Transcript Document
Unit 1
The Mole
HIGHER CHEMISTRY REVISION.
Unit 1:- The Mole
1.
The balanced equation for the decomposition of hydrogen peroxide into
water and oxygen is:
2H2O2 (l)
24000 cm3 of gas = 1 mol of O2
So 40 cm3 = 0.0167 mol
1 mole of O2 weighs 32g
So 0.0167 mol weighs 0.534g
2H2O(l) + O2 (g)
Using information from the above graph, calculate the mass of hydrogen
peroxide used in the reaction, assuming all the hydrogen peroxide
decomposed.
(Take the molar volume of oxygen to be 24 litres mol-1)
2. . A student electrolysed dilute sulphuric acid using the apparatus shown in
order to estimate the volume of one mole of hydrogen gas.
(a) Q= I x t
= 0.5 x 14 x 60
= 420C
2H+ + 2e
-
2 x 96500C
H2
1 mol
193000C 1 mol
Current = 0.5 A
Time = 14 minutes.
Volume of hydrogen collected = 52 cm3.
420C gives 52 cm3
So 193000C gives 23 895 cm3
or 23.895 litres
(b) Introduce a variable resistor
so that current can be kept
constant.
(a) Calculate the molar volume of hydrogen gas.
(b) What change could be made to the apparatus to reduce a possible
significant source of error?
3. The symbol for the Avogadro Constant is L.
Identify the two true statements.
A
64.2 g of sulphur contains approximately L atoms.
B
16.0 g of oxygen contains approximately L molecules.
C
6.0 g of water contains approximately L atoms.
D
1.0g of hydrogen contains approximately L protons.
E
2.0 litres of 0.50 mol l-1 sulphuric acid contains approximately
L hydrogen atoms.
F
1.0 litres of 1.0 mol l
-1
barium hydroxide solution contains
approximately L hydroxide atoms.
C and D
4. A student heated a compound which gave off carbon dioxide
gas and water vapour.
The volume of carbon dioxide collected was 240 cm3.
Calculate the number of molecules in this volume.
(Take the molar volume of carbon dioxide to be 24 litres mol-1.)
24 litres = 24000 cm3.
24000 cm3 contains 6.02 x 1023 CO2 molecules.
So 240 cm3 contains
240/
24000
x 6.02 x 1023 = 6.02 x 1021 CO2 molecules.
5.
A student added 0.20 g of silver nitrate, AgNO3, to 25 cm3 of
water. This solution was then added to 20 cm3 of 0.0010 mol l-1
hydrochloric acid as shown in the diagram
The equation for the reaction which occurs is:
AgNO3 (aq)
+ HCl(aq)
AgCl(s)
+ HNO3 (aq)
(a) Name the type of reaction which takes place.
(b) Show by calculation which reactant is in excess.
(a)
Precipitation.
(b)
No of moles of HCl = C x V(litres)
=
20/
1000
x 0.001
= 2 x 10-5 mol
No of moles of AgNO3 =
mass/
gfm
=
0.2/
169.9
= 1.2 x 10-3 mol
So the silver nitrate is in excess.
6. When sodium hydrogencarbonate is heated to 112oC it decomposes and the gas
carbon dioxide is given off:
2NaHCO3(s)
Na2CO3(s)
+ CO2(g)
+ H2O(g)
The following apparatus can be used to measure the volume of carbon dioxide
produced in the reaction.
(a) Water boils at 100oC and
so could not raise the
temperature to 112oC.
(b) (i) From equation
2mol of NaHCO3
gives 1 mol of CO2.
i.e. 168 g NaHCO3 44g CO2.
So 1.68 g
0.44g
b) (ii) Some of the carbon dioxide
dissolves in water.
(a) Why is an oil bath used and not a water bath?
(b) (i) Calculate the theoretical volume of carbon dioxide produced by the complete
decomposition of 1.68 g of sodium hydrogencarbonate.
Take the molar volume of carbon dioxide to be 23 litres mol-1
(ii) Assuming that all of the sodium hydrogen carbonate is decomposed, suggest
why the volume of carbon dioxide collected in the measuring cylinder would
be less than the theoretical value.
7.
The concentration of a solution of sodium thiosulphate can be found by reaction with iodine.
The iodine is produced by electrolysis of an iodide solution using the apparatus shown.
The current is noted and the time when the indicator detects the end-point of the
reaction is recorded.
Iodine is produced from the iodide solution according to the following equation:
2I-(aq)
I2(aq)
+ 2e-
(a) Calculate the number of moles of iodine generated during the electrolysis given
the following results.
Current = 0.010 A
Q=I xt
2I-(aq)
Time
= 1 min 37 s
= 0.01 x 97
So 0.97 C
0.97
/193000
I2(aq)
+ 2e-
1 mol
2F
= 0.97C
1 mol
2 x 96500 C
1 mol
193000C
x1
= 5 x 10-6 mol
7. (b) The iodine produced reacts with the thiosulphate ions according to the equation:
I2(aq)
+ 2S2O32-(aq)
iodine
thiosulphate ions
2I-(aq)
+ S4O62-(aq)
At the end-point of the reaction, excess iodine is detected by the indicator.
(i) Name the indicator which could be used to detect the excess iodine present
at the end-point.
(ii) In a second experiment it was found that 1.2 x 10-5 mol of iodine reacted with
3.0 cm3 of the sodium thiosulphate solution.
Use this information to calculate the concentration of the sodium thiosulphate
solution in mol l-1.
(b) (i) Starch solution.
(ii)
I2(aq)
1 mol
+ 2S2O32-(aq)
2I-(aq)
+ S4O62-(aq)
2 mol
So 1.2 x 10-5 mol of I2(aq) reacts with 2.4 x 10-5 mol of S2O32-(aq
Concentration of thiosulphate
=
=
no of moles/
volume (litres)
2.4 x 10-5
0.003
= 0.008 mol l-1.
8. Aluminium is manufactured in cells by the electrolysis of aluminium oxide
dissolved in molten cryolite.
What mass of aluminium is produced each hour, if the current passing
through the liquid is 180 000 A?
Al3+(l) + 3e3F
Al(l)
1 mol
3 x 96500C 27 g
289500C 27 g
Q=Ixt
= 180 000 x 60 x 60
= 648 000 000 C
289500C 27 g
So 648 000 000 C
648 000 000/
289500
= 60 435 g
= 60.435 kg of Al
x 27
9. Calcite is a very pure form of calcium carbonate which reacts with nitric
acid as follows:
CaCO3(s) + 2HNO3 (aq)
Ca(NO3) 2(aq) +
H2O(l)
+ CO2(g)
A 2.14 g piece of calcite was added to 50.0 cm3 of 0.200 mol l-1 nitric acid in a
beaker.
(a) Calculate the mass of calcite, in grams, left unreacted.
(b) Describe what could be done to check the result obtained in (a)
(a)
No. of moles of calcite =
mass/gfm
=
2.14/
100
No. of moles of acid = C x V(litres) = 0.2 x
= 0.0214 mol.
50/
1000
= 0.01
From equation 0.0214 mol of calcite reacts with 0.0418 mol of acid.
So all the acid is used up
0.01 mol of acid reacts with 0.005 mol of calcite = 0.005 x 100 = 0.5 g
Mass of calcite left over = 2.14 – 0.5g = 1.64 g.
(b) Filter off any unreacted calcite, dry and then weigh it.
10. Diphosphine, P2H4, is a hydride of phosphorus. All of the covalent bonds
in diphosphine molecules are non-polar because the elements present have
the same electronegativity.
(a)
What is meant by the term”electronegativity”?
(b) The balanced equation for the complete combustion of diphosphine is:
2P2H4(g)
+ 7O2 (g)
P4O10(s)
+
4H2O(l)
What volume of oxygen would be required for the complete combustion o
10 cm3 of diphosphine?
(c) Calculate the volume occupied by 0.330 g of diphosphine.
(Take the molar volume to be 24.0 litres mol-1.)
(a) Electronegativity is a measure of the attraction of an atom
for electrons it shares with other atoms.
(b) 2P2H4(g)
+ 7O2 (g)
2 mol
7 mol
2 vol
7 vol
10cm3
35cm3
(c)
P4O10(s)
+
1 mole of P2H4 weighs 66g
66g occupies 24.0 litres
So 0.330g occupies
0.33/
66
x 24
= 0.12 litres
4H2O(l)
11. In 1996, the scientists Robert Curl, Harold Kroto and Richard Smalley won the
Nobel Prize in Chemistry for their contribution to the discovery of new forms of
carbon called fullerines.
(a) In what way does the structure of fullerines differ from the other forms of
carbon, diamond and graphite?
(b) One form of fullerine, C60, forms a superconducting crystalline compound with
potassium.
Its formula can be represented as K3C60.
A sample of this compound was found to contain 2.88 g of carbon.
(i) Calculate the number of moles of fullerine used to make this compound.
(ii) Calculate the mass of potassium, in grams, in the sample.
(a) Fullerines are covalent molecular solids – diamond and graphite are covalen
network solids.
(b)
1 mole of K3C60 contains 60 x 12 = 720g of carbon.
So 2.88g of carbon =
(c)
2.88/
720
=
0.004 mol of fullerine.
1 mole of K3C60 contains 3 x 39 g of potassium.
So 0.004 moles contains 3 x 39 x 0.004 g
= 0.468 g of potassium
12. Ionisation energies provide information about the structure of atoms.
(a) Write the equation, showing state symbols, for the first ionisation
energy of sodium.
(b) Calculate the number of electrons lost when one mole of boron atoms
is converted into one mole of boron atoms with a charge of 3+.
(a)
Na(g)
(b)
B(g)
Na+(g) + e B3+(g) + 3e-
1 mol
3 mol
3 x 6.02 x 1023
1.806 x 1024 electrons
13. The ion-electron equation for the production of zinc in an
electrolysis cell is
Zn2+
+ 2e-
Zn
If a current of 2000 A is used in the cell, calculate the mass of
zinc, in kg, produced in 24 hours.
Zn2+
+ 2e-
Zn
2F
1 mol
193000C
65.4 g
So 172.8 x 106 C
58555g
Q= I x t
= 2000 x x 24 x60 x 60
= 172.8 x 106C
or 58.55 kg