acids and alkalis

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acids and alkalis

  • An alkali is a soluble base

 

  • The amount of hydrogen ion makes something less or more acidic H+ a hydrogen ion is known as 1 proton

 

  • OH- ion is found in alkali

 

  • All bases are alkali but not all alkali are bases
  • Indicators are substances that change color when they are added to acidic or alkaline solutions. 

 

  • pH indicators are weak acids that exist as natural dyes and indicate the concentration of ions in a solution via color change.

 

  • The lower the pH value, the higher concentration of Hions in the solution, and the stronger the acid.

 

  •  the higher the pH value, the lower the concentration of H+ ions in the solution and the weaker the acid.

 

  • The color change of a pH indicator is caused by the dissociation of the H+ ion from the indicator itself. Recall that pH indicators are not only natural dyes but also weak acids. The dissociation of the weak acid indicator causes the solution to change color. 
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indicators

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neutralisation

  • When acid and alkali react to each other they neutralize forming a salt 
  • acid + base --> salt + water
  • Water is formed because the oxygen and hydrogen from the alkali reacts with the hydrogen from the acid to produce the molecules of water

    titration

    titration is to determine the volumes of acid and alkali that must be mixed to obtain a solution containing only salt and water.

    method 

    1. Use the pipette and pipette filler to add a measured volume of sodium hydroxide solution to a clean conical flask.

    2.Add a few drops of indicator and put the conical flask on a white tile.

    3.Fill the burette with hydrochloric acid and note the starting volume.

    4.Slowly add the acid from the burette to the alkali in the conical flask, swirling to mix.

    5.Stop adding the acid when the end-point is reached (when the indicator first permanently changes color). Note the final volume reading.

    6.Repeat steps 1 to 5 until concordant titers are obtained. More accurate results are obtained if acid is added drop by drop near to the end-point.

    7. heat over a water bath 

    a pipette to accurately measure the volume of a reactant before transferring it to a conical flask

    a burette to add small, measured volumes of one reactant to the other reactants

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proton donors and acceptors

  • Acids are Proton Donors
  • Bases are Proton Acceptors
  • For a reaction to be in equilibrium a transfer of electrons needs to occur.
  • The acid will give an electron away and the base will receive the electron donates a hydrogen ion when it reacts
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salts form metals

Reactions between metals and acids can only occur when the metal is more reactive than the hydrogen In the acid

The metal displaces hydrogen from the acid

When the metal reacts with an acid, hydrogen is produced - you see bubbles

Splint over hydrogen = squeaky pop

Eg .Metal + acid --> salt + hydrogen

MASH

Iron + hydrochloric acid --> iron chloride + hydrogen

Fe + HCL --> FeCl2 + H2

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preparation of copper sulfate

Filtrate is light blue

Heat acid -  it speeds up the reaction

Dissolve copper oxide in excess in dilute sulfuric acid - to make sure all of the acid has reacted - you know because you can see black solid at the bottom of the beaker

Filter- to remove the unreacted copper oxide - if not filtered the crystals wont be pure and be black

Heat over water bath - which limits the temperature and evaporates it slowly - safer

Crystalise salt:

Heat filtrate over a water bath

Until crystals appear on a glass rod

Leave the solution to cool/crystalize

Filter (to remove crystals)

Dry the crystals on  a paper towel

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the preparation of lead sulfate

Lead nitrate + sodium sulfate --> lead sulfate + sodium nitrate

Pb(NO3)2 +Na2SO4 --> PbSO4 + NaNO3

Mix the two substances --

Filter

Wash - to remove impurities

Transfer to warm oven

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