 0.0023094Temperature gradient of bath 0.005000 °C Rectangular 1.73 1.E+00 0.0028868UNIT UNDER TEST (UUT)Resolution of test thermometer 0.050000 °C Rectangular 1.73 1.E+00 0.0288675Repeatability of test thermometer 0.000000 °C Normal 1.00 1.E+00 0.0000000Emergent Stem Temperature Correction 0.000000 °C Rectangular 1.73 1.E+00 0.0000000
Combined uncertainty (k=1): 0.0301010
2.0Expanded uncertainty U(k=2): 0.0602021
BOBS:
NSI:
MSB:
U n it Va lu e D is trib u tio D iv is or S e n s itiv ity C on trib u ti
c a lib ra tion of s td °C 0 .0 1 5 n orm a l 2 1 0.0075 9 5 2 0 0 1 .5 8 E -1 1
drift of standard °C 0 .0 1 5 rec ta n g u la 1 .7 3 2 0 5 1 1 0.008660254 9 5 2 0 0 2 .8 1 E -1 1
Resolution UUT °C 0.01 rec ta n g u la 1 .7 3 2 0 5 1 1 0.005773503 9 5 2 0 0 5 .5 6 E -1 2
Repeatability UUT °C 0 rec ta n g u la 1 .7 3 2 0 5 1 1 0 9 5 2 0 0 0
Temp Gradient bath °C 0 .0 5 rec ta n g u la 1 .7 3 2 0 5 1 1 0.028867513 9 5 2 0 0 3 .4 7 E -0 9
Stability of bath °C 0 .0 0 1 2 2 4 rec ta n g u la 1 .7 3 2 0 5 1 1 0.000706677 9 5 2 0 0 1 .2 5 E -1 5
Job c od e MT/2016/14/0374Ite m MIG Thermometer 100 °C c om b in e d u n c e rta in t 0.031597722 °C ex p a n d e d u0.063195445
C lie n t LMC Solutions 2 8 3 .0 5 3
Relia b ility
(% )
D e g re e s
of
fre e d om u i4(y )/v i
e f fe c tiv e
d e g re e of
fre e d om
SBS:
Uncertainty Budget at 100 ºC
DescriptionDivisor Unit Unit Comments
B Normal 0.018 2 0.0090000 ºC 1 ºC 0.009 1E^10
B Rectangular 0.0005 1.732 0.0002887 ºC 1 ºC 0.0002886836 1E^10
A Normal 0.00012 1 0.0001225 ºC 1 ºC 0.0001224745 4A Normal 0 1 0.0000000 ºC 1 ºC 0 4
B Rectangular 0.02 1.732 0.0115470 ºC 1 ºC 0.0115470054 1E^10
B Rectangular 0.01 1.732 0.0057735 ºC 1 ºC 0.0057735027 1E^10 obtained from manufacturer
B Rectangular 0.009 1.732 0.0051962 ºC 1 ºC 0.0051961524 50
B Rectangular 0 1.732 0 ºC 1 ºC 0 1E^10
B Rectangular 0.01 1.732 0.0057735 ºC 1 ºC 0.0057735027 1E^11 obtained from manufacturerStdard Therm Therm UT Combined Standard Uncertainty 0.0175527302
1 100.001 100.020 Effective Degrees of freedom veff 6510.58
2 100.001 100.020 Level of confidence 95%
3 100.001 100.020 Coverage factor k 1.96
4 100.002 100.020 Expanded Uncertainty 0.0344033512
5 100.002 100.020 Expression of the measurement value
Experimental Standard Deviation 0.0002738613 0
ESDM 0.0001224745 0
Uncertainty Analysis Type
Expected Value
Probability Distribution
Uncertainty Estimate
Standard Uncertainty
u(xi)
Sensitivity Coefficient
ci
Uncertainty Contribution
u(yi)
Degrees of Freedom
νi
us1 : Calibration uncertainty of standard PRT probe & Indicator
us-res : Resolution uncertainty of standard thermometer PRT
us-rep : Repeatability uncertainty of standard thermometer PRT
u5: Repeatability uncertainty of Thermometer Under Test
u6: Resolution uncertainty of Thermometer Under Test
u7: Stability uncertainty of the Bath temperature
u8: Drift of Standard ThermometerNew standard thermometer(1 month) used calibration uncertainty divided by 2
u9: Emergent Liquid columnuut was totally immersed to calibartion point and raised 6mm above surface when taking the reading
u10: Bath inhomogeneity