Biodiesel Blends by

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Fast determination of 2-ethylhexyl nitrate diesel/ biodiesel blends by distillation curves and chemometrics Matías Insausti, and Beatriz S Fernández Band Energy Fuels, Just Accepted Manuscript • DOI: 10.1021/acs.energyfuels.5b02995 • Publication Date (Web): 28 Jun 2016 Downloaded from http://pubs.acs.org on June 29, 2016

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Fast determination of 2-ethylhexyl nitrate diesel/biodiesel blends by

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distillation curves and chemometrics

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Matías Insausti*, Beatriz Susana Fernández Band

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Lab FIA, INQUISUR -CONICET, Departament of Chemistry, Universidad Nacional del Sur,

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Bahía Blanca, Buenos Aires, Argentina (Av. Alem 1253, B8000CPB).

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* Corresponding author. Tel.: +54 291 4595100; fax: +54 291 4595160.

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E-mail addresses: [email protected].

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Abstract A new method for the quantification of 2-EHN (2-ethylhexyl nitrate) was developed and validated.

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In order to speed up and simplify the chemical analysis of diesel samples

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throughout inspection procedures, we propose a single analytical method to

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determine 2-ethylhexyl nitrate by using distillation curves routine assay used to

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evaluate the quality of diesel (ASTM D86). This test was allied with multivariate

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calibration based on PLS (partial least-squares) regression.

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The results were comparable with reference methodology. By using

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distillation curves of commercial diesel samples results into a prediction of the

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cetane improver content with Relative Standard Deviations lower than 12% for

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all fuel samples.

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Since this correlation was established using commercial samples, the new

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approach is immediately applicable in the petrochemical industry which needs

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an adaptation to biodiesel/diesel blends.

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Keywords: Diesel/Biodiesel Blends; Distillation curves; Chemometrics; Cetane

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improver; 2-ethylhexyl nitrate.

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1. Introduction

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In order to improve the fuel properties of diesel, several kinds of chemicals

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such as nitrates, ether nitrates or nitroso compounds are added. It has been

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checked that these chemical additives produce an increasing effect on the

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cetane number, which is associated to burning of fuel in the engine. Commonly,

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the additive most used is the 2-ethylhexyl nitrate (EHN), due to the

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improvement on the combustion characteristics, shortening ignition delay and

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the start of combustion. The ignition delay period is counted from the injection

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start to the sharp rise of in-cylinder pressure. Ignition delay period of diesel

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engine is mainly influenced by physical–chemical characteristics of the fuel. A

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fuel with a high cetane number has a short ignition delay and starts to burn

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soon after it is injected in an engine [1]. The time to vaporize the fuel and mix

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with the air content in cylinder, and the time to react through free radical

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processes determine the ignition delay. Under normal conditions, if the ignition

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delay is excessively lengthy in the diesel engine, outcome unburned fuel, low

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power, and formation of particulates that increase engine noise and wear [2].

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Reported mechanisms include the decomposition of cetane improvers into

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free radicals and gas-phase catalysts such as NO2. This generated species are

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involved in the fuel-air reaction. There are also reactions which inhibit free-

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radical scavengers found in the fuel [3, 4].

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The fuel from petroleum distillation is obtained by mixing several fractions

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from the processing stages of crude oil. The ratio of these components in diesel

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is made so as to frame the normative specifications which enable good

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performance of the product, control of toxic exhaust emissions, and minimize

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wear of engines and components [5]. Distillation is a physicochemical assay

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used to measure the volatility of the sample components of a complex liquid

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mixture. The boiling range gives information on the composition, the properties,

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and the behavior of the fuel during storage and use [6]. This assay is used to

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verify the right proportions of the light and heavy fractions of fuel in order to

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attain good performance. The assay results in a matrix with samples in rows

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and the temperature reached by recovering 10, 20, 30, 40, 50, 60, 70 ,80, 85,

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90, 95% of initial fuel volume in columns, allowing the use of multivariate

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models.

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The multivariate models associated to analytical techniques are an

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advantageous alternative to predict physicochemical parameters, because they

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are easy to apply, fast, low-cost and useful for online determinations. Recent

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studies have shown the great potential of distillation curves, or a few specific

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points, for the analysis of different parameters of petroleum products [7-12],

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specific gravity [13], kinematic viscosity [14], octane numbers [15], cetane index

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[16], flash point, ethanol and biodiesel content [17]. Bruno and coworkers

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demonstrated that different additive concentrations in fuel produce modifications

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in distillation curves [18].

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The worldwide output of this nitrated additive is approximated to be about

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100,000 tons per year, is a large-scale commodity. For a long time has been

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regarded as not involving particular risks to human health. In spite of this, the

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substance shows no evidence of biodegradability in water [19], is completely

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miscible in fat and has potential for bioaccumulation and may form a film on

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water affecting the oxygen transfer.

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Decomposition products of the EHN form nitric oxides (NO and NO2), giving

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as a result an additional source of NOx. Approximately the third part of the

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nitrogen in the cetane improver goes to the exhaust as NOx in pure diesel

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combustion [20]. In diesel/biodiesel blends, owing to the lower cetane number

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(CN) of pure biodiesel (B100) [21], the addition of EHN is necessary to increase

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the CN. By considering that the percentage of biodiesel in the blends was

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increasing in recent years, the concentrations of EHN so did. Therefore, the

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determination of EHN in blends is very important in order to control the

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presence of this contaminant, which causes pollution of air and soils, dangerous

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to life [22].

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The American Standard Test Method D4046 indicates the methodology to

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establish the alkyl nitrate quantity in fuel samples. The norm includes a

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wearisome liquid-liquid extraction by using organic solvents, a derivatization

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and the spectrophotometric measure. The procedure starts with a hydrolysis in

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nitric acid solution, then the reaction with 2,4-dimethylphenol. The reaction

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product is extracted by 2,2,4-trimethylpentane followed by addition of sodium

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hydroxide. The measure is done in a spectrophotometer at 452nm. All these

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steps results in several methodology disadvantages, such as organic solvent

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consumption, large time expenditure and relatively high values of relative

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standard deviations for repeatability and reproducibility. In the literature, there

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are some alternatives by using headspace gas chromatographic/mass

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spectroscopy assay [23], a chemiluminiscence detection of a derived product

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[24] or using infrared spectrometry [25]. The developed GC/ MS and infrared

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spectrometry methods, although it avoids the problems of the standardized

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method, requires costly instruments not available in every laboratory and

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qualified operators.

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In the daily work of quality control in the automotive and petrochemistry

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industries request the development of new low cost and rapid methods for

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determining the cetane improver. Thus, the aim of this work is to propose a

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simple and rapid analytical method to predict the EHN concentration in blends

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through a chemometric model and the data obtained from the routine distillation

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curves

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2. Experimental

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Commercial diesel samples were collected within the year 2010 and 2015,

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when the Argentinean fuel policy was changing, so the biodiesel content of the

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120 diesel samples vary between 0 and 7% (v/v). In this country the biodiesel

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added to blend the petroleum diesel fuel is produced from soybean oil.

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The samples were distilled with automatic ISL AD 86 5G according to ASTM-

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D86. Distillation curves (distillation temperature vs. the recovered volume) were

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recorded as a daily routine in PETROBRAS laboratory (Bahía Blanca). This test

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is performed in all fuel laboratories, providing very important information to

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establish not only the quality of fuel but its price in the market. The distillation

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curves data are also useful for determining cetane index (ASTM D4737).

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In fuel laboratories, the EHN determination is not usually done as routine

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analysis because the ASTM Standard Method has a lot of step works which

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makes complicated, as said above.

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Therefore, the EHN content in the 120 fuel samples were measured with the

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Eraspec Diesel Fuel Analysis from Eralytics Company of PETROBRAS (Bahía

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Blanca) [26]. This instrument is a NIR/MID-FTIR interferometer which lets the

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determination of different parameters showing repeatability and reproducibility

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values comparable with ASTM Method.

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All distillation curves and EHN values were acquired in the same day that the

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samples leave the refinery to go to gas stations. This information was registered

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in the daily fuel quality reports.

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2.1. Construction of chemometric model

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The multivariate analysis was carried out using Kennard-Stone algorithm

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(KS) [27] for sample selection and Partial Least Squares (PLS) [28] for

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calibration modeling.

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From data of distillation curves and EHN contents obtained for the 120

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samples, were separated in 3 sets 60 for calibration, 30 for validation and 30 for

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prediction.

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The calibration set could be selected randomly from the whole set of 120

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samples. Nevertheless, this procedure not warrants the fairly election of the set

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over the entire sampling range. To solve this problem, the KS algorithm ensure

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the representative choice of the prediction set and guarantee the predictive

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ability of the calculated model along the whole calibration range. The PLS

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model proposes data decomposition in score and loadings (latent variables)

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matrices, and model relationships between sets of observed data. In order to

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choose the correct number of latent variables to model the distillation curve

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data, so-called validation process, were used two strategies “Test set” and

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“Cross-validation”. In the “Test set” process the calculation of the latent

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variables and scores were done using the calibration set of samples, and the

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validation was done predicting the validation set of samples. In a “Cross-

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validation” process the calibration and validation set were the same group of

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samples. In this work was used a “Full Cross-Validation Leave-One-Out”, all

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calibration-validation samples were predicted by a model calculated with the

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remainder samples of the group.

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Then, the 30 data of distillation curves selected as a prediction set were

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introduced into the calculated PLS models. Thus, the EHN concentrations can

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be obtained through the models. It worth nothing that the 30 samples of the

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prediction set were not use in any step of the process to calculate the

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chemometric models. The predicted values of EHN concentration were compared with those

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obtained experimentally with the ERASPEC instrument.

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3. Results and discussion

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Figure 1 A shows the distillation curves for different EHN concentration

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range. Three curves (an average curve of each range) were plotted in order to

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show the significant displacement of the curves, due to the presence of EHN.

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This effect can be best seen in Figure 1 B, which were plotted the mean

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centered (subtracting the mean temperature value of each recovery point).

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INSERT FIGURE 1

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The fuel additive presence retards the vaporization of lighter compounds, in

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the blend diesel fuel samples this components would be normally registered

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early in the distillation curve. An example of this effect is concentration found of

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diethyl carbonate at 10, 20 and 30% (v/v) in the work of Bruno et. al. [18].

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Another example of measure an additive through a distillation curve comes from

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the measurement of molar concentration of Tetraethyl Lead in commercial

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aviation gasoline approaching the trace concentration level [29].

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Figure 2 presents a full-cross-validation (leave-one-out) of the whole set of

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120 samples, differentiating groups of samples used in calibration, validation

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and prediction sets. Each sample was predicted using 4 latent variable of a

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model calculated with the 119 remaining samples. In this plot of predicted vs.

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reference values, is outlined as the KS algorithm separated the samples, and

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the linear behavior of the 120 samples.

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INSERT FIGURE 2

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The PLS modeling correlates the distillation curve data with the EHN content,

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giving the ability to predict additive concentration in unknown fuel samples

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assaying only with the data obtained from distillation curve test.

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Table 1 presents the analytical figures of merit of the two strategies to

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validate the chemometric models, using a full cross-validation leave-one-out

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(CV) of 90 samples (calibration and validation sets founded with KS algorithm)

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and a test set validation (using calibration set of 60 samples and 30 samples of

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the validation set chosen by KS too). Both ways of validation had comparable

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results, it can be shown with the Relative Error of Prediction (%), for CV=

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13.18% and for test set= 14.81%. However as the number of samples used in

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calibration step was higher for CV the result were little better. This result may

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indicate that larger set of samples for calibration process could improve even

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better the prediction results. For all the 3 calculated models, four latent

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variables were chosen. Also, Table 1 presents the prediction results for the

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external set of 30 samples which had not been used in the mathematical

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calculation of the chemometric models. This means that once the statistical

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relationship between distillation curve data and EHN content was obtained, the

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chemometric technique can be used from the results of the distillation curves, in

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order to calculate the concentration of the analyte.

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INSERT TABLE 1

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The limit of quantification (LOQ) was defined as the lowest amount of an

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analyte in a sample that can be determined quantitatively with convenient

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precision and accuracy. It was calculated as LOQ = 10 x S, S is the standard

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deviation of twenty prediction values for samples with 0% (v/v). The LOQ

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founded for our methods is 0.0298% (v/v). The detection limit, lower limit of

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detection (LOD), is the lowest quantity of a substance that can be distinguished

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from the absence of that substance. It was calculated as LOD = 3.28 x S. The

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LOD founded for our methods is 0.0101% (v/v). The resultant LOD and LOQ

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are comparable with those founded in the bibliography [23- 25].

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The EJCR of the regression [30] of predicted versus nominal concentrations

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in the prediction set was studied for the two calibration models. The

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corresponding plots are shown in Figure 3. All confidence regions contain the

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ideal point of unit slope and zero intercept (indicating accuracy) at 95% of

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confidence level, and the elliptic sizes obtained were comparable, suggesting

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that both chemometric methodologies shown similar predictive ability. INSERT FIGURE 3

20 21 22

4. Conclusions

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By using the distillation curve data and multivariate calibration was

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predicted efficiently the 2-ethylhexyl nitrate content, which is an important

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additive to improve cetane number. The distillation curves were obtained

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following the ASTM D86 specifications.

3

The proposed method reduces the time and costs of analysis since

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distillation assays are within the scope of laboratory analysis. The advantage of

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this quantify methodology is the use of data that is obligatorily acquire in daily

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routine analysis in every refinery. This new method avoids the need to perform

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another experimental analysis.

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The ability to relate the changing composition with distillation curves is critical

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since many quality parameters could be estimated exploiting the data recorded

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in the ASTM D86 assay.

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As the developed method is cheap and do not use any organic compound

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can be proposed like an alternative to the established standard method of EHN

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determination.

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The refineries and petrochemical industries (where EHN has to be

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determined) could benefit of taking advantage of the present method.

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Commonly, adding biodiesel to diesel produces a decrease of the cetane

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number, thus, the improver is added. The new determining method could be

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helpful in adapting out of date laboratories to test biodiesel/diesel blends.

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20

Acknowledgements

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The authors acknowledge the support of CONICET (research funds).

22 23

References

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Table 1. Analytical performance of PLS models to predict the different set of samples. All samples

Validation set

Prediction set

CV

CV

Test set

CV

Test set

120

90

30

30

30

Slope

0.9478

0.9489

0.8207

0.9654

0.9045

Offset

0.0090

0.0089

0.0256

0.0059

0.0212

Correlation

0.9730

0.9736

0.9720

0.9701

0.9717

R-square

0.9476

0.9490

0.9216

0.9404

0.9374

RMSE*

0.0186

0.0189

0.0200

0.0178

0.0200

SE**

0.0187

0.0190

0.0193

0.0183

0.0195

Bias

0.00046

Samples

-0.00005 0.00599 0.00026 0.00572

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*RMSE: Root Mean Squared Error, [% EHN (v/v)].

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**SE: Standard Error, [% EHN (v/v)].

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Energy & Fuels

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Figure captions

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Figure 1. (●) 0.03-0.12% EHN (v/v), (▲)0.12-0.2% EHN (v/v), (■)0.21-0.3%

3

EHN (v/v). A) Distillation curves data. B) Behavior of distillation curves mean

4

centered.

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Figure 2. Cross validation prediction versus reference value.

6

Figure 3. Elliptical joint regions (at 95% confidence level) for the slope and

7

intercept of the regression of Test set model (solid line) and CV model (dashed

8

line) results. Black cross marks the theoretical (intercept = 0, slope = 1) point.

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16 ACS Paragon Plus Environment

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Energy & Fuels

Figure 1. (■) 0.3-0.21% EHN (v/v), (▲) 0.2 -0.12% EHN (v/v), (●) 0.12-0.03 % EHN (v/v). A) Distillation curves data. B) Behavior of distillation curves mean centered.

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Figure 2. Cross validation prediction versus reference value. 259x168mm (96 x 96 DPI)

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Page 19 of 19

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Energy & Fuels

Figure 3. Elliptical joint regions (at 95% confidence level) for the slope and intercept of the regression of Test set model (solid line) and CV model (dashed line) results. Black cross marks the theoretical (intercept = 0, slope = 1) point. 179x129mm (96 x 96 DPI)

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