Manual of Petroleum Measurement Standards Chapter 11 ...

1 This document is not an API Standard; it is under consideration within an API technical committee but has not received all approvals required to become an API Standard. It shall not be reproduced or circulated or quoted, in whole or in part, outside of API committee activities except with the approval of the Chairman of the committee having jurisdiction. Copyright API. All rights reserved fasdf sss asdfad Manual of Petroleum Measurement Standards Chapter 11 physical properties Data Section 4 properties of Reference Materials Part 1 Density of Water and Water Volumetric Correction Factors for Water Calibration of Volumetric Provers SECOND EDITION, 2016 --``,````,,`,`,`,```,`,,,,``-`-`,,`,,`,` ,,`--- This document is not an API Standard; it is under consideration within an API technical committee but has not received all approvals required to become an API Standard.

2 It shall not be reproduced or circulated or quoted, in whole or in part, outside of API committee activities except with the approval of the Chairman of the committee having jurisdiction. Copyright API. All rights reserved fasdf sss asdfad CONTENTS Page 1 introduction .. 1 2 Scope .. 1 3 References .. 1 4 Definitions .. 1 5 Significance and Use .. 2 6 Implementation Procedures .. 2 Representative Density Values .. 2 Absolute Density of Water .. 3 Correction for Temperature on Water (CTL) .. 3 Correction for Pressure on Water (CPL) .. 4 Flowing Density ( tp) .. 4 CTDW Correction Factor for Volumetric Provers .. 5 Other Influence Factors on Water Density .. 5 7 Discrimination .. 6 8 Examples .. 6 Water Density (USC Units) .. 6 CTDW (USC Units).

3 6 Water Density (SI Units) .. 6 CTDW (SI Units) .. 6 Annex A (Informative) Representative Density Values .. 7 Annex B (Informative) Reference Standard 9 Annex C (Informative) Basis for Water Density Equation Selection .. 10 Tables 1 Significant Digits .. 6 --``,````,,`,`,`,```,`,,,,``-`-`,,`,This document is not an API Standard; it is under consideration within an API technical committee but has not received all approvals required to become an API Standard. It shall not be reproduced or circulated or quoted, in whole or in part, outside of API committee activities except with the approval of the Chairman of the committee having jurisdiction. Copyright API. All rights reserved fasdf sss asdfad Chapter 11 physical properties Data Section 4 properties of Reference Materials Part 1 Density of Water and Water Volumetric Correction Factors for Water Calibration of Volumetric Provers 1 introduction This Standard specifies the density of water equation to be used in all applicable API MPMS Standards .

4 It also specifies the volume correction factor equation for water and demonstrates its use for water calibration of provers and pycnometers. 2 Scope This Standard is applicable to all API Standards that use the density of water or its volume correction factors. 3 References The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. 1.) API MPMS Chapter 2009 (All parts), Density/Weight/Volume Intraconversions. 2.) H. Wagenbreth and H. Blanke, The Density of Water in the International System of Units and in the International Practical Temperature Scale of 1968 , Mitteilungen der Physikalish-Technischen Bunde- sanstalt (PTB Mitt), 412-415, June 1971.

5 3.) Kell, Journal of Chemical Engineering Data, 1967, 12, 66-69; ibid, 1975, 20, 97-105. 4.) N. Bignell, The Effect of Dissolved Air on the Density of Water , Metrologia, 1983, 19, 57-59. 5.) Patterson and Morris, Measurement of Absolute Water Density , Metrologia, 31, 277-288, 1994. 6.) M. Tanaka, G. Girard, R. Davis, A. Peuto and N. Bignell, Recommended table for the density of water between 0 C and 40 C based on recent experimental reports , Metrologia, 38, 301-309, 2001. 7.) W. Wagner and A Pruss, The IAPWS Formulation 1995 for the Thermodynamic properties of Ordinary Water Substance for General Scientific Use , Journal of physical and Chemical Reference Data, 31, 2, 387-535, 2002. 8.) World Health Organization, Guidelines for Drinking-water Quality, 4th Edition, 2011.

6 9.) ASTM D1193 20061, Specification for Reagent Water. 4 Definitions density, absolute The mass of a substance per unit of volume at a specified temperature and pressure. NOTE 1 Absolute density is sometimes referred to as true density , density , mass density or as density in vacuo. NOTE 2 When reporting density, the reference conditions must be stated. In practice, the pressure, if not explicitly stated, is assumed to be standard pressure. 1 ASTM International, 100 Barr Harbor Drive, West Conshohocken, Pennsylvania 19428, correction for temperature on liquid CTL Volume correction for the effect of temperature on the density of a liquid. NOTE The CTL is defined as the ratio of the absolute density at specified temperature and reference pressure divided by the absolute density at reference temperature and pressure.

7 Correction for pressure on liquid CPL Volume correction for the compressibility effect of pressure on the density of a liquid. correction for temperature and pressure on liquid CTPL Volume correction for the effect of temperature and pressure on the density of a liquid (CTPL = CTL CPL). 5 Significance and Use A prior standard (API MPMS , 1984), which the first edition of this Standard replaced, was based on the internationally accepted work of Wagenbreth and Blanke, which produced a density of kg/m3 at C (60 F) and kPa ( psia). In 1994, Patterson and Morris published a paper proposing a new equation based on their laboratory data of VSMOW (see Annex B), which was accepted by the USA s National Institute of Standards and Technology (NIST).

8 This Standard, based on the Patterson and Morris work, is applicable between 1 C and 40 C ( F and 104 F), at standard pressure; kPa ( psia). This Standard also provides an equation for the compressibility of water based on a compressibility equation contained in a 2001 Tanaka paper. The range of applicability is for gauge pressures of 0 kPa to 10,000 kPa (0 psig to 1450 psig) for water temperatures between 1 C and 40 C ( F and 104 F). Specific applications include: determination of base prover volumes (BPV) determination of pycnometer base volumes (PBV) conversions between liquid density units calculation of water content based on fluid and water density 6 Implementation Procedures Representative Density Values Representative density values are presented, at standard pressure [ kPa ( psia)], for customary (USC) and International System of Units (SI) units in Annex A for calculation verification purposes.

9 Absolute Density of Water This Standard is based on the Patterson and Morris work for water density at standard pressure, which is applicable for the temperature range 1 C to 40 C ( F to 104 F). The following equation expresses the density of water, at standard pressure [ kPa ( psia)], as a function of temperature in degrees Celsius ( C): )]EDCBA(1[ 54320tttttt (1) Where: t = density at temperature t and kPa, in kg/m3 0 = density at temperature t0, 58 kg/m3 t = t t0 t = temperature, in C t0 = C A = 10-8 B = 504 10-6 C = 677 10-8 D = 894 10-10 E = 458 10-12 For temperatures in degrees Fahrenheit ( F), calculate t in the above equation using equation (2): )32F(tt (2) Where: F = temperature, in F Equation 1 produces the following results.

10 Table 1 Reference Water Densities Description Symbol SI (kg/m3) US Customary a(lb/gal) Density at 60 F ( C) w,60 19 Density at 15 C (59 F) w,15 91 Density at 20 C (68 F) w,20 43 NOTES: a. The USC values were converted to pounds per gallon by multiplying by 345 404 452 (reference MPMS Chapter ). These values may be rounded further depending upon their ultimate use. Correction for Temperature on Water (CTL) The liquid volume correction for temperature on water (CTL) with respect to a chosen reference temperature is the density at temperature t divided by the density of water at that reference temperature in consistent units of density.