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Rank the following 0.1 M salt solutions in order of increasing pH (lowest pH at the top of the list). Instructions
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Michael Go, Nate Manaloto, Ronald Reyes* *Faculty, Ateneo de Manila University; email: ron_rxn24@yahoo.com Abstract. The experiment aims to be able to construct a phase diagram of Naphthalene-Diphenylamine two-component system at constant atmospheric pressure for thermal analysis. From the phase diagram, the eutectic composition (XE) and eutectic temperature (TE) are determined and are compared with the literature value. Commercial Naphthalene is used to undergo this test, and see if it is of the same caliber as the standard Naphthalene. Keywords. Naphthalene-Biphenylamine. Eutectic point. Newton’s Law of Cooling. Thermal Arrest. Thermal Break. Introduction. In investigating the heterogeneous equilibrium between solid and liquid phases of a two- component system, a phase diagram is constructed. In constructing phase diagrams, cooling curves forms the basis for “thermal analysis”. From the phase diagram, the eutectic composition (XE) and eutectic temperature (TE) are determined. Figure 1. A Phase Diagram for a two component system in which the solids are partially miscible and the liquids are complete miscible. The binary solid-liquid diagram in Figure 1 shows the stability of different phases as a function of temperature and composition. This example (Figure
under the assumption that the solution behaves ideally: T(XA) = Tf.A. + ln(XA)RTFA^2 /dHA = TA-((1-XA) + (1-XA)^2 /2 + …) RTf.A^2 /dHA Tf.A is the freezing point of compound A, and is also shown in Figure 2. dHA is the heat of fusion for compound A and XA is the mole fraction of compound A. An analogous equation can be written for compound B. The two liquidus curves intersect at the eutectic point, C. In the absence of a phase change, the rate of change in temperature follows Newton’s Law of cooling. The Newton’s Law of cooling predicts that there is an exponential approach to the ambient temperature. A solid is formed because the rate of cooling is changed as part of the heat exchanged with the surroundings that contributes to the phase transition. During the freezing point of a pure substance, when the temperature remains constant, this is called thermal arrest. In a two-component system, as the temperature is lowered, one component begins to freeze while the other component still remains in the liquid state. In this freezing process, the liquid’s concentration mixture changes as more and more solid forms, and this consequently changes the freezing point. For this reason, the rate of cooling is not constant, but is different from the rate of cooling of the original liquid. This change in the rate of cooling is known as thermal break. When the liquid reaches a certain ratio of the two components, a thermal arrest is observed. This temperature and concentration point is also known as the eutectic point. Experimental. The binary system will be naphthalene-diphenylamine. Make two series of runs: a Naphthalene-rich series beginning with pure Naphthalene followed by successive additions of Diphenylamine to the previous run; and a Diphenylamine-rich series similarly prepared with the Naphthalene-rich series*. Heat the mixture in water bath until completely melted, and then, remove the water bath and measure the temperature periodically (e.g. every 15 seconds for the first 5 minutes, 30 seconds for the next five minutes, and every minute for the latter parts until the eutectic temperature is reached) until the system is essentially solid. Table 1. Approximate range of composition for the two-component Naphthalene-Diphenylamine mixture Approximate Range of Composition Pure A - Naphthalene: 10 g. Pure B - Diphenylamine: 10 g. Run B (g) Wt. % A Run A (g) Wt. % B 1A 0.0 100 1B 0.0 100 2A 1.5 87 2B 1.5 87 3A 2.0 74 3B 2.0 74 4A 2.5 63 4B 2.5 63 5A 3.0 51 5B 3.0 51 Results. Figure 2. The constructed phase diagram with the freezing points plotted, temperature (y-axis) and mole fraction of Naphthalene (x-axis). The best fitted curve is used and the eutectic point and temperature were determined. Eutectic composition (XE) = 0. Eutectic temperature (TE) = 21. Discussion: In the constructed phase diagram, a few changes were made. The best fitted curve was used in order to get the eutectic point. The experimental value
Figure 1. A Phase Diagram for a two component system in which the solids are partially miscible and the liquids are complete miscible. Figure 2. The constructed phase diagram with the freezing points plotted, temperature (y-axis) and mole fraction of Naphthalene (x-axis). The best fitted curve is used and the eutectic point and temperature were determined. Figure 3. A run of Diphenylamine with 3 grams of Naphthalene as impurity, the graph illustrates the thermal break and the thermal arrest.