Kinetics of Thermal Degradation of Recycled Polyvinyl Chloride Resin

The goal of this study is to find the effect of time and temperature on the thermal degradation of recycled polyvinyl chloride (PVC) resin. The isothermal rate of reaction (r) of recycled PVC resin was investigated at the following temperatures to: 100, 110, 120, 130, and 140C at period of times ranging from 10 to 50min. The result shows that the rate of reaction (r) of recycled PVC increases with increasing temperatures. The reaction rate constant (K) for temperatures ranging from 100 to 140C was doubled from 0.028– 0.056mol⋅L⋅S. The process was found to be zero order reaction at all range of temperatures 100–140C.The activation energy of the thermal weight loss was calculated at different temperatures (E/R = 2739.5K). The average enthalpy and entropy of reaction at temperature of 298K were determined.


Introduction
Polyvinyl chloride (PVC) is one of the most commonly used thermoplastic materials with respect to the worldwide polymer consumption.At present, demand for PVC exceeds 35 million tons annually, and it is rated second only after polyethylene in consumption by volume.Currently, PVC is applied in a variety of products including packaging, medical devices, food, and also long-life applications such as pipes, window frames, cable insulation, floors coverings, and roofing sheets [1].
Previously, studies conducted on the thermal stability of the polyvinyl chloride showed that the stability of PVC resin mixed with organic tin and hydrotalcite was better than that of the PVC resin mixed with organic Tin alone [2].The degradation temperature of 1-2 wt% PVC in the presence of PE, PP, and PS was found to be 360-440 ∘ C depending on the rate of feeding [3].The HCl scavenging effect of particulate fillers such as red mud (RM), CaCO 3 , and dolomite on the thermal degradation of PVC was investigated by thermogravimetry/mass spectrometry (TG/MS) [4].Complex polymer mixtures PVC and other commodity plastics were thermally degraded at 450 in the presence of epoxy type flame retardant (ABS-Br) [5][6][7][8].The thermal behaviour of PVC/epoxidized liquid natural rubber (ELNR) and zinc soaps of rubber seed oil (RSO) and epoxidised rubber seed oil (ERSO) as stabilizers was investigated [9,10].
Moreover, activation energy for the degradation of series of solution-cast blends of polyvinyl chloride/epoxidised liquid natural rubber (ELNR) was studied and the results were 73, 41, 73, and 77.25 KJ/mol for 100/0, 70/30, 50/50, and 30/70 PVC/ELNR-20, respectively, where activation energy of 30/70 PVC/LNR was 35 kJ/mol [9].The activation energy of PVC was calculated in the mixture to give a value of 11.2 kJ/mol for a Ca/Zn-stabilised material and 29.1 kJ/mol for other materials containing a mixture of Ba/Cd and Pb stabilisers or pure Pb stabilizer [11].Oxidative degradation of rigid-PVC pellets (R-PVC) with oxygen was carried out and the apparent rate of oxidative degradation of R-PVC progressed as a zero order reaction, and the apparent activation energy was 38.5 kJ/mol [12].
The goal of this study is to know how the PVC resin is affected by different temperatures (100-140 ∘ C) and at different periods of time (10, 20,

Processing.
The following is the procedure to degrade the recycled polyvinyl chloride with temperatures and times.It was weighted of empty crucible (ceramic crucible) and crucible with recycled PVC, where the state of the recycled PVC samples was a sheet with the dimensions: 1 cm in length, 1 cm in width, and 0.2 cm in thickness.Therefore, the initial weight can be determined by the following law: where  1 = weight of the crucible with the sample of recycled PVC and  2 = weight of the empty crucible.
After that the crucible with recycled PVC samples was put in the furnace under atmospheric air to the required heating time and temperature.When degradation was completed, the recycled PVC sample was removed from the furnace and cooled to estimate the weight loss of the recycled PVC.
The above procedure was repeated for every degrading sample of recycled PVC in each temperature and time.

Results and Discussion
The kinetics of thermal degradation of PVC resin was studied at various temperatures (100-140 ∘ C) and during various times (10-50 min).The reaction rate of recycled PVC was experimentally determined using the relation [17] where Δ is the weight loss and  is the period of time during which the specimen remains in furnace, as shown in Table 1.
To calculate the order of reaction () for the recycled PVC, a plot of ln() versus ln() was done according to the following equations [18]: where  = the rate of reaction,  = concentration of no degraded material,  = the rate of reaction constant, and  = the order of reaction.Take the ln function to both sides of (3) to obtain ln () =  ln () + ln () .
Plotting ln() versus ln() according to (4) gave a straight line.The slope represents the order of reaction () while the intercept represents the rate of reaction constant (ln()), as shown in Figure 1.
The rate of the reaction equations at different temperatures (100-140 ∘ C) was obtained from Figure 1  The order of reaction of thermal degradation of recycled PVC resin was between 0.2421th and −0.539th, as shown in (5), at the range of temperatures (100-140 ∘ C).Since there is no negative order reaction and 0.2421th or 0.124th is very low, therefore the reaction is more likely to be zero order reaction and it was proved by plotting the data according to zero, first, and second order reaction equations [18] and the results were that plotting according to zero order reaction equation gave a straight line while the others gave curves, as shown in Figure 2. Therefore, it can be concluded that the order of reaction was zero order.A similar result was reported by Yoshioka et al. [12], where the reaction order of oxidative where  the weight loss at any time  and , the reaction constant.
It is also known that zero order reaction means that the thermal degradation does not depend on initial amount of polymer [18].Moreover, the rate of reaction constant increased with increasing temperatures.It may be attributed to the fact that the kinetic energy of molecules increased with increasing temperatures [18,19], as shown in Table 2 and  Figure 3.Moreover, the activation energy () can be found by the plotting of ln() versus (1/) according to the following [18] and the results were shown in Figure 3: where plotting of ln() versus (1/) according to (8) gave a straight line, whereby its slope represented the activation energy of reaction (/) while its intercept represented the preexponential factor (), as shown in Figure 3.
The activation energy of recycled PVC resin degradation was obtained from the slope of straight line in Figure 3 and it was found that the / equals 2739.5 ∘ K ( = 22.78 kJ/mol) where it is a high value.For the reason that the activation energy of degradation reaction was a high value, the reaction progress was slow [18].Similar result was reported by Jakubowicz [11], where the activation energy of PVC was found to be 11.2 and 29.1 kJ/mol for Ca/Zn-stabilised and Ba/Cd/Pb stabilisers or pure Pb stabilizer composite, respectively.Yoshioka et al. [12] reported that the activation energy of oxidative degradation of rigid-PVC pellets (R-PVC) with oxygen was found to be 38.
To calculate the average enthalpy change (Δ ∘ ) and entropy change (Δ ∘ ) for range of temperatures (100-140 ∘ C), plot ln(/) versus 1/ according to the following gives a straight line.
The transition state equation [20,21] is where  is the rate of reaction, Δ ∘ the enthalpy of activation at standard condition, Δ ∘ the entropy of activation at standard condition, ℎ Planck's constant, and  the Avogadro number, respectively.When rearranging (10) we obtained where  = /ℎ * EXP(Δ ∘ /).
From taking the (ln) function to both sides of (11), we obtained: The slope of the straight line of (12) represents Δ ∘ / and the intercept represents ln(), where  is equal to (/ℎ * EXP(Δ ∘ /)), as shown in Table 3 and Figure Therefore, from (13) the average of (Δ ∘ ) is equal to 9774.53J/moL and the the average of ln((/ℎ * EXP(Δ ∘ /)) is equal to −3.66204.

Conclusion
The study of recycled PVC degradation kinetics revealed that the rate of reaction increased with increasing temperatures.Additionally, the rate constant () of recycled PVC decomposition doubled from 0.028049 to 0.056292 mol⋅L −1 ⋅S −1 when the temperatures were changed from 100 to 140 ∘ C, respectively, and this rate constant () value is very low.Therefore, the reaction proceeds slowly at these ranges of temperatures.It was found that the order of reaction was zero order in all ranges of temperatures (100-140 ∘ C); thus the rate of degradation of recycled PVC resin was independent of the initial concentration of recycled PVC resin.The average enthalpy (Δ ∘ ) and entropy function (ln((/ℎ * EXP(Δ ∘ /)))) of decomposition were 9774.53 and −3.66204 J/mol, respectively.The activation energy of recycled PVC thermal degradation was / = 2739.5∘ K at different temperatures and it is very high.Therefore, the reaction of degradation was very slow at this range of temperatures (100-140 ∘ C).

Figure 2 :
Figure 2: Plotting according to the equation of 1st, 2nd, and zero order reaction.

4 .
As we show from Figure4, the equations of the straight line 9644, at Time = 50 min .

Table 1 :
The rate of reaction (g/min) of PVC resin at different times (min) and at different temperatures (100-140 ∘ C).