Measuring the Strength of Acids - pH I love pH and Questions to answer today: science and math! What scale do we use? What does this scale measure? What does the “strength” of the acid tell us? How to calculate pH? But first, we start with earthquakes... And how they are related to pH... Wednesday, April 27, 2011 Let’s Get Ready to Rumble!!! Earthquakes are really powerful. We need a scale to measure the enormous amounts of energy released Since some earthquakes are small and some are huge, we can not use a “normal” scale. Scientists decided to use Logarithms due to ease and convenience to measure earthquakes And because logs are awesome! Let’s see what this means... Wednesday, April 27, 2011 Richter Scale - A Logarithmic Scale A 5 is ten times more energy than a 4 Every number on a log scale represents a factor of ten 7 6 5 . 4 Wednesday, April 27, 2011 3 2 1 The pH Scale pH scale : measures acidity Søren Sorensen (1868 - 1939) ACID BASE 10x10x 100x 10x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 NEUTRAL Each step on pH scale represents a factor of 10. pH 5 vs. pH 6 pH 3 vs. pH 5 pH 8 vs. pH 13 Wednesday, April 27, 2011 (10X more acidic) (100X different) (100,000X different) Acid Base pH = 7 [H+] Acidic pH = 0 Basic Neutral [H+] = [OH-] Pictures are great, but I want some math! Yeah, you did say logarithms, right? Wednesday, April 27, 2011 [OH-] pH = 14 The Math Part! Yay! Use this formula: pH = -log[H+] The log button is on your calculator. Find it, become friends. The [H+] is a fancy way of writing “the molarity of hydrogen ion.” In other words, just use the molarity of your acid. Example problem!? You mix 0.024 moles of HCl in 500mL of water. What is the pH of the solution? M = mol / L pH = -log[H+] Wednesday, April 27, 2011 M = 0.024 / 0.500 = 0.048M acid pH = -log[0.048] = 1.3 A Few Things Before We Depart ... pH does not have any units. It’s just a number. For now we are just focusing on the acid end. We will get to the base end (pOH) next week. The pH scale is not linear; it is logarithmic, which means that a pH of 3 and 6 is 1000x different. 0 is the strongest acids, 14 is the strongest bases. Remember that the formula for pH just requires the molarity of your acid and the log button! Easy! Wednesday, April 27, 2011
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