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Ib Chemistry

BIOCHEMISTRY SYLLABUS STATEMENTS B.7 (Part 1)

5/2/2019

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These syllabus statements are basically the HL part of B.2.

If you're not familiar with the B.2 content, I suggest you go and refresh your memory so this post makes more sense :)

Protein Assays

Protein assays commonly use UV-vis spectroscopy and a calibration curve based on known standards.
Determination of the concentration of a protein in solution from a calibration curve using the Beer–Lambert law.

Testing for protein

A qualitative test for proteins that you've probably done before is the Biuret's test. A volume of Biuret's reagent is added to the sample to be analysed.
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The Biuret's test can be used to measure the concentration of a solution of proteins using colourimetry because of it's purple colour.

COlourimetry

Colourimetry is the determination of the concentration of a solution based on how much light it absorbs. A colourimeter can be used to measure how much light passes through the solution and can then calculate an absorbance value. This technique works for any solution as long as it's not colourless.
​FINDING THE OPTIMUM WAVELENGTH
In order to find the wavelength that is absorbed most by the solution, an absorption spectrum should be plotted. This is basically an absorbance against frequency/wavelength graph that will show how well each wavelength is absorbed. The wavelength with the highest absorption should be chosen
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​HOW IT WORKS:
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The complementary colour wheel
Coloured solutions absorb certain wavelengths of light depending on their colour. Like in topic 13.2, if a solution is a certain colour, it means that the complimentary colour of light is being absorbed by the sample. If we know how much light is absorbed by a known concentration value, we can estimate the concentration of unknown samples by comparing the amount of light it absorbs compared to the known sample.
CALIBRATION CURVES
Calibration curves are absorbance-concentration graphs that are used to compare unknown samples to. Absorbance values for samples of known concentration are taken and plotted on a graph, and a line of best fit is drawn. From this graph, any unknown concentrations can be determined by finding their absorbance values on the line of best fit and tracing back to the concentration.
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​METHODOLOGY (For finding protein concentration)
  1. Use the absorbance values of known concentrations of the protein solution to plot a calibration curve
  2. Add Biuret solution to the unknown protein sample and test absorbance in a colourimeter.
  3. Use absorbance value and line of best fit to find concentration value.
​THE BEER-LAMBERT LAW
Picture
A typical colourimetry setup. An incident beam, a cuvette of solution and a detector.
The light source will shine a beam of light through the cuvette of sample. The intensity of that light beam is measured, and given the symbol I0. The beam then passes through the sample in the cuvette, and a portion of the light is absorbed. The remaining light beam is detected at the detector, and it's intensity is given the symbol I.
​THE MATHS
In the data book, you're given the following formula:
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What they don't tell you in this formula, is that both sides equal A, the Absorbance of the solution.
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Above, I've added the absorbance to the formula and annotated the formula to show what each variable is.
​THE VARIABLES
Io
  • The intensity of the initial beam
I
  • The intensity detected after the beam has passed through the solution
A
  • The absorbance value for the solution
ε (Epsilon)
  • The molar absorptivity constant which is different for every substance 
l
  • The path length. This is how much solution the light has to travel through. In a standard colourimetry experiment standard cuvettes are used which are 1cm, so it usually cancels.
c
  • The concentration of the solution, which you're usually trying to find.

I think I'll have to split this into 3 parts...

There are 3 main parts to the B.7 syllabus statements that require quite lengthy explanations.
  1. Beer-Lambert law and colourimetry
  2. Enzyme inhibition (competitive and non-competitive)
  3. Buffer calcs for amino acids
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Biochemistry Syllabus statements B.2 (Part 2)

29/1/2019

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This part of B.2 is mainly about enzymes


Enzyme Basics

Most enzymes are proteins that act as catalysts by binding specifically to a substrate at the active site.
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Example of an enzyme
Enzymes are biological catalysts that speed up reactions within the body. Enzymes are usually complex proteins.
Some examples of enzymes are:
  • Amylase
  • Protease
  • Maltose
Enzymes have an active site where the substrate binds to and where the reaction occurs.
Picture
A simple diagram of the mechanism of an enzyme catalysed reaction. More on this later...

ENzyme models

LOCK AND KEY
The lock and key model is the most basic model of enzymes, that is shown above.
  • The enzyme is designed to work for only one substrate, for which the active site is specifically 'moulded'. The substrate is a perfect fit for the active site
INDUCED FIT
The induced fit model suggests that the enzyme plays a role in forming the shape of the active site. The intermolecular forces from the substrate help mould the shape of the active site so that the substrate fits.
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Please praise my simply incredible drawing skills

Enzyme Activity

​As enzyme activity depends on the conformation, it is sensitive to changes in temperature and pH and the presence of heavy metal ions.
EFFECTS OF PH AND TEMPERATURE ON ENZYMES
pH and temperature both have the effect of denaturing the enzyme. Denaturing just means that the active site has been damaged and can no longer function
Enzymes all have their own ranges of temperature and pH that they work at. For most enzymes, this is the temperature and pH of most organisms.
Each enzyme has a different optimum pH and temperature depending on where they operate in the body. Some examples are:
  • Amylase (in the mouth)
    • pH 6.7
    • 32-37 C
  • Catalase (in plants)
    • pH 7
    • 48C
  • Protease (in the stomach)
    • pH 1.6
    • 50C

Heavy metal ions

Heavy metal ions act as non-competitive inhibitors. This is a HL concept from B.7 so I won't include the details in this post but the long and the short of it is that it indirectly destroys the active site.

Enzyme activity

Deduction and interpretation of graphs of enzyme activity involving changes in substrate concentration, pH and temperature.
This is basically the kinetics of enzymes. The graphs you will come across here are graphs of Rate of Reaction against Substrate concentration. Because an enzyme can only work at a certain maximum rate, the graph curves off and a maximum rate of reaction is seen.
Picture
From this maximum, a 'half max' can also be calculated a bit like they do for half life in physics (and medicinal chem <3). This 'half max' is used to calculate a constant called the Michaelis constant (Km). Every enzyme has a different Michaelis constant.
A small Km value suggests that an enzyme only requires a small concentration on substrate to become saturated, and a large Km value suggests that an enzyme requires a large concentration of substrate to become saturated.
Long story short: The smaller the Michaelis constant, the 'worse' an enzyme is at catalysing reactions in that you need a lot more of it to reach the same rate of reaction compared to an enzyme with a larger Michaelis constant.

Effect of Ph and temperature (graphs)

The graph of Rate of Reaction against pH looks like a bell curve, with the largest value for the Rate of Reaction indicating the optimum pH
Picture
Enzyme activity plotted against pH for 2 different enzymes
The graph of Rate of Reaction against temperature looks different. This is because at low temperatures it does not denature unlike when the pH is low.
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Chromatography and Electrophoresis

Chromatography separation is based on different physical and chemical principles.
Explanation of the processes of paper chromatography and gel electrophoresis in amino acid and protein separation and identification.

Chromatography

Hopefully you remember this from GCSE. Chromatography is the separation of different substances based on their solubility in a solvent.
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Chromatography also doesn't necessarily need to be done using paper, it can also be done using a gel :)

Enzyme Chromatography

An unknown mixture of enzymes can be analysed using chromatography and matching up the different 'spots' from that mixture with samples of known enzymes.
The enzymes will travel at different speeds with the solvent depending on how soluble their R group is in water. Sometimes however, some enzymes will travel exactly the same distance in a solvent. In this case, chromatography is done twice along the 2 planes of the paper.
  1. A spot of the sample is put in the bottom left corner of the paper and is then placed in the first solvent.
  2. Once the 1st chromatography is finished, the paper is turned 90 degrees clockwise, and placed in a second solvent.
  3. The different spots can then be analysed based on their Rf values in both of the solvents.
Picture

Rf values

The Rf value is a ratio of the distance travelled by the solute and the distance moved by the solvent. 
Picture

Electrophoresis

Electrophoresis is another technique that can be used to separate and identify proteins and/or amino acids based on their Isoelectric point (pI). Electrophoresis uses a gel or paper soaked in a buffer solution to separate the amino acids. At the buffer pH (usually 6), some amino acids will form positive or negative ions based on their isoelectric points. These ions are then attracted to the electrodes in the electrophoresis setup.

Method

Electrophoresis can either be done using paper or a semi-firm gel. The samples to be tested are applied in the centre of a piece of paper or in a cavity in the gel. An electric field is applied over the gel or paper. Due to the electric field, the proteins and amino acids will seperate.
Picture
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Factors affecting separation

The separation of the amino acids and proteins depends on how they interact with the gel or the paper and solvent. This can be affected by:
  • The molecular weight (size) of the protein or amino acids
    • A a small, light amino acid like Lysine will interact less than a large protein like an enzyme
  • The shape of the protein or amino acid (e.g. tertiary structure)
    • This is similar to molecular weight in that a bigger protein will interact more than a small, 'streamlined' amino acid.
  • The charge/s on a protein or amino acid
    • The separation in electrophoresis is based on electric charge and the molecules attraction to the + and - of the electrophoresis setup. If the charge is bigger, the attraction will be bigger and the amino acid or protein will travel further.

Native and Denaturing electrophoresis

NATIVE ELECTROPHORESIS
  • Enzymes and proteins are in their natural form
  • Separation in electrophoresis is therefore based on their size AND shape
DENATURING ELECTROPHORESIS
  • Sample is chemically or thermally denatured
    • This is done to break the intramolecular forces 'within' the proteins so that they have not tertiary structure. The protein chains are linearized.
  • Separation in electrophoresis is therefore based on their size ONLY

That's it for B.2!

Next on my list for biochem is B.7, the HL content for enzymes!
Comment if you have any questions or suggestions!
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Biochemistry - Syllabus Statements B.2 (part 1)

21/12/2018

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B.2 Part 1 - Proteins

B.2 is quite long, so I will split the post up into 2-3 parts.


Proteins

Proteins are polymers of 2-amino acids, joined by amide links (also known as peptide bonds).
WHAT ARE PROTEINS?
Proteins are the main building blocks of human tissue. They make up muscles, skin, hair, fingernails and more less obvious things like enzymes.
WHAT'S THE CHEMISTRY?
All amino acids have a common structure, they have a carboxylic acid group, and an amine group. The 'R' group which you're hopefully familiar with from organic chemistry, determines which amino acid it is. There are 20 different naturally occurring amino acids, the simplest of which is glycine where the R group is just H. This R group be anything though.
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This diagram will be discussed more below (zwitterions), don't worry if it's confusing
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This R group vastly affects the properties of the amino acid.

Zwitter Ions

Amino acids are amphoteric and can exist as zwitterions, cations and anions.
Application of the relationships between charge, pH and isoelectric point for amino acids and proteins.
Amino acids are amphoteric because of the general structure discussed above. All amino acids have a carboxylic acid group (acidic) and an amine group (basic). This makes amino acids amphoteric because they can react with both acids and bases.
LOW PH
In a low pH situation, the amine group reacts with H+ to form a cation.
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​HIGH PH
At a high pH, the carboxylic acid group reacts with OH- to form an anion.
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ZWITTERIONS
Zwitterions (Zwitter ions) are when a molecule is both an anion and a cation at the same time. This can occur with amino acids. At a certain pH, amino acids have both a H3N+ group, and a COO- group.
Picture
The pH at which this zwitterion occurs is called the Isoelectric point (pI). Every amino acid has it's own isoelectric point, which is dependant on the R group. An acidic R group leads to a lower pI and a basic R group leads to a higher pI.
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An extra COOH group in the R group leads to a low pI
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Only a H for the R group leads to a pI of 6
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Several NH and NH2 groups in the R group leads to a high pI
At a pH higher than that of the isoelectric point, a cation will form and at a pH lower than the isoelectric point, an anion will form.

Effect of the R group on amino acid properties

Explanation of the solubilities and melting points of amino acids in terms of zwitterions.
MELTING POINT
As you will have learnt in topic 4, melting points are dependant on Intermolecular Forces (IMFs). An R group with a large amount of intermolecular forces will cause the amino acid to have a high melting point. This syllabus statement is basically a repeat of what has already been learnt in topic 4.
SOLUBILITY
Same as above. A more polar R group will be more soluble, just like you learnt in topic 4.

Protein structures

Protein structures are diverse and are described at the primary, secondary, tertiary and quaternary levels.
Description of the four levels of protein structure, including the origin and types of bonds and interactions involved.
PRIMARY STRUCTURE
This is a protein's one dimensional structure. This is just looking at the sequence of amino acids that are joined to each other.
SECONDARY STRUCTURE
This is looking at proteins on a broader level. Protein chains can fold or coil depending on intramolecular forces in the protein chain. There are two types of secondary structures that proteins can form (besides straight chain).
ALPHA HELIX
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Basically a cool looking spiral shape. This is caused by intermolecular forces between different sections of 1 chain that forces the protein into a helix shape. It's usually drawn as a ribbon so that it's helix structure is more easily seen.
BETA PLEATED SHEET
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The beta pleated sheet occurs when 2 or more chains (or parts of chains) 'line up' due to intermolecular forces and form a sheet
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TERTIARY STRUCTURE
This is an even broader look at a protein. In 1 protein, there's likely to be sections that have an alpha helix structure, and some sections with a beta sheet structure. Looking at the protein chain as a whole is looking at it's tertiary structure.
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This diagram shows the tertiary structure of this protein, which has a mixture of alpha helices and beta sheets.
QUATERNARY STRUCTURE
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An again broader view of proteins. The tertiary structure looked at only one protein chain. The quaternary structure could have multiple chains bonded together. A common example of this is haemoglobin, which has 4 protein chains bonded together.

Effect of shape on function

A protein’s three-dimensional shape determines its role in structural components or in metabolic processes.
GLOBULAR PROTEINS
Haemoglobin is an example of a globular protein. Globular proteins usually have complex tertiary and quaternary structures, and are usually somewhat spherical. Because of their complex structure, they are more heat sensitive. The protein chain in a globular protein usually has it's polar R groups exposed, and is therefore more soluble in water.
​FIBROUS PROTEINS
​Fibrous proteins have little or no tertiary or quaternary structures at all, and form long fibres. This structure makes them much 'stronger' than globular proteins. Their polar R groups are not exposed like in globular proteins, making them insoluble. Examples of fibrous proteins would be  in hair, skin and bones, where insolubility and structure are needed.


Part 2 coming soon

As in as soon as I learn it...

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Biochemistry - Syllabus statements B.1

21/12/2018

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What is Metabolism?

Metabolic reactions take place in highly controlled aqueous environments.
Metabolism is the general name given to chemical reactions that occur inside the body in order for organisms to grow, reproduce and for homeostasis to occur. These reactions are generally catalysed by enzymes, which we'll talk about later.
What the syllabus means by "Highly controlled aqueous environments" is that these reactions take place in the cytoplasms of cells, which is roughly 90% water (aqueous). The conditions in the cytoplasm is strictly controlled by homeostasis.
Things that are controlled:
 - pH (by buffers)
 - Concentrations of substances (by active transport and diffusion)
 - Temperature (sweat etc)

Anabolic and Catabolic reactions

Reactions of breakdown are called catabolism and reactions of synthesis are called anabolism.
Catabolic reactions are reactions where molecules are decomposed or 'broken down' to produce energy.
Examples:
 - Respiration (glucose to H2O + CO2)
 - Breakdown of Proteins into amino acids
 - Breakdown of Lipids into fatty acids
 - Breakdown of starch into glucose (digestion in humans)
Anabolic reactions are the opposite of catabolic reactions. They use energy to synthesise larger molecules from smaller ones.
Examples:
 - Photosynthesis (CO2 + H2O into glucose)
 - Synthesis of proteins from amino acids
 - Synthesis of glucose into starch and cellulose (growth and energy storage in plants)

Photosynthesis and (Aerobic) respiration

Photosynthesis is the synthesis of energy-rich molecules from carbon dioxide and water using light energy.
Respiration is a complex set of metabolic processes providing energy for cells.
Because this is chemistry and not biology, we only need to know the basics of this, which is some very basic biology, and the formula.
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The reactions for photosynthesis and aerobic respiration are opposites of each other. This being said, they do not occur via the same reactions. Both are complex and have a huge number of steps and intermediates.
The use of summary equations of photosynthesis and respiration to explain the potential balancing of oxygen and carbon dioxide in the atmosphere.
All this statement is saying is that because plants use carbon dioxide to do photosynthesis and produce oxygen, and we use oxygen to do respiration and produce carbon dioxide, it's a kind of equilibrium. There's no net production of oxygen or carbon dioxide, it's balanced and the concentrations of the gases in the air remains the same.

ANAEROBIC respiration

ANIMALS
Anaerobic respiration is respiration, but in the absence of oxygen. This is what happens when in animals when they don't have enough oxygen to create the amount of energy needed in that short period of time during physical activity. In this case, glucose is broken down into lactic acid to release energy.
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Once we return to normal aerobic respiration, our body metabolises (gets rid of) this acid.
PLANTS
In plants and microorganisms however, anaerobic respiration produces ethanol and carbon dioxide instead of lactic acid. Sound familiar? This is how many alcoholic drinks such as beer are brewed from yeast.
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Condensation and Hydrolysis reactions

Explanation of the difference between condensation and hydrolysis reactions.
Condensation reactions are reactions where two molecules combine together to form a larger molecule (common in organic chem) with the elimination of a small molecule which is commonly water.
Examples:
 - Amino acids forming proteins
 - Glucose forming starch (monosaccharides forming polysaccharides)

Hydrolysis reactions on the other hand, are the reverse of condensation reactions. A molecule is hydrolysed when a water molecule (often in the presence of acid or base) breaks a bond in a larger molecule to form 2 smaller molecules.
Examples:
 - Proteins forming amino acids
 - Starch forming glucose (polysaccharides forming monosaccharides)​

That's all for B.1

I'm trying out a new layout on my new posts, I'm going to try and structure my posts based on the syllabus statements. I think it helps give my posts more structure and easy readability.

let me know in the comments if this new layout is better!

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Energetics - Bond Enthalpy and measuring energy changes

24/8/2018

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This topic will be split up into seperate posts because of it's length. This post covers syllabus statements 5.1 and 5.3

What is energetics?

Energetics is basically the study of energy in a reaction I guess, the amount of energy required or produced by reactions and more. It's quite a vital part of chemistry and links to almost every other topic in IB Chemistry.

The BAsics

Just a couple of basic things that you should know before you even begin this topic.
  • Temperature is the measure of the average kinetic energy or all the particles/molecules in whatever you're measuring the temperature of
There are of course several different temperature measures. Never use Fahrenheit, it's just about the dumbest measure of temperature ever invented (sorry America). In Energetics we mainly use Kelvin because it means that we never get a negative temperature, and it's directly proportional to the average kinetic energy of the particles unlike Fahrenheit.
  • 0 K is -273 C (never forget)
  • Energy is measured in Joules
Energies are usually measured in Joules per Mole in chemistry, just because it's great to know how much energy is produced or needed per mole. Why per mole? because then we can directly relate it to other compounds or reactions without needing to do any conversions.

Awesome, lets begin!


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Acids And Bases

31/3/2018

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What is an Acid and A Base? (SL)

An acid is generally defined as a substance that dissociates to form H+ ions, and a base as a substance that dissociates to form OH- ions. There are 2 main theories you need to know for IB, Bronsted-Lowry and Lewis, but to understand these, you need to meet a new ion, the hydronium ion.
In GCSE you were lied to. Unfortunately, the H+ ion does not really exist. For it to exist, water would need to spontaneously just break apart, and that doesn't really make sense.
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It makes much more sense for the hydronium ion to exist, and the dissociation of water to look like this
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This way, it's just a collision between 2 water molecules that results in a hydrogen (proton) swapping waters.
​Now, on to our acid base theories

Bronsted - Lowry (SL)

The Bronsted-Lowry theory of Acids and Bases says that an Acid is a proton donor. Here's an example of an acid 'donating' a proton.
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Here, the HCl molecule donates its proton (hydrogen) to water to become Cl-.
A base is defined as a proton acceptor in the Bronsted Lowry theory of acids and bases. Here, NH3 accepts a proton from water to form NH4+ and OH-
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Lewis (HL)

The Lewis theory of acids and bases defines an acid as an electron pair acceptor, and a base as an electron pair donor. There are a couple of examples of this but they're annoyingly complicated and confusing (mostly because I haven't learnt bonding yet) so I'm going to leave them out because I suggest you just memorise those definitions.

The pH Scale (SL)

pH stands for 'power of hydrogen', and is calculated using only the concentration of H3O+ ions. It is a logarithmic scale, the pH is the number you raise 10 to to get the H3O+ concentration, with the opposite sign. This sounds complicated but it's actually quite simple, to get the H3O+ concentration, just raise 10 to the negative of the pH. If the pH is 3 then the H3O+ concentration is 10 to the power of -3 mol/dm^3
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And yes, there is a formula for it

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Strong and weak acids and bases (SL)

In Chemistry (the superior science), there are such things as strong and weak acids. Strong and weak often get confused with concentrated and dilute - they are NOT the same thing!!! While concentrated and dilute relate to the amount of your acid or base in a certain amount of water, strong and weak relate to the extent of dissociation of acids and bases in water.

A strong acid or base fully dissociates in water
A weak acid or base does not fully dissociate in water

The following is an example of a strong acid. Here, H+ is used to simplify the equation.
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​Hydrochloric acid is a strong acid as it fully dissociates into H+ (H3O+) and Cl- in water, as can be seen by the use of the arrow in the equation, suggesting that the equation goes to completion.
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Ammonia is a weak acid because it doesn't fully dissociate, as can be seen by the equilibrium, showing that the reaction never goes to completion.

How can we tell the difference between strong and weak acids and bases of the same concentration? (SL)

Here's a situation. Let's say you add 1 mole of substance X into water, and substance X fully dissociates in water to form a strong acid. The amount of H3O+ ions in the water once it is all dissolved will be 1 mole. Now imagine you dissolve 1 mole of substance Y into water, and substance Y doesn't fully dissociate in water and forms a weak acid. What will the amount of H3O+ ions in water be? It will definately be less than 1 mole (in fact, the amount is different for every weak acid).
From this, we can figure out some ways to distinguish between them. The concentration of H3O+ ions is related to pH, the more H3O+ ions the lower the pH. So one way to distinguish between a weak and a strong acid is to test the pH with a pH meter or an indicator (usually universal indicator).
​
We can deduce even more ways from this. How does pH affect rate of reaction? The further away the pH is from 7, the faster the reaction will take place. So another way to distinguish between them would be to add a metal to each and see which would react quicker.

Another way? Yep! As we discussed before, a strong acid dissociates fully while a weak acid doesn't. How does this affect the amount of ions in each solution? The strong acid will have more right? Great! there's a way we can measure that - with a conductivity meter!

Oh No, what are conjugate acids and bases? It sounds complicated and scary (SL)

They're not too bad. They come in pairs, each acid has a conjugate base and each base has a conjugate acid. These pairs always differ from each other by a proton.
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In this reaction of HCl with water, there are 2 conjugate pairs, and as I said earlier, they differ only by a proton.

Relative strengths of conjugate acids and bases (SL)

Again using HCl as an example, let's have a look at the relative strengths of conjugate pairs
​
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Water is a much stronger base than the chloride ion, meaning it has a much higher tendency to accept a proton. This can also be described as the water molecule having a much stronger pull on the proton than the chlorine, so when the chlorine ion and water go head to head for a proton, the water wins because it is a much stronger conjugate base. Because the water wins the fight for the proton 99.99999 times out of 100, you can see why HCl is a strong acid and why it fully dissociates. It's a different story for weak acids and bases.
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Here are the conjugate pairs in the dissociation of ammonia. When ammonia (NH3) and the OH- ion go head to head for a proton, it's not so obvious who will win, instead of ammonia winning it 99 times out of 100, it could be 60, or 50, or 40 times out of 100. This means that a weak acid never fully dissociates.

THERE'S a way to know how much dissociates (HL)

Ka (constant of dissociation of acid) and Kb (constant of dissociation of base) values tell us how much acid and base dissociate. Each acid or base has a different number - it's a bit like an equilibrium constant.

 How do they calculate the value of Ka and Kb? (HL)

There are 2 different formulas, 1 for Ka and one for Kb.
​If the chemical equation for the dissociation of your weak acid looks something like this : 
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Where HA is your acid and A- is your conjugate base, then the equation for Ka is:
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Keep in mind that the square brackets mean the concentration of, so [HA] for example means the concentration of HA.
Remember the positions of the positive and negative ions in this equation. This will help you remember where everything goes in the equation
The equation for Kb is quite similar, if the chemical equation for the dissociation of your weak base looks something like this:
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Here, B is your weak base and BH+ is the conjugate acid. The Kb equation is:
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Again take note of the position of the positive and negative ions here. They're in the same positions as the Ka formula. This is a nifty way to remember which way around they go is by remembering that the + ion goes in front, and the - ion goes on top because it applies to both rules.

Kw (SL)

Kw is the ionic product of water. Remember before we said that water dissociates in a reversible reaction like this?
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Well let's calculate the equilibrium constant for this. Products over reactions etc - we get
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Because the equilibrium lies so far to the left, and so little water is dissociated, the concentration of water changes so little that it can be ignored and taken out of the equation which gives us the following equation;
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At 298K, the concentrations of H3O+ and OH- ions are both 10 to the power of -7, so Kw is 10 to the power of -14.
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Kw will always be 10 to the power of -14 at 298K, but it changes at different temperatures. At a higher temperature, more water dissociates.

pKa, pkb and pkw (HL)

To make life easier, you can put a p in front of some of your numbers. But p isn't a constant. Let me explain. 
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pKa for example is the negative of the power you raise 10 by to get Ka. For example, if Ka is 10 to the power of negative 6, then PKa is 6. It just makes it easier to compare acid and base strengths.
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There are some really handy things you can do with these calcs, like this:
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We know from before that Kw is 10 to the negative 14, so pKw must be 14. So pKa + pKb = 14. This is so so useful. Never forget this!!!

Buffer solutions

Buffer solutions are the coolest! They're solutions that resist changes in pH. To make them you have to get a certain amount of a weak acid with a dissociation formula like this
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Still editing this part. Come back later to see if i've updated it

PH curves (HL)

So yeah here's the graph for a strong acid and strong base titration.
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Notice that the gradient of the curve before 45 and after 55 ml is very small (it's very flat). This is a way you can tell between a strong and weak acid or base.
Next let's look at a weak acid and strong base pH curve
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Now you see that the equivalence point has been shifted up, and the gradient of the graph before the equivalence point isn't as small as before (it's less flat). This is where the buffer zone is. Another thing to note is that when the weak acid has been half neutralised, pH = pKa.
There are of course different combinations of strong and weak acids and bases, and you should be able to see which is which from the pH curve. Whichever is weak will have a less steep gradient, and the equivalence point will be further from it. For example, a weak base will have the equivalence point lower than 7 (further away from base pH) and the gradient will be steeper on the base side of the equivalence point. I'm not very good at explaining so it's diagram time.
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Chemical Indicators (HL)

Here's a video I made last year explaining how they work. It's just a very simple equilibrium!

Calculations:

I'm going to make a video on how to do various calculations in this topic, and I'll put it here for you.

And I'm pretty sure that's it!

I hope this is useful, let me know in the comments if I've missed anything or anything is unclear. Sorry this is so late!
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    ​I'm a 17 year old student who has a huge passion for science!

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