topic 3-quantitative chemistry

relative formula mass

percentage mass of an element in a compound= Ar x number of atoms of that element/ Mr of compound x 100

example:
find % mass of sodium in sodium carbonate, Na2CO3...
Ar of Na= 23
Ar of carbon= 12
Ar of oxygen= 16
Mr of Na2CO3= (2x23)+12+(3x16)=106
23x2/106x100= 43%

the mole

number of moles= mass in g/ Mr

example:
how many moles are there in 66g of CO2?
Mr of CO2= 12+(16x2)=44
66/44= 1.5 mol

conservation of mass

during a chemical reaction no atoms are destroyed and no atoms are created

the are the same number of atoms and types of atoms on each side of the reaction equation

no mass is gained or lost- is conserved

if mass seems to change there's a gas produced

the mole and equations

example:
8.1g of ZnO reacts completely with 0.6g of carbon to form 2.2g of CO2 and 6.5g of Zn...
Ar of C=12, Ar of 0=16, Ar of Zn=65
1)ZnO= 65+16=81
CO2=12+(2x16)=44
C=12
Zn=65
2) ZnO=8.1/81=0.1 mol
CO2=2.2/44=0.05
C=0.6/12=0.05
Zn=6.5/65=0.1
3)0.1/0.05=2
0.05/0.05=1
0.05/0,05=1
0.1/0.05=2
4) 2ZnO+C---->CO2+2Zn

limiting reactants

reaction stops when 1 of the is used up. any other reactants are in excess

the amount of product formed is directly proportional to the amount of limiting reactant

example
calculate the mass of Al202 when 135g of Al is burned in air...
4Al+3O2---->2Al2O3
Al=27
Al2O3=102
moles=mass/mr=135/27=5
4:2
5:2.5
mass=moles x mr=2.5x102=225g

gases and solutions

volume of gas=mass of gas/mr of gas x24

concentration= mass of solute (g)/volume of solvent (dm3)

concentration= number of moles of solute (mol)/ volume of solvent (dm3)

concentration calculations

example:
whats the concentration in g/dm3 of sulfuric acid solution...
mr(H2SO4)=98
mass=moles x relative formula mass=0.04166 x 98=4.08g/dm3

atom economy

atom economy= relative formula mass of desired products/ relative formula mass of all reactants x100

example:
calculate the atom economy of...
CH4+H2---->CO+3H2
Mr(CH4)=16
Mr(H20)=18
16+18=34
3 x Mr(H2)=6
6/34 x 100=17.6%

high atom economy is better for profit and the environment

the less products, higher atom economy - no waste products

percentage yield

percentage yield= mass of actual product/ maximum theoretical yield x100

always less than 100%

high py is good for industry- less waste, more profit

lose some product when you separate it from reaction mixture

side reactions can decrease py