CCM.P-K1.c

MEASURAND : Effective area A' (p', 20 °C) of Piston-cylinder unit C-415
NOMINAL VALUE : 84 mm2

Degrees of equivalence, Di = (xi - xR) / xR versus p' for Piston-cylinder C-415

The coloured lines have no physical significance and are used only for participants identification. The expanded uncertainties are given in Degrees of equivalence

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, APMP.M.P-K1.c.2, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      1 MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

1 MPa
Di / 10-6
Participating institutes

CCM.P-K1.c, EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      4 MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

4 MPa
Di / 10-6
Participating institutes

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c and EURAMET.M.P-K1.c

Nominal pressure      from 0.6 MPa to 7 MPa MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

 

 

The coloured curves have no physical significance and are used only for participants identification. The expanded uncertainties are listed in Degrees of Equivalence.

CCM.P-K1.c

MEASURAND : Effective area A' (p', 20 °C) of Piston-cylinder unit C-415
NOMINAL VALUE : 84 mm2

Degrees of equivalence Di and expanded uncertainty Ui (k = 2) expressed in 10-6


Full matrices of equivalence for pressures 79.4 kPa, 429.5 kPa and 896.4 kPa

   
Lab iDiUi
p' = 79.4 kPa/ 10-6/ 10-6
IMGC-CNR4.224.8
BNM-LNE0.68.4
PTB2.39.2
NRLM-4.318.0
NIST0.318.2
   
p' = 429.5 kPa  
IMGC-CNR-1.322.6
BNM-LNE2.87.6
PTB1.110.4
NRLM-2.117.8
NIST0.020.2
   
p' = 896.4 kPa  
IMGC-CNR-4.922.0
BNM-LNE4.77.6
PTB2.310.4
NRLM-1.917.2
NIST-0.222.8

The full matrices of equivalence are available in Summary Results (summary of the results as a .PDF file).

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, APMP.M.P-K1.c.2, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      1 MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

LABi Di Uneg,i Upos,i
10-6
10-6
10-6
IMGC-CNR -5.6 26
BNM-LNE -2.9 16
PTB 0.4 17
NMIJ -7.5 21
NIST 7.3 23
BEV 19 44
MIKES -13 31
CEM 1 42
SP/FFA -3 31
NPLI 5.0 43
KRISS -10 36
CSIRO-NML -11 26
MSL -46 61
SPRING Singapore 12 65
NML-SIRIM -8.0 46
SCL -31 39
CSIR-NML 35 42
NIS -24 64
CMS/ITRI 0 51
NIMT 20 44
FORCE 30 122
MIKES 7.1 22
NPL -4.3 22
UME 21 22
SMU 10 40
NSAI-NML -7.7 33
GUM 5.3 34
MKEH 2.8 41
NMISA 7.7 35
BIM 57 91
NIM -5.6 28
FORCE 4.9 50
UME 5.3 32
PTB -0.8 26
BEV 6.6 29
METAS -1.8 26
SMD 18 44
MCCAA -8.8 31
CEM -0.6 29
FSB-LPM -12 33
MIRS/IMT/LMT 8.8 25
SMU -3.6 30
IMBiH 10 39
INM -21 60
MKEH -4.2 30
INRIM 4.9 27
RISE 3.5 43
NPL 7.1 24
NSAI NML 0.5 37
GUM 22 36
VSL 5.2 27
VTT MIKES -13 31
Participating institutes
CCM.P-K1.c
EUROMET.M.P-K2
APMP.M.P-K1.c
APMP.M.P-K1.c.1
EUROMET.M.P-K3.b
APMP.M.P-K1.c.2
EURAMET.M.P-K1.c

CCM.P-K1.c, EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      4 MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

LABi Di Uneg,i Upos,i
10-6
10-6
10-6
IMGC-CNR -1.3 30
BNM-LNE -2.2 16
PTB 7.1 21
NMIJ -8.2 21
NIST 12 26
BEV 24 43
MIKES -12 27
CEM -4 41
SP/FFA 3 29
NPLI -4 43
KRISS -4 36
CSIRO-NML -17 26
MSL -48 61
SPRING Singapore 13 65
NML-SIRIM -13 46
SCL -28 39
CSIR-NML 25 36
NIS -13 48
CMS/ITRI -11 51
NIMT 20 41
FORCE 8 61
MIKES -2.4 24
NPL -19.3 26
UME 7 27
SMU -10 41
NSAI-NML -35.2 35
GUM -6.6 35
MKEH -7.0 42
NMISA -16.4 37
BIM 40 92
FORCE 11 43
UME 7.0 32
PTB 7.1 22
BEV 5.2 29
METAS -3.2 26
SMD 21 40
MCCAA -8.1 30
CEM 13 29
FSB-LPM 0.4 32
MIRS/IMT/LMT 11 24
SMU 2.3 29
IMBiH 10 38
INM -4.8 66
MKEH -0.3 28
INRIM 7.5 27
RISE 3.7 44
NPL 8.7 24
NSAI NML 3.4 30
GUM 20 36
VSL 7.7 27
VTT MIKES -8.6 28
Participating institutes
CCM.P-K1.c
EUROMET.M.P-K2
APMP.M.P-K1.c
APMP.M.P-K1.c.1
EUROMET.M.P-K3.b
EURAMET.M.P-K1.c

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c and EURAMET.M.P-K1.c

Nominal pressure      from 0.6 MPa to 7 MPa MPa

Measurand                    Effective area of Piston-cylinder units

 

Degrees of equivalence represented by Di = (xI - xR) and its expanded uncertainty Ui at a 95 % level of confidence, both expressed in 10-6.

EUROMET.M.P-K2
Metrology area, Sub-field Mass and related quantities, Pressure
Description Pressure measurements in gas (gauge mode)
Time of measurements 1994 - 1995
Status Approved for equivalence
Final Reports of the comparisons
Measurand Effective area of a piston-cylinder unit: 98.05 mm2
Parameters Pressure: 1 MPa to 4 MPa
Transfer device Piston-cylinder unit
Comparison type Key Comparison
Consultative Committee CCM (Consultative Committee for Mass and Related Quantities)
Conducted by EURAMET (European Association of National Metrology Institutes)
RMO Internal Identifier EUROMET Project No 305
Comments

EUROMET.M.P-K2 results published on 26 April 2002

APMP.M.P-K1.c.1, APMP.M.P-K1.c, EUROMET.M.P-K2 and EUROMET.M.P-K3.b results are linked to those of CCM.P-K1.c

APMP.M.P-K1.c.1 and EUROMET.M.P-K3.b results are given here for nominal pressures 1 MPa and 4 MPa only

Pilot institute PTB
Physikalisch-Technische Bundesanstalt
Germany
Contact person J. Jäger

+49 (0) 531 592 3130
First Name Last Name
wwww@ww.www +356719836 Institute 1 Institute 1 Khmelnitskiy
Pilot laboratory
PTB

Physikalisch-Technische Bundesanstalt, Germany, EURAMET

BEV

Bundesamt für Eich- und Vermessungswesen, Austria, EURAMET

BNM-LNE

Bureau National de Métrologie - Laboratoire National d'Essais, France, EURAMET

CEM

Centro Español de Metrologia, Spain, EURAMET

MIKES

VTT Technical Research Centre of Finland Ltd, Centre for Metrology/Mittatekniikan keskus, Finland, EURAMET

SP/FFA

Swedish National Testing and Research Institute/Aeronautical Research Institute of Sweden, Sweden, EURAMET

CCM.P-K1.c

MEASURAND : Effective area A' (p', 20 °C) of Piston-cylinder unit C-415
NOMINAL VALUE : 84 mm2

The key comparison reference value, xR, is obtained as the linear fit A'p' vs. pressure  p' of the results from the five participants. The standard uncertainty of the reference value, uR, is taken as the standard deviation of the linear fit.
xR/ mm2 = A'p'(p', 20 °C) / mm2 = 84.00489 + 2.962 . 10-7p' /kPa
uR / xR = 2.5 .10-6
The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:
Di = (xi - xR) / xR, the relative deviation from the reference value, and
Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).
The degree of equivalence between two laboratories is given by a pair of terms:
Dij = Di - Dj = (xi - xj) / xR, the relative difference between their results, and
Uij = 2(ui2 + uj2 + utr.std.2)1/2 / xR its expanded uncertainty (k = 2).
utr.std. is the transfer standard stability (2.10-6 for C-415 unit).
The degrees of equivalence by pairs are computed for the following pressures:
79.4 kPa, 429.5 kPa and 896.4 kPa

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, APMP.M.P-K1.c.2, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      1 MPa

Measurand                    Effective area of Piston-cylinder units

 

CCM.P-K1.c

Nominal value             8.4 mm2

The key comparison reference value, xR, is obtained as the linear fit A'p' vs. pressure p' of the results from the five participants. The standard uncertainty of the reference value, uR, is taken as the standard deviation of the linear fit.

                                     xR/ mm2 = A'p'(p', 20 °C) / mm2 = 8.3885165 + 3.947 . 10-8p' /kPa
                                     uR / xR = 7.2 . 10-6

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:


                                        Di = (xi - xR) / xR, the relative deviation from the reference value, and
                                        Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).

 

EUROMET.M.P-K2

The linking of EURAMET.M.P-K2 to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

APMP.M.P-K1.c

The linking of APMP.M.P-K1.c to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

APMP.M.P-K1.c.1

The linking of APMP.M.P-K1.c.1 to CCM.P-K1.c is made via SPRING that participated in both comparisons, detailed in Section 4.4 of the APMP.M.P-K1.c.1 Final Report.

 

EUROMET.M.P-K3.b

The linking of EUROMET.M.P-K3.b to CCM.P-K1.c is made via PTB and INRiM that participated in both comparisons​​​​​​, detailed in Section 7 of the EUROMET.M.P-K3.b Final Report

 

APMP.M.P-K1.c.2

The linking of APMP.M.P-K1.c.2 to CCM.P-K1.c is made via KRISS that participated in both comparisons, detailed in Section 6 of the APMP.M.P-K1.c.2 Final Report.

 

EURAMET.M.P-K1.c

The linking of EURAMET.M.P-K1.c to CCM.P-K1.c is made via PTB that participated in both comparisons​​​​​​, detailed in Section 7 of the EURAMET.M.P-K1.c Final Report. 

CCM.P-K1.c, EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      4 MPa

Measurand                    Effective area of Piston-cylinder units

CCM.P-K1.c

Nominal value             8.4 mm2

The key comparison reference value, xR, is obtained as the linear fit A'p' vs. pressure p' of the results from the five participants. The standard uncertainty of the reference value, uR, is taken as the standard deviation of the linear fit.

                                     xR/ mm2 = A'p'(p', 20 °C) / mm2 = 8.3885165 + 3.947 . 10-8p' /kPa
                                     uR / xR = 7.2 . 10-6

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:


                                        Di = (xi - xR) / xR, the relative deviation from the reference value, and
                                        Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).

 

EUROMET.M.P-K2

The linking of EURAMET.M.P-K2 to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

APMP.M.P-K1.c

The linking of APMP.M.P-K1.c to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

APMP.M.P-K1.c.1

The linking of APMP.M.P-K1.c.1 to CCM.P-K1.c is made via SPRING that participated in both comparisons, detailed in Section 4.4 of the APMP.M.P-K1.c.1 Final Report.

 

EUROMET.M.P-K3.b

The linking of EUROMET.M.P-K3.b to CCM.P-K1.c is made via PTB and INRiM that participated in both comparisons​​​​​​, detailed in Section 7 of the EUROMET.M.P-K3.b Final Report

 

EURAMET.M.P-K1.c

The linking of EURAMET.M.P-K1.c to CCM.P-K1.c is made via PTB that participated in both comparisons​​​​​​, detailed in Section 7 of the EURAMET.M.P-K1.c Final Report. 

 

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c and EURAMET.M.P-K1.c

Nominal pressure      from 0.6 MPa to 7 MPa MPa

Measurand                    Effective area of Piston-cylinder units

 

CCM.P-K1.c

Nominal value             8.4 mm2

The key comparison reference value, xR, is obtained as the linear fit A'p' vs. pressure p' of the results from the five participants. The standard uncertainty of the reference value, uR, is taken as the standard deviation of the linear fit.

                                     xR/ mm2 = A'p'(p', 20 °C) / mm2 = 8.3885165 + 3.947 . 10-8p' /kPa
                                     uR / xR = 7.2 . 10-6

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms:


                                        Di = (xi - xR) / xR, the relative deviation from the reference value, and
                                        Ui = 2(ui2 + uR2)1/2 / xR, its expanded uncertainty (k = 2).

 

EUROMET.M.P-K2

The linking of EURAMET.M.P-K2 to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

APMP.M.P-K1.c

The linking of APMP.M.P-K1.c to CCM.P-K1.c is made via BNM-LNE and PTB that participated in both comparisons.

 

EURAMET.M.P-K1.c

The linking of EURAMET.M.P-K1.c to CCM.P-K1.c is made via PTB that participated in both comparisons​​​​​​, detailed in Section 7 of the EURAMET.M.P-K1.c Final Report. 

CCM.P-K1.c

MEASURAND : Effective area A' (p', 20 °C) of Piston-cylinder unit C-415 (Ruska 2465 pressure balance), from 79 kPa to 896 kPa determined from pressure measurement comparisons against participants primary standards
NOMINAL VALUE : 84 mm2

xi : result of measurement, as A' (p', 20 °C) based on the arithmetic average of 10 experimental points, carried out by laboratory i
ui : combined standard uncertainty of xi

Note that at the time of the comparison, NMIJ (National Metrology Institute of Japan) was designated as NRLM (National Research Laboratory of Metrology).

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c, APMP.M.P-K1.c.1, APMP.M.P-K1.c.2, EUROMET.M.P-K3.b and EURAMET.M.P-K1.c

Nominal pressure      1 MPa

Measurand                    Effective area of Piston-cylinder units

 

Nominal value             8.4 mm2

 

xi        result of measurements, as A' (p', 20 °C) based on the arithmetic average of 10 experimental points, carried out by Labi
ui       combined standard uncertainty of xi

CCM.P-K1.c

Nominal pressure      4 MPa

Measurand                    Effective area of Piston-cylinder units

 

Nominal value             8.4 mm2

 

xi        result of measurements, as A' (p', 20 °C) based on the arithmetic average of 10 experimental points, carried out by Labi
ui       combined standard uncertainty of xi

CCM.P-K1.c , EUROMET.M.P-K2, APMP.M.P-K1.c and EURAMET.M.P-K1.c

Nominal pressure      from 0.6 MPa to 7 MPa MPa

Measurand                    Effective area of Piston-cylinder units

 

Nominal value             8.4 mm2

 

xi        result of measurements, as A' (p', 20 °C) based on the arithmetic average of 10 experimental points, carried out by Labi
ui       combined standard uncertainty of xi