CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon monoxide : ~ 30 mmol/mol
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2) expressed in mmol/mol
Please click onto the graph to get an enlarged version.
Red diamonds: participants in CCQM-K3
Green triangles: participants in EUROMET.QM-K3
Blue circles: participants in APMP.QM-K3
Orange squares: participants in COOMET.QM-K3
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon dioxide : ~ 135 mmol/mol
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2) expressed in mmol/mol
Please click onto the graph to get an enlarged version.
Red diamonds: participants in CCQM-K3
Green triangles: participants in EUROMET.QM-K3
Blue circles: participants in APMP.QM-K3
Orange squares: participants in COOMET.QM-K3
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Propane : ~ 2 mmol/mol
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2) expressed in mmol/mol
Please click onto the graph to get an enlarged version.
Red diamonds: participants in CCQM-K3
Green triangles: participants in EUROMET.QM-K3
Blue circles: participants in APMP.QM-K3
Orange squares: participants in COOMET.QM-K3
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon monoxide : ~ 30 mmol/mol
Lab i | D_{i} | U_{i} |
/(mmol/mol) | /(mmol/mol) | |
OMH | -0.018 | 0.038 |
BAM | 0.037 | 0.162 |
NIST | -0.020 | 0.209 |
NMi-VSL | -0.028 | 0.122 |
NMIJ | -0.040 | 0.059 |
NRCCRM | 0.040 | 0.109 |
SMU | -0.225 | 0.094 |
KRISS | -0.015 | 0.034 |
PTB | 0.026 | 0.067 |
METAS | -0.026 | 0.074 |
BNM-LNE | -0.282 | 0.301 |
VNIIM | 0.293 | 0.181 |
NPL | 0.015 | 0.068 |
SMU | 0.014 | 0.096 |
IPQ | 0.027 | 0.112 |
CSIR-NML | -0.260 | 0.461 |
GUM | 0.005 | 0.112 |
CMI | -0.652 | 4.400 |
NMIJ | 0.01 | 0.12 |
CMS/ITRI | -0.07 | 0.05 |
CSIR-NML | 0.06 | 1.60 |
KRISS | -0.04 | 0.06 |
VNIIM | 0.01 | 0.06 |
UkrCSM | -0.11 | 0.12 |
BelGIM | -0.06 | 0.20 |
BAM | -0.04 | 0.15 |
In dark blue: laboratories participant in CCQM-K3
In green: laboratories participant in EUROMET.QM-K3 (indicated as * in "Lab j" list)
In blue: laboratories participant in APMP.QM-K3
In orange: laboratories participant in COOMET.QM-K3
Additional data: pair-wise degrees of equivalence inside APMP.QM-K3 and COOMET.QM-K3:
All results, including relative degrees of equivalence for COOMET participants, are presented under A4 printable format in Summary Results (.PDF file).
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon dioxide : ~ 135 mmol/mol
Lab i | D_{i} | U_{i} |
/(mmol/mol) | /(mmol/mol) | |
OMH | 0.15 | 0.14 |
BAM | 0.01 | 0.70 |
NIST | 0.17 | 0.24 |
NMi-VSL | 0.02 | 0.23 |
NMIJ | 0.01 | 0.13 |
NRCCRM | 0.06 | 0.47 |
SMU | 0.71 | 0.56 |
KRISS | -0.02 | 0.09 |
PTB | 0.30 | 0.18 |
METAS | -0.08 | 0.31 |
BNM-LNE | 0.28 | 0.41 |
VNIIM | -0.05 | 0.51 |
NPL | -0.08 | 0.28 |
SMU | 0.03 | 0.26 |
IMGC | -0.32 | 5.10 |
IPQ | 0.08 | 0.47 |
CSIR-NML | 0.32 | 4.34 |
GUM | 0.21 | 0.14 |
NMIJ | 0.06 | 0.25 |
CMS/ITRI | -0.07 | 0.16 |
CSIR-NML | 0.25 | 3.60 |
KRISS | -0.05 | 0.18 |
VNIIM | 0.12 | 0.13 |
UkrCSM | -0.14 | 0.22 |
BelGIM | 0.86 | 1.00 |
BAM | 0.09 | 0.41 |
In dark blue: laboratories participant in CCQM-K3
In green: laboratories participant in EUROMET.QM-K3 (indicated as * in "Lab j" list)
In blue: laboratories participant in APMP.QM-K3
In orange: laboratories participant in COOMET.QM-K3
Additional data: pair-wise degrees of equivalence inside APMP.QM-K3 and COOMET.QM-K3:
All results, including relative degrees of equivalence for COOMET participants, are presented under A4 printable format in Summary Results (.PDF file).
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Propane : ~ 2 mmol/mol
Lab i | D_{i} | U_{i} |
/(mmol/mol) | /(mmol/mol) | |
OMH | -0.0006 | 0.0034 |
BAM | 0.0091 | 0.0103 |
NIST | 0.0006 | 0.0139 |
NMi-VSL | 0.0000 | 0.0040 |
NMIJ | 0.0000 | 0.0030 |
NRCCRM | -0.0030 | 0.0071 |
SMU | 0.0022 | 0.0301 |
KRISS | 0.0013 | 0.0032 |
PTB | -0.0078 | 0.0132 |
METAS | -0.0159 | 0.0055 |
BNM-LNE | -0.0030 | 0.0046 |
VNIIM | -0.0077 | 0.0083 |
NPL | 0.0050 | 0.0066 |
SMU | 0.0044 | 0.0113 |
IMGC | -0.0740 | 0.0720 |
IPQ | 0.0002 | 0.0055 |
GUM | -0.0006 | 0.0066 |
CMI | 0.1219 | 0.1500 |
NMIJ | -0.0026 | 0.0037 |
CMS/ITRI | -0.0115 | 0.0171 |
KRISS | 0.0021 | 0.0045 |
VNIIM | 0.001 | 0.004 |
UkrCSM | -0.001 | 0.004 |
BelGIM | -0.004 | 0.020 |
BAM | 0.010 | 0.012 |
In dark blue: laboratories participant in CCQM-K3
In green: laboratories participant in EUROMET.QM-K3 (indicated as * in "Lab j" list)
In blue: laboratories participant in APMP.QM-K3
In orange: laboratories participant in COOMET.QM-K3
Additional data: pair-wise degrees of equivalence inside APMP.QM-K3 and COOMET.QM-K3:
All results, including relative degrees of equivalence for COOMET participants, are presented under A4 printable format in Summary Results (.PDF file).
Metrology area, Sub-field | Chemistry and Biology, Gases |
Description | Automotive emission gases: CO, CO_{2} and C_{3}H_{8} in N_{2} |
Time of measurements | 2000 |
Status | Approved for equivalence |
Final Reports of the comparisons | |
Measurand | Amount-of-substance fraction of CO (28 mmol/mol), CO_{2} (124 mmol/mol), C_{3}H_{8} (1.95 mmol/mol) and N_{2} balance |
Transfer device | Calibrated gas cylinders measured by gravimetry |
Comparison type | Key Comparison |
Consultative Committee | CCQM (Consultative Committee for Amount of Substance) |
Conducted by | APMP (Asia Pacific Metrology Programme) |
Comments | EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3 results are linked to those of CCQM-K3. Dates of publication:
Automotive emission gases. |
Pilot institute |
KRISS
Korea Research Institute of Standards and Science Korea, Republic of |
Contact person | Jin Seog Kim +82 42 868 5352 |
Pilot laboratory | |
---|---|
KRISS |
Korea Research Institute of Standards and Science, Korea, Republic of, APMP |
CMS/ITRI |
Industrial Technology Research Institute/Center for Measurement Standards, Chinese Taipei, APMP |
CSIR-NML |
Council for Scientific and Industrial Research, National Metrology Laboratory (became NMISA in 2007), South Africa, AFRIMETS |
NMIJ AIST |
National Metrology Institute of Japan, Japan, APMP |
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CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon monoxide : 32 mmol/mol for CCQM-K3 and EUROMET.QM-K3, 28 mmol/mol for APMP.QM-K3, and 30 mmol/mol for COOMET.QM-K3
Key comparison reference value: there is no single key comparison reference value for this comparison, the value x_{igrav} is taken as the reference value for laboratory i. |
The degree of equivalence of each laboratory i with respect to the reference value is given by a pair of terms: D_{i} = (x_{i} - x_{igrav}) and U_{i}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i} = 2(u_{i}^{2} + u_{igravR}^{2})^{1/2}. |
The degree of equivalence between two laboratories i and j is given by a pair of terms: D_{ij} =(D_{i} - D_{j}) = (x_{i} - x_{igrav}) - (x_{j} - x_{jgrav}) and U_{ij}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{ij} = 2(u_{i}^{2} + u_{j}^{2 + }u_{i}_{grav}^{2 }+ u_{jgrav}^{2})^{1/2}. |
The gravimetric value x_{igrav-EUR} is taken as the reference value for laboratory i participant in EUROMET.QM-K3. |
The degree of equivalence of laboratory i participant in EUROMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-EUR} = (x_{i-EUR} - x_{igrav-EUR}) and U_{i-EUR}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-EUR} = 2(u_{i-EUR}^{2} + u_{igravR-EUR}^{2})^{1/2}. |
The gravimetric value x_{igrav-APMP} is taken as the reference value for laboratory i participant in APMP.QM-K3. |
The degree of equivalence of laboratory i participant in APMP.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-APMP} = (x_{i-APMP} - x_{igrav-APMP}) and U_{i-APMP}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-APMP} = 2(u_{i-APMP}^{2} + u_{igravR-APMP}^{2})^{1/2}. |
The gravimetric value x_{igrav-COO} is taken as the reference value for laboratory i participant in COOMET.QM-K3. |
The degree of equivalence of laboratory i participant in COOMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-COO} = (x_{i-COO} - x_{igrav-COO}) and U_{i-COO}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-COO} = (U_{Lab i-COO}^{2} + U_{igravR-COO}^{2})^{1/2} (since uncertainties are all expanded with k = 2). Relative values, expressed in %, are also calculated. |
The regional QM-K3 key comparisons are linked to CCQM-K3 through the gravimetric values. It follows that: |
The degrees of equivalence with respect to the reference value obtained in the regional QM-K3 key comparisons are transferred to CCQM-K3 without correction: D_{i} = D_{i-RMO} and U_{i} = U_{i-RMO}, with "_{RMO}" = "_{EUR}" or "_{APMP}" or "_{COO}" according to the case. |
The degree of equivalence between two laboratories i and j, one and the other participant in any one of the four comparisons, is given by a pair of terms: |
These statements make it possible to extend the CCQM-K3 matrices of equivalence to participants in the regional QM-K3 key comparisons. In the following, not all pair-wise degrees of equivalence are explicitely computed. |
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Carbon dioxide : 135 mmol/mol for CCQM-K3, EUROMET.QM-K3 and COOMET.QM-K3, and 124 mmol/mol for APMP.QM-K3
Key comparison reference value: there is no single key comparison reference value for this comparison, the value x_{igrav} is taken as the reference value for laboratory i. |
The degree of equivalence of each laboratory i with respect to the reference value is given by a pair of terms: D_{i} = (x_{i} - x_{igrav}) and U_{i}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i} = 2(u_{i}^{2} + u_{igravR}^{2})^{1/2}. |
The degree of equivalence between two laboratories i and j is given by a pair of terms: D_{ij} =(D_{i} - D_{j}) = (x_{i} - x_{igrav}) - (x_{j} - x_{jgrav}) and U_{ij}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{ij} = 2(u_{i}^{2} + u_{j}^{2 + }u_{i}_{grav}^{2 }+ u_{jgrav}^{2})^{1/2}. |
The gravimetric value x_{igrav-EUR} is taken as the reference value for laboratory i participant in EUROMET.QM-K3. |
The degree of equivalence of laboratory i participant in EUROMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-EUR} = (x_{i-EUR} - x_{igrav-EUR}) and U_{i-EUR}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-EUR} = 2(u_{i-EUR}^{2} + u_{igravR-EUR}^{2})^{1/2}. |
The gravimetric value x_{igrav-APMP} is taken as the reference value for laboratory i participant in APMP.QM-K3. |
The degree of equivalence of laboratory i participant in APMP.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-APMP} = (x_{i-APMP} - x_{igrav-APMP}) and U_{i-APMP}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-APMP} = 2(u_{i-APMP}^{2} + u_{igravR-APMP}^{2})^{1/2}. |
The gravimetric value x_{igrav-COO} is taken as the reference value for laboratory i participant in COOMET.QM-K3. |
The degree of equivalence of laboratory i participant in COOMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-COO} = (x_{i-COO} - x_{igrav-COO}) and U_{i-COO}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-COO} = (U_{Lab i-COO}^{2} + U_{igravR-COO}^{2})^{1/2} (since uncertainties are all expanded with k = 2). Relative values, expressed in %, are also calculated. |
The regional QM-K3 key comparisons are linked to CCQM-K3 through the gravimetric values. It follows that: |
The degrees of equivalence with respect to the reference value obtained in the regional QM-K3 key comparisons are transferred to CCQM-K3 without correction: D_{i} = D_{i-RMO} and U_{i} = U_{i-RMO}, with "_{RMO}" = "_{EUR}" or "_{APMP}" or "_{COO}" according to the case. |
The degree of equivalence between two laboratories i and j, one and the other participant in any one of the four comparisons, is given by a pair of terms: |
These statements make it possible to extend the CCQM-K3 matrices of equivalence to participants in the regional QM-K3 key comparisons. In the following, not all pair-wise degrees of equivalence are explicitely computed. |
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES for Propane : 2.05 mmol/mol for CCQM-K3 and EUROMET.QM-K3, 1.95 mmol/mol for APMP.QM-K3, and 2 mmol/mol for COOMET.QM-K3
Key comparison reference value: there is no single key comparison reference value for this comparison, the value x_{igrav} is taken as the reference value for laboratory i. |
The degree of equivalence of each laboratory i with respect to the reference value is given by a pair of terms: D_{i} = (x_{i} - x_{igrav}) and U_{i}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i} = 2(u_{i}^{2} + u_{igravR}^{2})^{1/2}. |
The degree of equivalence between two laboratories i and j is given by a pair of terms: D_{ij} =(D_{i} - D_{j}) = (x_{i} - x_{igrav}) - (x_{j} - x_{jgrav}) and U_{ij}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{ij} = 2(u_{i}^{2} + u_{j}^{2 + }u_{i}_{grav}^{2 }+ u_{jgrav}^{2})^{1/2}. |
The gravimetric value x_{igrav-EUR} is taken as the reference value for laboratory i participant in EUROMET.QM-K3. |
The degree of equivalence of laboratory i participant in EUROMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-EUR} = (x_{i-EUR} - x_{igrav-EUR}) and U_{i-EUR}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-EUR} = 2(u_{i-EUR}^{2} + u_{igravR-EUR}^{2})^{1/2}. |
The gravimetric value x_{igrav-APMP} is taken as the reference value for laboratory i participant in APMP.QM-K3. |
The degree of equivalence of laboratory i participant in APMP.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-APMP} = (x_{i-APMP} - x_{igrav-APMP}) and U_{i-APMP}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-APMP} = 2(u_{i-APMP}^{2} + u_{igravR-APMP}^{2})^{1/2}. |
The gravimetric value x_{igrav-COO} is taken as the reference value for laboratory i participant in COOMET.QM-K3. |
The degree of equivalence of laboratory i participant in COOMET.QM-K3 with respect to the reference value is given by a pair of terms: D_{i-COO} = (x_{i-COO} - x_{igrav-COO}) and U_{i-COO}, its expanded uncertainty (k = 2), both expressed in mmol/mol, U_{i-COO} = (U_{Lab i-COO}^{2} + U_{igravR-COO}^{2})^{1/2} (since uncertainties are all expanded with k = 2). Relative values, expressed in %, are also calculated. |
The regional QM-K3 key comparisons are linked to CCQM-K3 through the gravimetric values. It follows that: |
The degrees of equivalence with respect to the reference value obtained in the regional QM-K3 key comparisons are transferred to CCQM-K3 without correction: D_{i} = D_{i-RMO} and U_{i} = U_{i-RMO}, with "_{RMO}" = "_{EUR}" or "_{APMP}" or "_{COO}" according to the case. |
The degree of equivalence between two laboratories i and j, one and the other participant in any one of the four comparisons, is given by a pair of terms: |
These statements make it possible to extend the CCQM-K3 matrices of equivalence to participants in the regional QM-K3 key comparisons. In the following, not all pair-wise degrees of equivalence are explicitely computed. |
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES : |
Carbon monoxide |
32 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2.05 mmol/mol | |
Nitrogen |
Balance |
x_{i} : result of measurement carried out by laboratory i
u_{i} : combined standard uncertainty of x_{i}
x_{i}_{grav} : gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR} : combined standard uncertainty of x_{i}_{grav}u_{i}_{gravR} = (u_{i}_{grav}^{2} + u_{i}_{ver}^{2})^{1/2}, where u_{igrav} and u_{iver} are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav} = 0.0002 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon monoxide,
u_{igrav} = 0.00003 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon dioxide, and
u_{igrav} = 0.00012 . x_{igrav} and u_{iver} = 0.00056 . x_{igrav}, both in mmol/mol, for Propane.
NOMINAL VALUES : 32 mmol/mol 135 mmol/mol 2.05 mmol/mol Balance
Carbon monoxide
Carbon dioxide
Propane
Nitrogen
x_{i}_{-EUR}_{ }: result of measurement carried out by laboratory i
u_{i}_{-EUR}_{ }: combined standard uncertainty of x_{i}_{}-EUR
x_{i}_{grav-EUR}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-EUR}_{ }: combined standard uncertainty of x_{i}_{grav-EUR}
u _{i}_{gravR-EUR} = (u_{igrav-EUR}^{2} + u_{i}_{ver-EUR}^{2})^{1/2}, where u_{i}_{grav-EUR }and u_{i}_{ver-EUR }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav-EUR }= 0.0002 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR}_{} , both in mmol/mol, for Carbon monoxide,
u_{igrav-EUR }= 0.00003 . x_{i}_{grav-EUR}_{} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR} , both in mmol/mol, for Carbon dioxide, and
u_{igrav-EUR }= 0.00012 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.00056 . x_{i}_{grav-EUR} , both in mmol/mol, for Propane.
NOMINAL VALUES : |
Carbon monoxide |
28 mmol/mol |
Carbon dioxide |
124 mmol/mol | |
Propane |
1.95 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-APMP}_{ }: result of measurement carried out by laboratory i
u_{i}_{-APMP}_{ }: combined standard uncertainty of x_{i}_{}-APMP
x_{i}_{grav-APMP}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-APMP}_{ }: combined standard uncertainty of x_{i}_{grav-APMP}
u_{i}_{gravR-APMP} = (u_{igrav-APMP}^{2} + u_{i}_{ver-APMP}^{2})^{1/2}, where u_{i}_{grav-APMP }and
u_{i}_{ver-APMP }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.
The relative expanded uncertainty (k=2) linked to the verification process is estimated to be equal to 0.10%.
NOMINAL VALUES : |
Carbon monoxide |
30 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-COO}_{ }: result of measurement carried out by laboratory i
U_{Lab i-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{}-COO
x_{i}_{grav-COO}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
U_{i}_{gravR-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{grav-COO}
U_{i}_{gravR-COO} / 2 = (u_{igrav-COO}^{2} + u_{i}_{ver-COO}^{2})^{1/2}, where u_{i}_{grav-COO }and
u_{i}_{ver-COO }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES : |
Carbon monoxide |
32 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2.05 mmol/mol | |
Nitrogen |
Balance |
x_{i} : result of measurement carried out by laboratory i
u_{i} : combined standard uncertainty of x_{i}
x_{i}_{grav} : gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR} : combined standard uncertainty of x_{i}_{grav}u_{i}_{gravR} = (u_{i}_{grav}^{2} + u_{i}_{ver}^{2})^{1/2}, where u_{igrav} and u_{iver} are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav} = 0.0002 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon monoxide,
u_{igrav} = 0.00003 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon dioxide, and
u_{igrav} = 0.00012 . x_{igrav} and u_{iver} = 0.00056 . x_{igrav}, both in mmol/mol, for Propane.
NOMINAL VALUES : 32 mmol/mol 135 mmol/mol 2.05 mmol/mol Balance
Carbon monoxide
Carbon dioxide
Propane
Nitrogen
x_{i}_{-EUR}_{ }: result of measurement carried out by laboratory i
u_{i}_{-EUR}_{ }: combined standard uncertainty of x_{i}_{}-EUR
x_{i}_{grav-EUR}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-EUR}_{ }: combined standard uncertainty of x_{i}_{grav-EUR}
u _{i}_{gravR-EUR} = (u_{igrav-EUR}^{2} + u_{i}_{ver-EUR}^{2})^{1/2}, where u_{i}_{grav-EUR }and u_{i}_{ver-EUR }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav-EUR }= 0.0002 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR}_{} , both in mmol/mol, for Carbon monoxide,
u_{igrav-EUR }= 0.00003 . x_{i}_{grav-EUR}_{} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR} , both in mmol/mol, for Carbon dioxide, and
u_{igrav-EUR }= 0.00012 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.00056 . x_{i}_{grav-EUR} , both in mmol/mol, for Propane.
NOMINAL VALUES : |
Carbon monoxide |
28 mmol/mol |
Carbon dioxide |
124 mmol/mol | |
Propane |
1.95 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-APMP}_{ }: result of measurement carried out by laboratory i
u_{i}_{-APMP}_{ }: combined standard uncertainty of x_{i}_{}-APMP
x_{i}_{grav-APMP}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-APMP}_{ }: combined standard uncertainty of x_{i}_{grav-APMP}
u_{i}_{gravR-APMP} = (u_{igrav-APMP}^{2} + u_{i}_{ver-APMP}^{2})^{1/2}, where u_{i}_{grav-APMP }and
u_{i}_{ver-APMP }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.
The relative expanded uncertainty (k=2) linked to the verification process is estimated to be equal to 0.10%.
NOMINAL VALUES : |
Carbon monoxide |
30 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-COO}_{ }: result of measurement carried out by laboratory i
U_{Lab i-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{}-COO
x_{i}_{grav-COO}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
U_{i}_{gravR-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{grav-COO}
U_{i}_{gravR-COO} / 2 = (u_{igrav-COO}^{2} + u_{i}_{ver-COO}^{2})^{1/2}, where u_{i}_{grav-COO }and
u_{i}_{ver-COO }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.
CCQM-K3, EUROMET.QM-K3, APMP.QM-K3 and COOMET.QM-K3
MEASURAND : Amount-of-substance fraction of automotive emission gases
NOMINAL VALUES : |
Carbon monoxide |
32 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2.05 mmol/mol | |
Nitrogen |
Balance |
x_{i} : result of measurement carried out by laboratory i
u_{i} : combined standard uncertainty of x_{i}
x_{i}_{grav} : gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR} : combined standard uncertainty of x_{i}_{grav}u_{i}_{gravR} = (u_{i}_{grav}^{2} + u_{i}_{ver}^{2})^{1/2}, where u_{igrav} and u_{iver} are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav} = 0.0002 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon monoxide,
u_{igrav} = 0.00003 . x_{igrav} and u_{iver} = 0.0003 . x_{igrav}, both in mmol/mol, for Carbon dioxide, and
u_{igrav} = 0.00012 . x_{igrav} and u_{iver} = 0.00056 . x_{igrav}, both in mmol/mol, for Propane.
NOMINAL VALUES : 32 mmol/mol 135 mmol/mol 2.05 mmol/mol Balance
Carbon monoxide
Carbon dioxide
Propane
Nitrogen
x_{i}_{-EUR}_{ }: result of measurement carried out by laboratory i
u_{i}_{-EUR}_{ }: combined standard uncertainty of x_{i}_{}-EUR
x_{i}_{grav-EUR}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-EUR}_{ }: combined standard uncertainty of x_{i}_{grav-EUR}
u _{i}_{gravR-EUR} = (u_{igrav-EUR}^{2} + u_{i}_{ver-EUR}^{2})^{1/2}, where u_{i}_{grav-EUR }and u_{i}_{ver-EUR }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value, with
u_{igrav-EUR }= 0.0002 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR}_{} , both in mmol/mol, for Carbon monoxide,
u_{igrav-EUR }= 0.00003 . x_{i}_{grav-EUR}_{} and u_{i}_{ver-EUR }= 0.0003 . x_{i}_{grav-EUR} , both in mmol/mol, for Carbon dioxide, and
u_{igrav-EUR }= 0.00012 . x_{i}_{grav-EUR} and u_{i}_{ver-EUR }= 0.00056 . x_{i}_{grav-EUR} , both in mmol/mol, for Propane.
NOMINAL VALUES : |
Carbon monoxide |
28 mmol/mol |
Carbon dioxide |
124 mmol/mol | |
Propane |
1.95 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-APMP}_{ }: result of measurement carried out by laboratory i
u_{i}_{-APMP}_{ }: combined standard uncertainty of x_{i}_{}-APMP
x_{i}_{grav-APMP}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
u_{i}_{gravR-APMP}_{ }: combined standard uncertainty of x_{i}_{grav-APMP}
u_{i}_{gravR-APMP} = (u_{igrav-APMP}^{2} + u_{i}_{ver-APMP}^{2})^{1/2}, where u_{i}_{grav-APMP }and
u_{i}_{ver-APMP }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.
The relative expanded uncertainty (k=2) linked to the verification process is estimated to be equal to 0.10%.
NOMINAL VALUES : |
Carbon monoxide |
30 mmol/mol |
Carbon dioxide |
135 mmol/mol | |
Propane |
2 mmol/mol | |
Nitrogen |
Balance |
x_{i}_{-COO}_{ }: result of measurement carried out by laboratory i
U_{Lab i-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{}-COO
x_{i}_{grav-COO}_{ }: gravimetric value of the gas amount-of-substance fraction in the cylinder received by laboratory i
U_{i}_{gravR-COO}_{ }: expanded uncertainty (k = 2) of x_{i}_{grav-COO}
U_{i}_{gravR-COO} / 2 = (u_{igrav-COO}^{2} + u_{i}_{ver-COO}^{2})^{1/2}, where u_{i}_{grav-COO }and
u_{i}_{ver-COO }are respectively the combined standard uncertainties of the gravimetric production process and of the analytical verification of the gravimetric value.