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Chapter 5 A Matter of Concentration
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Ionic Phenomena = Things that happen to ions, which can be observed
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What is matter? STUFF! http://www.youtube.com/watch?v=tBQcpF_j5Xg
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Matter can be found in 3 states:
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http://www.youtube.com/watch?v=HAPc6JH85pM
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Matter can be categorized 5 ways!
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Matter Element Compound Pure substancesMixtures Homogeneous mixtures Suspensions Heterogeneous mixtures
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Element Substances on the periodic table Made up of identical atoms 100% copper wire (Cu)Pure gold (Au)
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More elements Chlorine gas (Cl 2 )
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Compound A substance which contains different atoms Water (H 2 O)
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Sugar (C 12 H 22 O 11 ) Salt (NaCl)
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Mixtures Contain two or more different elements or compounds, physically mixed together
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Homogenous Mixtures To the naked eye, looks like one substance (completely uniform) Salt water – looks clear like pure water
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Vinegar is a mixture of acetic acid (CH 3 COOH) and water (H 2 O) Brass – looks like a pure metal, but it’s a mixture of copper and zinc Solution = Liquid homogenous mixture
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Sterling silver – mixture of silver and copper Plumber’s solder – mixture of lead and tin
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Stainless steel – mixture of iron, carbon, chromium, and nickel Air!
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Heterogeneous Mixtures To the naked eye, it looks like it’s made of two or more substances – an obvious mixture These substances can be taken apart into their original components
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Asphalt Dirt Concrete
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The dreaded fruitcake!
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Suspensions Between homogenous and heterogenous mixtures – tiny solid bits floating around in liquid Murky water
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Tomato juice – miniscule tomato particles floating in water Strawberry milkshake
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And now, onto Solutions
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Milk is a suspension The percentage (1%, 2%, 3.25%) means that it contains that much milk fat, and the rest is water
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Most of the milk is made of water Water = solvent (what the milk fat is dissolved into) Milk fat = solute (particles dissolved into solvent) Milk in carton = solution (total volume = solvent + solute)
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Most of the milk is made of water Highest percentage = Highest concentration of milk fat
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Most of the milk is made of water The higher the percentage of milk fat (solute), the less water is needed as a solvent
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Most of the milk is made of water In 1L of 1% milk: 10ml milk fat, 990ml water In 1L of 2% milk: 20ml milk fat, 980ml water In 1L of 3.25% milk: 32.5ml milk fat, 967.5ml water
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Concentration Concentration of milk = amount of milk fat amount of milk
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Concentration Concentration of milk = amount of milk fat amount of milk
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Concentration equation Concentration (c) = Solute mass (m) solution volume (V) C = m V C g/L m g V L
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Making salt water If you add 1g of NaCl to 1 L of water, you get: C = 1 g = 1 g/L 1 L 1 g/L aqueous solution of NaCl
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Making salt water If you add 10g of NaCl to 1 L of water, you get: C = 10 g = 10 g/L 1 L 10 g/L aqueous solution of NaCl
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Making salt water If you add 10g of NaCl to 500 mL of water, you get: C = 10 g = 20 g/L 0.5 L 20 g/L aqueous solution of NaCl Remember: 1000ml = 1L
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Arrange these solutions from lowest to highest concentration Solution# grams of sugar # Litres of solution Concentration (g/L) A3 g1 L B5 g0.5 L C8 g4 L D7 g3 L
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Arrange these solutions from lowest to highest concentration Solution# grams of sugar # Litres of solution Concentration (g/L) A3 g1 L3 g/L B5 g0.5 L10 g/L C8 g4 L2 g/L D7 g3 L2.3 g/L Solution C Solution D Solution A Solution B
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Which salt solution is most concentrated? Solution# grams of salt # Litres of solution Concentration (g/L) A10 g400 ml B0.5 kg1.5 L C0.2 kg800 ml
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Which salt solution is most concentrated? Solution# grams of salt # Litres of solution Concentration (g/L) A10 g400 ml25g/L B0.5 kg1.5 L333.3g/L C0.2 kg800 ml250g/L C = m ÷ V = 10g ÷ 0.4L = 25g/L C = m ÷ V = 0.5kg ÷ 1.5L = 500g ÷ 1.5L = 333.3g/L C = m ÷ V = 0.2kg ÷ 0.8L = 200g ÷ 0.8L = 250g/L
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Different ways to say numbers of stuff 12 eggs = 1 dozen eggs A score of years = 20 years Avogadro’s number = 602, 000, 000, 000, 000, 000, 000, 000 = 6.02 x 10 23 molecules = One mole
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Mole! Quick lesson on the mole and Avogadro’s number: http://www.youtube.com/watch?v=TEl4jeETVm g
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Molar mass An element’s atomic mass (in grams) has one mole of that element’s atoms Atomic mass of Fluorine = 18.998 U Molar mass of Fluorine = 18.998g (round to 19g) = 1 mole of Fluorine atoms Symbol for mole = mol
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Molar mass An molecule’s atomic mass (in grams) has one mole of that molecule’s atoms Atomic mass of water (H 2 0) = (2 x 1.008) + 15.999 = 18.015 U Molar mass of H 2 0 = 18.015 g (round to 18 g) = 1 mole of water molecules
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The Mole equation Number of moles (n) = mass of solute (m) Molar mass (mm) n = m mm n mol m g mm g (per mol)
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How many moles of atoms are in 444g of radon (Rn)?
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Step 1. Find the atomic mass of Radon Rn 86 Radon 222.018 Atomic mass = 222.018 U
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Step 2. Make the atomic mass into grams per mole (molar mass) of Rn Rn 86 Radon 222.018 Molar mass = 222.018 g 222 g
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Step 3. Find out the number of moles using the mole equation Mass (m) = 444 g Molar mass (mm) = 222.018 g 222 g mm n = m 222 g/mol n = 444 g n = 2 moles of radon
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How many moles are in 591g of gold (Au)?
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Step 1. Find the atomic mass of Gold Au 79 Gold 196.967 Atomic mass = 196.967 U 2.4
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Step 2. Make the atomic mass into grams per mole (molar mass) of Au Au 79 Gold 196.967 Molar mass = 196.967 g 197 g 2.4
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Step 3. Find out the number of moles using the mole equation Mass (m) = 571 g Molar mass (mm) = 196.967 g 197 g mm n = m 197 g/mol n = 571 g n = 3 moles of gold
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Steps to find the number of moles of an element/compound Step 1. Find the atomic mass of the element/compound Step 2. Make the atomic mass into grams per mole (molar mass) Step 3. Find out how many moles are in the given weight of the element/compound using the mole equation
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These calculations also work with compounds!
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How many moles are in 16.3 g of magnesium bromide (MgBr 2 )?
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Step 1. Find the atomic mass of MgBr 2 Mg 12 Magnesium 24.305 Atomic mass = 24.305 + 2(79.904) = 184.113 U Br 35 Bromine 79.904 1.22.8
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Step 2. Make the atomic mass into grams per mole (molar mass) of MgBr 2 Mg 12 Magnesium 24.305 Molar mass = 184.113 g 184.1 g Br 35 Bromine 79.904 1.22.8
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Step 3. Find out the number of moles using the mole equation Mass (m) = 16.3g Molar mass (mm) = 184.113 g 184.1 g mm n = m 184.1 g/mol n = 16.3 g n = 0.089 moles of MgBr 2
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Molar concentration (Molarity) Molar concentration (C) = # moles of solute (n) volume of solution (V) C = n V C mol/L n mol V L
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A solution of 800ml contains 2 moles of NaCl. What is the molar concentration of the solution?
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There is only one step: Calculate M! V C = n = 2 mol = 2.5 mol/L = 2.5 M 0.800L
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A chemist wants to prepare a 1.25M aqueous solution of Ca(NO 3 ) 2. She has 82g of calcium nitrate. Calculate the maximum volume that the chemist can prepare.
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Molarity = Molar concentration Compound: Can use to get molar mass Mass of soluteWhat we’re looking for: Volume (L)
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Step 1. Write down what you have, and what you want We have: C = 1.25 M = 1.25 mol/L mass of solute = 82 g solute = Ca(NO 3 ) 2 We want: Volume of solution (L) = ?
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Step 2. Find the molar mass of Ca(NO 3 ) 2 N 7 Nitrogen 14.007 Molar mass = 40.078 + 2(14) + 6(16) = 164.086 g 164.1 g/mol O 8 Oxygen 15.999 3.03.5 Ca 20 Calcium 40.078 1.0 CaN 2 O 6
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Step 3. Find out the number of moles using the mole equation Mass (m) = 82 g Molar mass (mm) = 164.086 g 164.1 g mm n = m 164.1 g/mol n = 82 g n = 0.5 moles of Ca(NO 3 ) 2
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Step 4. Plug in values to calculate the volume of the solution V C = n
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Step 4. Plug in values to calculate the volume of the solution V C = n V 1.25 mol/L = 0.50 mol
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Step 4. Plug in values to calculate the volume of the solution V C = n V 1.25 mol/L = 0.50 mol cross-multiply
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Step 4. Plug in values to calculate the volume of the solution V C = n V 1.25 mol/L = 0.50 mol cross-multiply 1.25 mol/L (V) = 0.50 mol
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Step 4. Plug in values to calculate the volume of the solution V C = n V 1.25 mol/L = 0.50 mol cross-multiply 1.25 mol/L (V) = 0.50 mol 1.25 mol/L
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Step 4. Plug in values to calculate the volume of the solution V C = n V 1.25 mol/L = 0.50 mol cross-multiply 1.25 mol/L (V) = 0.50 mol 1.25 mol/L V = 0.40 L
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How to solve Molarity problems Step 1. Write down what you have, and what you want Step 2. Find the molar mass of the element/compound Step 3. Find out the number of moles using the mole equation Step 4. Plug values into the molarity equation
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What if you need another concentration than what you have? They have to dilute it themselves
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This also saves $$ – chemicals are expensive! They mostly buy the really concentrated ones
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Back to the milk example In 1L of 1% milk: 10ml milk fat, 990ml water In 1L of 2% milk: 20ml milk fat, 980ml water In 1L of 3.25% milk: 32.5ml milk fat, 967.5ml water
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If you really wanted to, you could buy 3.25% milk and add water until it had a concentration of 1% If only you knew the dilution equation...
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Dilution equation Higher Concentration sol’n (C 1 ) x Its Volume (V 1 ) Lower Concentration sol’n (C 2 ) x Its Volume (V 2 ) C 1 V 1 = C 2 V 2 C 1, C 2 mol/L V 1, V 2 L = sol’n = solution
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Using a stock solution of 17.5 mol/L, you want to prepare 500 ml of a 1.00 mol/L acetic acid solution (CH 3 COOH). What volume of stock solution will you need?
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Higher concentration solution (C 1 ) Higher concentration sol’n = stock solution Lower concentration solution (C 2 ) What we’re looking for: V 1 = Volume of C 1 Solute V 2 = Volume of C 2
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Step 1. Write down what you have, and what you want We have: C 1 = 17.5 mol/L V 2 = 500 ml = 0.5 L C 2 = 1.00 mol/L solute = CH 3 COOH We want: V 1 = ?
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Step 2. Plug values into dilution equation C 1 V 1 = C 2 V 2
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Step 2. Plug values into dilution equation C 1 V 1 = C 2 V 2 (17.5 mol/L) (V 1 ) = (1.00 mol/L) (0.5 L)
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Step 2. Plug values into dilution equation C 1 V 1 = C 2 V 2 (17.5 mol/L) (V 1 ) = (1.00 mol/L) (0.5 L) 17.5 (V 1 ) = 0.5
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Step 2. Plug values into dilution equation C 1 V 1 = C 2 V 2 (17.5 mol/L) (V 1 ) = (1.00 mol/L) (0.5 L) 17.5 (V 1 ) = 0.5 17.5
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Step 2. Plug values into dilution equation C 1 V 1 = C 2 V 2 (17.5 mol/L) (V 1 ) = (1.00 mol/L) (0.5 L) 17.5 (V 1 ) = 0.5 17.5 V 1 = 0.0286 L = 28.6 mL
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Steps to solving a dilution problem Step 1. Write down what you have, and what you want Step 2. Plug values into dilution equation
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pH scale Used to test the strength of an acid or base (Back to the)
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Acid: pH less than 7 Neutral: pH exactly 7 Base: pH more than 7
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The pH of various substances SubstancepH (approximate) Sulphuric acid (H 2 SO 4 )0 Hydrochloric acid (HCl), 0.1 M1.0 Vinegar (CH 3 COOH)2.2 Soft drinks, wine, beer3.0 Apples3.1 Black coffee5.0 Soap10.0 Household ammonia11.1 Depilatory cream12.0 Sodium hydroxide (NaOH), 0.1 M13.0
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The pH of various substances SubstancepH (approximate) Sulphuric acid (H 2 SO 4 )0 Hydrochloric acid (HCl), 0.1 M1.0 Vinegar (CH 3 COOH)2.2 Soft drinks, wine, beer3.0 Apples3.1 Black coffee5.0 Soap10.0 Household ammonia11.1 Depilatory cream12.0 Sodium hydroxide (NaOH), 0.1 M13.0
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How can HCl be only twice as acidic than vinegar? The way pH is calculated is not linear
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pH Scale – How it works The pH scale works by powers of 10. That means that an acid with pH 1 has 10 times more H + ions than pH 2. (10 times stronger acid) The left side shows how many times more H + one pH has compared to another.
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What does pH actually mean? What does it measure? pH = potential of Hydrogen = H + ion concentration of a solution (M or mol/L)
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H + ion concentration (M)Exponential notation (M)pH 1.01 x 10 0 0 0.11 x 10 -1 1 0.011 x 10 -2 2 0.0011 x 10 -3 3 0.00011 x 10 -4 4 0.000011 x 10 -5 5 0.0000011 x 10 -6 6 0.00000011 x 10 -7 7 0.000000011 x 10 -8 8 0.0000000011 x 10 -9 9 0.00000000011 x 10 -10 10 0.000000000011 x 10 -11 11 0.0000000000011 x 10 -12 12 0.00000000000011 x 10 -13 13 0.000000000000011 x 10 -14 14
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So if the pH of a solution is 2, it has an H + concentration of 1 x 10 -2 mol/L = 0.01 mol/L
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How do chemists find the actual pH of a solution? Litmus paper is not that accurate It just tells you if it’s an acid or a base
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Acid-base indicators Different substances change colour at a precise pH Used together, they can give the approximate pH of a substance
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bromophenol blue methyl red universal resazurin bromocresol purple phenolphthalein Turning point = when the indicator changes colour
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Turning Point – Methyl Red Let’s see what happens when we use Methyl Red. MR is a liquid. If we put a few drops into each beaker, we’ll see what happens. pH 0 pH 1 pH 2 pH 3 pH 4 pH 5 pH 6 pH 8 pH 9 pH 10 pH 11 pH 12 pH 13 pH 14 pH 7
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Turning Point – Methyl Red So what is the turning point of Methyl Red? pH 0 pH 1 pH 2 pH 3 pH 4 pH 5 pH 6 pH 8 pH 9 pH 10 pH 11 pH 12 pH 13 pH 14 pH 7
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Turning Point – phenolphthalein Let’s see what happens when we use phenolphthalein If we put a few drops into each beaker, we’ll see what happens. pH 0 pH 1 pH 2 pH 3 pH 4 pH 5 pH 6 pH 8 pH 9 pH 10 pH 11 pH 12 pH 13 pH 14 pH 7
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Turning Point – phenolphthalein So what is the turning point of phenolphthalein? pH 0 pH 1 pH 2 pH 3 pH 4 pH 5 pH 6 pH 8 pH 9 pH 10 pH 11 pH 12 pH 13 pH 14 pH 7
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pH paper = Universal indicator Here, the universal indicator paper is dipped in the solution and compared to the colours
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What is the pH range of this solution? IndicatorColour changeTurning point Phenol redyellow red6.4 – 8.2 Bromophenol blueyellow violet3.0 – 4.6 Indigo carmineblue yellow12.0 – 14.0 Bromothymol blueyellow blue6.0 – 7.6 This solution is yellow in phenol red, violet in bromophenol blue, blue in indigo carmine and yellow in bromothymol blue
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What is the pH range of this solution? IndicatorColour changeTurning point Phenol redyellow red6.4 – 8.2 Bromophenol blueyellow violet3.0 – 4.6 Indigo carmineblue yellow12.0 – 14.0 Bromothymol blueyellow blue6.0 – 7.6 This solution is yellow in phenol red (pH < 6.4) violet in bromophenol blue (pH > 4.6) blue in indigo carmine (pH < 12.0) and yellow in bromothymol blue (pH < 6.0) pH of solution: 4.6 – 6.0
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