Fundamental Dimension Limits of Antennas Ensuring Proper Antenna Dimensions in Mobile Device Designs Randy Bancroft Centurion Wireless Technologies Westminster‚ Colorado Abstract–The electronics industry has historically decreased the physical dimensions of their product offerings. In the age of wireless products this drive to miniaturize continues. Antennas are critical devices that enable wireless products. Unfortunately‚ system designers often choose antenna dimensions in an ad hoc manner
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flask: a- before the beginning of the titration - after the delivery of 5 ml. of titrant b- at half-equivalence c-at equivalence d-after delivery of 23 ml. of titrant Part A) Reaction is: HNO2 + OH- NO2- + H2O Ka for Nitrous acid = 7.2E-4 Kw = Ka*Lb Kb = 1.0E-14/7.2E-4 Kb = 1.38E-11 Moles of base: (0.15)*(0.022) = 3.3E-3 moles 1:1 Ratio‚ So‚ Moles of acid = 3.3E-3 moles NaOH: (0.005)*(0.15) = 7.5E-4 moles HNO2: 3.3E-3 – 7.5E-4 = 2.55 E-3 moles Using Henderson- Hassel Balch
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European Journal of Operational Research 154 (2004) 345–362 www.elsevier.com/locate/dsw Returns to scale in different DEA models Rajiv D. Banker a‚ William W. Cooper b‚ Lawrence M. Seiford c‚ Robert M. Thrall d‚ Joe Zhu e‚* c School of Management‚ The University of Texas at Dallas‚ Richardson‚ TX 75083-0658‚ USA Graduate School of Business‚ The University of Texas at Austin‚ Austin‚ TX 78712-1174‚ USA Department of Industrial and Operations Engineering‚ University of Michigan‚ Ann Arbor‚ MI
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1. What was America’s first penny candy to be individually wrapped? Tootsie Rolls were the first individually wrapped candy and were sold for one penny each beginning in 1896. http://www.ehow.com/about_5435061_whatever-happened-penny-candy.html 2. At which fraternity at which college was the movie Animal House based? The Alpha Delta fraternity at Dartmouth College in Hanover‚ N.H.‚ is said to be the inspiration for the 1978 movie "National Lampoon’s Animal House." The house was raided by police
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For Learning Centre use only Activity 1: Simulating Dialysis (Simple Diffusion) Lab Report Review Sheet Results 1. 2. Describe two Variables that affect the rate of diffusion. The two variables that affect the rate of diffusion are: A. The size of the molecule. The larger molecule will diffuse more slowly than the smaller molecule. B. The nature of plasma membrane. If the membrane is composed of lipid portion.‚ only lipid soluble molecules can pass through while water molecules
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REPORT OUTLINE in NIHONGO ETIQUETTE: Meals in Japan traditionally begin with the phrase itadakimasu (いただきます?) (literally‚ "I humbly receive"). The phrase is similar to "bon appétit"‚ or saying grace to give thanks before a meal. It is said to express gratitude for all who played a role in preparing‚ cultivating‚ ranching or hunting the food. This also acknowledges that living organisms have given their life to human beings asDāna.[2][3] Upon finishing a meal‚ the Japanese also use the polite phrase Gochisōsama-deshita (ごちそうさまでした
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The discovery of King Tutankhamen’s tomb in the early twentieth century provided the world of archaeology with an enormous amount of information about Egyptian lifestyles. The items and artefacts that were found inside the tomb revealed the lifestyles of the Egyptian people at the time but they also exposed religious and cultural traditions that the Ancient Egyptians practised. The tomb unmasked an unknown period of Egyptian history and gave an insight to the reign of the famous King Tutankhamen
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electrolyte that has an ion in common with the weak electrolyte.” Aqueous Equilibria © 2012 Pearson Education‚ Inc. The Common-Ion Effect Calculate the fluoride ion concentration and pH of a solution that is 0.20 M in HF and 0.10 M in HCl. Ka for HF is 6.8 × 10−4. Ka = [H3O+] [F−] = 6.8 × 10−4 [HF] Aqueous Equilibria © 2012 Pearson Education‚ Inc. Dr. Ali Jabalameli 3 Chemistry102 5/7/2013 The Common-Ion Effect H3O+(aq) + F−(aq) HF(aq) + H2O(l) Because HCl‚ a strong acid‚ is also present‚ the
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x 10-4 mol/L C. 1.1 x 10-3 mol/L D. 3.3 x 10-3 mol/L 13. A solution of .15 M cyanic acid (HOCN) a weak acid has pH 2.14 at 250C.What is the acid ionization constant Ka for this acid at 250C.What is the degree of ionization of this acid in this solution? 14. Benzoic acid ‚ HC7H5O2 is a weak acid having Ka= 6.3 X 10-5 at 250C.Determine the equilibrium
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concentrations are at equilibrium): HA ↔ H+ + AAcid [HA] [H+] Chlorous acid HClO2 0.6 .077 [A-] .077 Ka 1.0 x10-2 Nitrous acid 18.6 .20 4 4.3 x10-4 Hydrocyanic acid HCN 28 7 x10-5 2 x10-4 4.9 x10-10 Phosphoric acid H3PO4 0.076 0.3 .00192 7.6 x10-3 5. The pH of a 0.115M solution of chloroacetic acid‚ ClCH2COOH‚ is measured to be 1.92. Calculate Ka for this monoprotic acid. pH = -log[H3O+] [H3O+] = 10-pH = 10-1.92 = 0.012 M HA + H2O → H3O+ + A
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