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what is a mole
amount of substance is measured using a unit called the mole (mol for short) . one mole is roughly 6 x 〖10〗^23 particles (Avogradro's constant) . It doesn't matter what the particles are . They can be atoms , molecules , electrons or ions
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molar mass
molar mass , M , is the mass of one mole of something . But the main thing to remember is that molar mass is just the same as relative molecular mass M>r (or relative formula mass) . The only difference is you stick a "g mol^-1" for grams per mole on the end
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there's a formula that connects the molar mass of a substance to the number of moles of the substance that you have . it looks like this
- number of moles = mass of substance
- -----------------------
- molar mass
- you can also rearrange the formula and use it to work out either the mass of a substance or its relative molecular mass
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the concentration of a solution is
how many moles are dissolved per 1 dm^3 of solution . the units are mole dm^-3 or (M)
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here's the formula to find number of moles
- number of moles = concentration x volume
- (in cm^3)
- -----------------------------
- 1000
- or
- number of moles = concentration x volume
- (in dm^3)
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1 dm^3 is the same as
1000 cm^3 or 1 litre
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note in the exam you may be asked to combine a concentration calculation with a molar mass calculation
:)
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if temperature and pressure stay the same , one mole of gas always has the same
volume . at room temperature and pressure (r.t.p) this happens to be 24dm^3 (r.t.p. is 298 k (25 degrees centigrade) and 100kPa)
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here are the two formulas for working out the number of moles in a volume of gas - don't forget only use them for r.t.p.
- number of moles = volume in dm^3/24
- or
- number of moles = volume in cm^3/24 000
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in a real world , it's not always room temperature and pressure . the ideal gas equation lets you find the number of moles in a certain volume at any temperature and pressure
- pV = nRT
- p = pressure measured in pascals (Pa)
- V = volume measured in (m^3)
- n = number of moles
- R = gas constant whose value is given in the exam
- T = temperature measured in kelvin (K)
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you might be given pressure in in kPa (kilopascals) . to convert from kPa to Pa you
multiply by 1000
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you might be given temperature in degrees centigrade . to convert from degrees centigrade to K you
add 273
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you might be given volume in cm^3 . to convert from cm^3 to m^3 you
multiply by 10^-6
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you might be given volume in dm^3 to convert from dm^3 to m^3 you
multiply by 10^-3
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how to balance equations
balanced equations have the same number of each atom on both sides . You can only add more atoms by adding whole compounds . You do this by putting a number in front of a compound or changing one that's already there . You can't mess with formulas
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balancing ionic equations
in ionic equations only the reacting particles are included . You don't have to worry about the rest of the stuff . First you make sure that both sides have the same number of atoms - just like a normal equation . then you balance the charges by adding extra electrons
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calculating masses - you can use a balanced equation for a reaction to work out how much product you will get from a certain mass of reactant . here are the steps to follow
- 1) write out the balanced equation for the reaction
- 2) work out how many moles of the reactant you have
- 3) use the molar ratio from the balanced equation to work out the number of moles of product that will be formed from this much of reactant
- 4) calculate the mass of that many moles of product
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calculating gas volumes . here are the steps to follow
- 1) write out the balanced equation for the reaction
- 2) work out how many moles of the reactant you have
- 3) use the molar ratio from the balanced equation to work out the number of moles of product that will be formed from this much of reactant
- 4) put that number of moles into one of the gas equations
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state symbols
- state symbols are put after each compound in an equation . they tell you what state of matter things are in
- s = solid
- l = liquid
- g = gas
- aq = aqueous (solution in water)
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neutralisation
when an acid reacts with an alkali you get a salt and water
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titrations allow you to find out
exactly how much acid is needed to neutralise a quantity of alkali
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how to carry out a titration
- measure out some alkali using a pipette and put it in a flask , along with some indicator such as phenolphthalein .
- add the acid to the alkali using a burette - open the tap to run acid into the alkali a little bit at a time .
- every time you add some more acid , give the flask a swirl to make sure that the acid and the alkali are properly mixed .
- first of all do a rough titration to get an idea where the end point is . The end point of the titration is the exact point at which the indicator changes colour - at this point the amount of acid added is just enough to neutralise the alkali .
- now do an accurate titration . run the acid in to within 2cm^3 of the end point , then add the acid dropwise . If you don't notice exactly when the solution changed colour you've overshot and your result won't be accurate .
- record the amount of acid used to neutralise the alkali .
- It's best to repeat this process a few times , making sure you get the same answer each time . this will make sure your results are reliable
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the apparatus needed for a titration
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note in exam you need to be able to use the results of a titration to calculate the concentration of acids and alkalis
:)
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n the exam you also need to be able to calculate the volume of acid or alkali that you need to neutralise a solution . you'll need to use the formula
- number of moles =
- concentration x volume (in cm^3) ----------------------------- 1000
- but this time rearrange it to find volume
- volume (cm^3) = number of moles x 1000
- -----------------------------
- concentration
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the empirical formula gives
just the smallest whole number ratio of atoms in a compound
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the molecular formula gives the
actual numbers of atoms in a molecule . the molecular formula is made up of a whole number of empirical units
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if you know the empirical formula and the molecular mass of a compound , you can calculate its molecular formula just follow these steps
- 1) find the empirical mass - that's just the mass of the empirical formula
- 2) divide the molecular mass by the empirical mass . this tells you how many multiples of the empirical formula are in the molecular formula
- 3) multiply the empirical formula by that number to find the molecular formula
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calculating empirical formulas
follow these steps each time
- 1) [assume you have got 100g of the compound - you can turn the percentages into straight masses] . then you can work out how many moles of each element are in the compound by using number of moles=mass/mr
- 2) divide each number of moles by the smallest number of moles you found in step 1 . this gives you the ratio of the elements in the compound
- 3) apply the numbers from the ratio to the formula
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monoprotic acids
acids that only release one H+ from each molecule
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theoretical yield
mass of product that should be formed in a chemical reaction . it assumes no chemicals are lost in the process .
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to calculate theoretical yield you can use the masses of reactants and a balanced equation . it's a bit like calculating reacting masses - here are the steps you have to go through
- 1) work out how many moles of reactant you have
- 2) use the equation to work out how many moles of product you would expect that much reactant to make
- 3) calculate the mass of that many moles of product - and that's the theoretical yield
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for any reaction , the actual mass of the product (the actual yield) will always be ... than the theoretical yield . There are many reasons for this . For example
- less
- sometimes not all the starting chemicals react fully . And some chemicals are always lost , e.g. some solution gets left on the filter paper , or is lost between transfers between containers
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once you've found the theoretical yield and the actual yield , you can use work out the percentage yield by using the formula
- percentage yield = actual yield
- -------------- x 100
- theoretical yield
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atom economy is one way to work out
how efficient a reaction is .
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efficient reactions are better for
the environment and save the chemical industry money
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the efficiency of a reaction is often measured by
the percentage yield . This tells you how wasteful the process is - it's based on how much of the product is lost because of things like reactions not completing or looses during collection and purification
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percentage yield doesn't however measure
how wasteful the reaction itself is . A reaction that has a 100% yield could still be very wasteful if a lot of the atoms from the reactants wind up the in by-products rather than the desired product .
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atom economy is a measure of
the proportion of reactant atoms that become part of the desired product (rather than by-products) in the balanced chemical equation
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atom economy in industry
chemical companies try to use reactions that have a high atom economy , so they're not producing lots of waste , or spending money making by-products . But reactions with low atom economy may still be used if the waste products can be sold and used for something else (waste products like gases , salts and acids can often be useful reactants for other products)
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atom economy is calculated using this formula
- % atom economy
- mass of desired products
- = -------------------------------- x 100
- total mass of reactants
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to calculate the atom economy for a reaction , you just need to
add up the molecular masses of the reactants , find the molecular mass of the product your'e interested in and put them both into the formual
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any reaction where there's only one product has a % atom economy of
100
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when you calculate the masses , you should use
the number of moles of each compound that is in the balanced equation
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you should always calculate % atom economy from a
balanced equation
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