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What is a Buffer? Firstly, note that buffer is just short for buffer solution. So a buffer/buffer solution is a solution that comprises a weak acid and its conjugate base or a weak base and its conjugate acid. So the Ph of the solution changes very little when acids or bases are added to it. This is because Buffers were designed to keep a solution’s ph at a constant number. Within buffer solutions, there is a balance or equilibrium between the weak acid and its conjugate base or the weak base and its conjugate acid. Acids are represented with HA Bases are represented with A- So you see, when you add hydrogen ions (H+) to the solution, the equilibrium will move RIGHT! BUT! When you add hydroxide ions (OH-) to the solution, the equilibrium will move LEFT! So think of it as, when you see a + sign, the goes with right hand, and the – sign goes with the left hand. The Henderson-Hasselbalch equation is ph = pKa + log ([A-] / [HA]) This equation is used to find the ph of a BUFFER SOLUTION. EXAMPLE: Calculate the pH of a 0.20M CH3COOH and 0.30M CH3COONa solution. Ka = 1.8 x 10-5 Answer: 4.9 Ph = pKa + log ([A-] / [HA]) First find pka Pka = -log(ka) = 4.74 Now insert values in to formula Ph = 4.74 + log (0.20 / 0.30) Ph = 4.56 2ND EXAMPLE: What would be the pH of a 0.20M CH3COOH solution? pH = 2.72 So you wonder how to make a buffer solution as a specific ph? Well it depends of two things: The pka of the weak acid being used, And the RATIO of [] of the acid and the salt you add to the solution IT DOES NOT DEPEND OF THE CONCENTRATION OF THE BUFFER BUT RATHER THE TWO PARTS. NOTE: If the ph is LESS THAN 7, it is an acid buffer. If it is MORE THAN 7 it is a base buffer Electrochemistry So electrochemistry is the study of the electric charges that chemical reactions bring out. There are two electrochemical cells: Galvanic cells Electrolytic cells In the galvanic or voltaic cell, electricity is produced due to the chemical reaction. While in electrolytic cells, the electricity is provided to drive the chemical reaction. Electrochemistry involves the transfer of electrons and this is where redox reactions come in. We know that reduction is the gain of electrons and oxidation is the loss of electrons. Cell Potential This is just the difference between the positive metal electrode and the negative metal electrode. Okay so, when a stripe of metal, which is called an electrode is dipped in a solution of its own ions, the electrode will undergo oxidation and lose electrons, becoming an electrode cation. This will be the forward reaction. When the solution already has cations of the electrode, those cations will fill the space of the electrons. Thus, reduction is taking place and the metal is formed again. This is the reverse reaction. To know what is the cell potential difference of an electrode we use the Standard Hydrogen Electrode (SHE). When a half reaction has a + E value, that means it can lose electrons easily, however, when it have a – value, it cannot. Electrochemical Cells The most common type of Galvanic Cell is the Daniell Cell. To make a quick cell structure, you can write the shorthand cell notation. The anode is written first, then the salt bridge with two lines and the cathode next. Cell Potential and Spontaneity (Gibb’s Free Energy) The formula is: When you have a + cell potential, G.F.E is – and the reaction is spontaneous. When you have a – cell potential, G.F.E is + and the reaction is nonspontaneous. How to Calculate Gibb Free Energy from the Cell Potential First you have to find E0 and know how many moles (n) you are using. Then multiply all your values with F. The Nernst Equation G.F.E equation is for cells under standard conditions, but for those under non-standard conditions, we use the Nernst equation. If the concentrations of two electrodes are not the same that means it is under non-standard conditions and you need to use the Nernst equation. To fin Q, it is [products] / [reactions] with the numbers raised to the concentration. Once you have found everything (E, n and Q) then substitute your values and fine the non-standard cell potential of the reaction So now, if you see a question asking about calculating the equilibrium constant, this is what you do: Electrolysis In an electrolytic cell, electric current is used to drive the nonspontaneous chemical reaction. So electrolysis is when an electrode is decomposing because of the electric current passing through it. So let’s talk about the electrolysis of NaCl Electrons flow into the + part of the battery and leave through the negative part. And electrons always flow from the Anode to the Cathode. So because electrons flow from anode to cathode, the left electrode is the anode and the right electrode is the cathode. Now, the cathode is – and the anode is +. And there is an energy force that is flowing from anode to cathode. However, anions like Cl- will flow in the opposite direction of that energy force (towards the cathode) and cations like Na+ and H+ will flow towards the cathode and with the energy force. Keep in mind that chlorine gas will form at the anode because H2o has a lower cell potential. So if you have a solution of NaCl, the cl with occur first because of that higher cell potential, but if you dilute that solution with water, water will occur first because of its abundance. So now at the cathode, when Na and H+ are pulled to the negatively charged cathode, the H+ will form first because it has a higher cell potential (0) than Na (-2,71). When you’re done you have the find the net equation. So it’s all about finding which reaction is more spontaneous (or has the higher cell potential) within the cathode and the anode. Because each has two reactions happening and you have find which of those two of both anode and cathode has the higher cell potential. When a substance undergoes electrolysis Hydrolysis So hydrolysis is when the cation and/or anion reacts with water. Salt hydrolysis usually affects the Ph of a solution. Nature of Salts Now when an acid neutralizes a base, the salt is formed. Depending on the strength of the acid/base, that will affect the ph of the solution (whether is it more acidic or basic) A neutral solution is STRONG ACID + STRONG BASE An acidic solution is STRONG ACID + WEAK BASE A basic solution is STRONG BASE + WEAK ACID NaCl is an example of a neutral salt. Neutral salts have a ph of 7 so they have equal [] of H+ and OH- ions. There are some ions that do not react well with water to form OH- and H30 ions. Examples of these are, metal cations of group one (Li, Na, K) and cations of earth metal of group 2 (Mg, Ca, Sr, Ba) exempt Be. These are cations of strong bases. Anions could be those that are monoprotic acids such as: Cl-, Br-, NO3- and CLO4-. Basic Salts Sodium Ethanoate is the product of the reaction of a weak acid and a strong base. Kh is the hydrolysis constant. Which is the product over the reactants except water. Kh is related to Kb to Kb=Kh Remember, Kw = Ka * Kb So if Kb is = to Kh, then Kh (Kb) = Kw/Ka Acidic Salts NH4CL is an example of an acidic salt. Kh is the hydrolysis constant. Which is the product over the reactants except water. Kh is related to Ka to Ka=Kh Remember, Kw = Ka * Kb So if Ka is = to Kh, then Kh (Ka) = Kw/Kb Acid-Base Titration So when an acid and base are mixed it is called a neutralization reaction. Indicators are used to make sure that there are equal amounts of acid and base. The end point, which is after the equivalence point, is when the indicator changes colour. The equivalence point will be the point when the acid and base are equal. Now we will look at Titration curves and describe the different scenarios. If you are going to solution will be at of the strong acid) base are equal, and add a strong acid to a strong base solution, the base 14 (because it is strong) and will then drop to 0 (because The equivalence point once again, is when the acid and that be at 7. On the right of the photo the opposite occurs with the equivalence point being the same. In the case of a strong acid and weak bas, when adding a strong acid to a weak base solution, the weak base solution will be at 14 and drop rapidly due to that strong acid. Thus the equivalence point will be below 7 because of that strong acid. While on the right of the photo, we are adding a weak base to a strong acid solution. The weak base will barely cause the solution to go above 7 because it’s too weak. Now in the case of a weak acid and a strong base, the weak acid being added with barely cause the basic level of the solution to go below 7. The solution will still be more basic. The equivalence point will be above seven. While in the case on the right, when adding a strong base to an acid solution, that solution will significantly rise in terms of its basic value. So it is no long belong a ph of 7, but above that due to the strong base. Indicators Indicators’ colours change over a range of 1.5 to 2 Ph units. You must choose an indicator that will change colour at the steep part of a titration curve.