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Talanta
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Seawater pH measurements with a combination glass electrode and high
ionic strength TRIS-TRIS HCl reference bufers – An uncertainty evaluation
approach
Bárbara Anes
⁎
, Ricardo J.N. Bettencourt da Silva, Cristina Oliveira, M. Filomena Camões
Centro de Química Estrutural, Faculdade de Ciências da Universidade de Lisboa, C8 Campo Grande, 1749-016 Lisboa, Portugal
ARTICLE INFO
Keywords:
pH
Seawater
Uncertainty
Least squares regression model
Monte Carlo method
ABSTRACT
The comparison of pH measurements in seawater collected at diferent locations or occasions, is meaningful if
the same measurand (i.e. the quantity intended to be measured) is determined, if adequate measurement pro-
cedures are used, including the selection of calibrators, and if the measurement uncertainty is known. Depending
on the purpose of this evaluation, the measurement uncertainty should be smaller than a defned target value.
The measured pH should have a sound physical-chemical meaning to allow the adequate assessment of its
impacts.
In the present procedure TRIS-TRIS HCl solutions, of diferent molality ratios, prepared in artifcial seawater
with reference values estimated by primary measurements, were used to obtain proper calibrators for the pH
meter used for the analysis of seawater samples.
This work presents the uncertainty evaluation of pH measurements in seawater, performed by potentiometry
using a combination glass electrode, from the interpolation uncertainty evaluated by the Least Squares
Regression Model and by Monte Carlo Simulations of measured potentials and reference values. The uncertainty
evaluation was critically assessed.
The developed algorithms were implemented in a user-friendly MS-Excel fle available as Electronic
Supplementary Material.
Seawater pH was measured with an expanded uncertainty of 0.019 enabling discriminating diferences of pH
of two samples larger than 0.029.
1. Introduction
pH, as a master variable for the CO
2
system, is of fundamental im-
portance to the study of the oceans.
The most common and fastest way of measuring pH in routine
analysis is the classical potentiometric method that consists on mea-
surements of the electromotive force, e.m.f., of a cell, often with a
combination glass electrode selective to hydrogen ions.
The potential diference which occurs in the cell varies linearly with
pH according to the Nernst equation [1]. The relationship is achieved
through linear regression which, in case of multipoint calibration, is
given by the calibration function described by Eq. (1) [4]:
= E E k pH
a std std
(1)
where E
std
is the potential diference measured in the standard bufer
solution with the assigned pH
std
reference value, E
a
is the intercept, and
k’ is the practical slope determined by the linear regression.
The pH value of a sample, pH
(X)
, is obtained from the measured
potential diference, E
(x)
through Eq. (2):
=
k
pH
[E E ]
(X)
a (X)
(2)
To measure the pH of seawater a complex matrix with high ionic
strength of approximately 0.67moldm
−3
appropriate calibration
bufer solutions must be adopted [16,5,8]. Since the commercially
available pH bufer solutions are characterized by their low ionic
strength, I (< 0.1 mol dm
−3
) [4], hence inadequate for these specifc
measurements, appropriate calibrators have to be produced by the
analyst.
TRIS-TRIS HCl bufers have been studied for pH measurements in
seawater since 1964 and in 1973 have been proposed as primary pH
standards for oceanic pH measurements [10]. More recently, reference
https://doi.org/10.1016/j.talanta.2018.09.075
Received 6 July 2018; Received in revised form 17 September 2018; Accepted 19 September 2018
⁎
Corresponding author.
E-mail address: bvanes@fc.ul.pt (B. Anes).
Talanta 193 (2019) 118–122
Available online 29 September 2018
0039-9140/ © 2018 Elsevier B.V. All rights reserved.
T