PG lab - Adam Romman Viscosity Measurements of Polymers and...

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Adam Romman Viscosity Measurements of Polymers and Gases 7/01/2007 Data Analysis 1) Q test for Z739 calibration: |(suspect) – (closest)| / [(highest) – (lowest)] Q = |263.25 – 258.2| / |263.25 – 257.47| = 0.87 > 0.74 This point may be discarded. Italicized points were discarded because of the Q test. Boxed points were excluded because the viscometer because there was a clog in the viscometer for these points. Calibration - flow time of ultra pure water (s) Z739 visc Z71 visc 263.25 243.44 257.97 242.04 257.47 242.33 258.2 Z739 visc Z71 visc Avg (s) 257.88 242.60 St Dev 0.4 0.2 Flow times of polymer solution (s) uncleaved - Z739 vicscometer cleaved - Z71 viscometer 2 g/L 4 g/L 8 g/L 2 g/L 4 g/L 8 g/L 274.16 293.75 364.96 246.69 250.13 264.62 274.93 404.56 328.38 247 250.58 269.12 274.77 358.75 330.42 247.11 250.91 265.72 384.81 264.37 296.32 295.78 uncleaved - Z739 vicscometer cleaved - Z71 viscometer 2 g/L 4 g/L 8 g/L 2 g/L 4 g/L 8 g/L Avg (s) 274.62 295.28 329.40 246.93 250.54 265.96 St Dev 0.4 1.4 20.6 0.2 0.4 2.2 Flow times of gases (s) dry air CO2 He N2 45.63 41.34 51.06 46.84 45.17 39.38 52.62 47.87 45.9 39.87 52.13 47.25 Avg (s) 45.57 40.20 51.94 47.32 St Dev 0.4 1.0 0.8 0.5
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2) There is no need for interpolation since the water bath temperature is exactly 26.0°C. From literature value bath temp (°C) 26 density water (g/mL) 0.997 η (cP) 0.8705 3) η = B * t * density B = η / (t * density) B = is the viscometer constant (cP mL s^-1 g^-1) t = time in seconds η = viscosity (cP) density units are in g/mL example with Z739 B = 0.8705 / (257.88 * 0.997) = 3.386E-03 B (cP mL s^-1 g^-1) Z739 visc 3.386E-03 Z71 visc 3.599E-03 4) η sp = 1 - o η η η sp = specific viscosity η 0 = viscosity of pure solvent (ultra pure water) example with 2 g/L uncleaved polymer solution: η sp = (0.9270/0.8705) – 1 = 0.0649 uncleaved - Z739 viscometer cleaved - Z71 viscometer 2 g/L 4 g/L 8 g/L 2 g/L 4 g/L 8 g/L η (cP) 0.9270 0.9968 1.1119 0.8860 0.8990 0.9543 η (specific) 0.0649 0.1450 0.2773 0.0178 0.0327 0.0963 5) example with 2 g/L uncleaved polymer solution: concentration (g/100mL) = 2 g/ L * (1L / 10*(100mL)) = 0.2 g 100 mL η sp / c = 0.0649 / 0.2 = 0.3246 (1/c)ln(η / η0) = (1/0.2) * ln(0.9270/0.8705) = 0.3145
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uncleaved - Z739 viscometer cleaved - Z71 viscometer conc (g/100mL) 0.2 0.4 0.8 0.2 0.4 0.8 η(sp) / conc 0.3246 0.3626 0.3467 0.0892 0.0818 0.1203 (1/c)ln(η / η0) 0.3145 0.3386 0.3060 0.0885 0.0805 0.1149 Uncleaved Polymer y = -0.0238x + 0.3308 R 2 = 0.1844 y = 0.0259x + 0.3325 R 2 = 0.1714 0.3 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Concentration (g/100 mL) 100 mL / Nsp/c (1/c)*ln(N/No) Linear ((1/c)*ln(N/No)) Linear (Nsp/c) Figure 1. This is a graph showing concentration c vs. η sp / c and (1/c)ln(η / η0) vs c for the uncleaved polymer solution.
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