'O' and 'A' Levels : Chemistry Calculations
4) Calculate the
concentration of a solution of sodium hydroxide given that 25.0
cm3 of it required 18.8 cm3 of 0.0500 mol
dm-3 H2SO4.
H2SO4 +
2 NaOH ®
Na2SO4
+ 2 H2O
5)
Calculate what volume of 0.05 mol dm-3 KOH is required
to neutralise 25.0 cm3 of
0.0150 mol dm-3 HNO3.
HNO3 +
KOH ®
KNO3 +
H2O
6) A
250 cm3 solution of NaOH was
prepared. 25.0 cm3 of this solution
required 28.2 cm3 of 0.100 mol dm-3 HCl for
neutralisation. Calculate what mass of NaOH was
dissolved to make up the original 250 cm3 solution.
HCl + NaOH
®
NaCl + H2O
7)
What volume of 5.00 mol dm-3 HCl is
required to neutralise 20.0 kg of CaCO3?
2 HCl +
CaCO3 ®
CaCl2 +
H2O +
CO2
8)
3.88 g of a monoprotic acid was dissolved in water and the solution
made up to 250 cm3. 25.0
cm3 of this solution was titrated with 0.095 mol
dm-3 NaOH solution, requiring 46.5
cm3. Calculate the relative molecular
mass of the acid.
9) A
1.575 g sample of ethanedioic acid crystals,
H2C2O4.nH2O, was
dissolved in water and made up to 250
cm3. One mole of the acid reacts with
two moles of NaOH. In a titration, 25.0
cm3 of this solution of acid reacted with exactly 15.6
cm3 of 0.160 mol dm-3
NaOH. Calculate the value of n.
10)
A solution of a metal carbonate, M2CO3, was
prepared by dissolving 7.46 g of the anhydrous solid in water to
give 1000 cm3 of solution. 25.0
cm3 of this solution reacted with 27.0 cm3 of
0.100 mol dm-3 hydrochloric acid.
Calculate the relative formula mass of M2CO3
and hence the relative atomic mass of the metal M.
11)
A 1.00 g sample of limestone is allowed to react with 100
cm3 of 0.200 mol dm-3 HCl.
The excess acid required 24.8 cm3 of 0.100 mol
dm-3 NaOH solution. Calculate the
percentage of calcium carbonate in the limestone.
12)
An impure sample of barium hydroxide of mass 1.6524 g was allowed
to react with 100 cm3 of 0.200 mol dm-3
hydrochloric acid. When the excess acid was
titrated against sodium hydroxide, 10.9 cm3 of sodium
hydroxide solution was required. 25.0
cm3 of the sodium hydroxide required 28.5 cm3
of the hydrochloric acid in a separate
titration. Calculate the percentage purity of
the sample of barium hydroxide.
Partial Solutions :
Q4. Calculate moles of H2SO4. Since it's a diprotic acid, hence
calculate moles of protons H+ involved, which is also the same
as the moles of hydroxide ions OH- involved, which in turn is
the same as the moles of NaOH involved. Now that you've the moles
of NaOH, and the Qn gives you volume of
NaOH, hence determine the molarity of NaOH, commonly
written as [NaOH], using the formula : Molarity = Moles / Volume
(in dm3).
Q5. Calculate moles of HNO3 present. Since both acid and base
are monoprotic, hence determine moles of KOH required.
Since molarity of KOH is given, hence determine volume
required, using the formula : Molarity = Moles / Volume (in
dm3).
Q6. Calculate moles of HCl neutralized, which would be the same
as moles of OH- present in the 25cm3 NaOH(aq) aliquot, hence
calculate the moles of OH- present in original 250cm3 of
NaOH(aq) solution (from which the aliquot was obtained), thereafter
multiply by the molar mass of NaOH to determine the sample mass of
NaOH required by the qn.
Q7. Let x be the volume (in dm3) of HCl required. Given the
molarity of HCl, calculate moles of HCl involved, in algebraic
terms. Given sample mass of CaCO3, calculate the moles of CaCO3
(simply divide the sample mass by molar mass). Bearing in mind that
the CO3 2- ion is diprotic, hence calculate the moles of HCl
required for acid-base neutralization. Equate this value to the
moles of HCl in algebraic terms found earlier, and solve for x.
Q8. Let x be the molar mass of the monoprotic acid. Given sample
mass, find moles of the acid (simply divide sample mass by molar
mass), in terms of algebraic variable x. Given 250cm3 volume,
determine molarity of acid in the 250cm3 solution. Since a 25cm3
aliquot was used for titration, calculate moles of H+ (still in
terms of x) involved in the titration. Given molarity and volume of
NaOH(aq) used in the titration, calculate moles of NaOH involved,
and equate to moles of H+ found earlier (in terms of x), and solve
for x.
Q9. Find molar mass of hydrated ethandioic acid, in terms of
algebraic variable n. Given sample mass, find moles of acid present
(in terms of n). Given volume of 250cm3, find molarity of acid
in 250cm3 solution, hence determine moles of diprotic acid
neutralized in titration (ie. in 25cm3 aliquot). Since ethandioic
acid is diprotic, hence determine moles of H+ neutralized in
titration (in terms of n). Equate this expression to the moles
of OH- neutralized in titration (use the formula
: moles = molarity x volume, for the NaOH), and solve for
n.
Q10. Let the molar mass of metal M, be x (grams). Accordingly,
determine moles of M2CO3 present, in terms of x (use the formula :
moles = sample mass / molar mass; note that sample mass is given,
and molar mass will be in terms of x). Given 1dm3 solution,
calculate molarity (still in terms of x). Given 25cm3 aliquot
involved in neutralization, determine moles of CO3 2- ions involved
in neutralization (use the formula : moles = volume x molarity).
Bearing in mind the carbonate(IV) ion CO3 2- is diprotic, hence
calculate moles of H+ neutralized (still in terms of x). Equate
this expression to the moles of HCl used (use the formula : moles =
molarity x volume), and solve for x.
Q11. Let the % by mass of CaCO3(s) present in the 1g sample be
x. Hence determine the sample mass of pure CaCO3(s) present, which
is simply (x/100)(1g). Divide this by the molar mass of CaCO3(s)
(refer to the periodic table) to obtain the moles of CaCO3(s)
involved in neutralization (in terms of x). Find
total moles of HCl present (moles = molarity x volume). Find
moles of excess HCl by subtracting twice the moles of CaCO3, from
the total moles of HCl present. (Why twice? because tghe
carbonate(IV) ion CO3 2- is diprotic!). Equate this expression
(of moles of excess HCl, in terms of x) with the moles of NaOH(aq)
used in titration (use the formula : moles = molarity x volume),
and solve for x.
Q12. Similar to Q11, but more involved and
convoluted.
Let the % purity, which is the same as % by mass of Ba(OH)2 in the
1.6524 g sample, be x. Hence find sample mass of pure Ba(OH)2
present, in terms of x grams. Hence find moles of Ba(OH)2 present
(formula : moles = sample mass / molar mass). Next find moles of
OH- present (still in terms of x), bearing in mind that Ba(OH)2 is
a diprotic base. Find total moles of HCl used (formula : moles
= 0.2M molarity x 0.1dm3 volume). Subtract away moles of OH-
present from total moles of HCl present, to obtain moles of
HCl in excess (still in terms of x).
Given molarity of HCl, find moles of HCl present in 28.5cm3.
This would give you the moles of H+ involved in the other
titration, which is the same as the moles of OH- involved in this
other titration. Given that in this other titration, volume of OH-
used was 25cm3, hence determine molarity of NaOH(aq). Hence
determine moles of OH- present in 10.9cm3. Equate this value, to
the moles of HCl in excess (in terms of x) found earlier, and
solve for x.