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Date May 2016 Marks available 4 Reference code 16M.2.hl.TZ0.2
Level HL Paper 2 Time zone TZ0
Command term Calculate Question number 2 Adapted from N/A

Question

Phosgene, COCl2, is usually produced by the reaction between carbon monoxide and chlorine according to the equation:

(i) Deduce the equilibrium constant expression, Kc, for this reaction.

(ii) At exactly 600°C the value of the equilibrium constant is 0.200. Calculate the standard Gibbs free energy change, , for the reaction, in kJ, using sections 1 and 2 of the data booklet. State your answer to three significant figures.

(iii) The standard enthalpy change of formation of phosgene, \(\Delta H_f^\Theta \), is −220.1kJmol−1. Determine the standard enthalpy change, \(\Delta H_{}^\Theta \), for the forward reaction of the equilibrium, in kJ, using section 12 of the data booklet.

(iv) Calculate the standard entropy change, \(\Delta S_{}^\Theta \), in JK−1, for the forward reaction at 25°C, using your answers to (a) (ii) and (a) (iii).  (If you did not obtain an answer to (a) (ii) and/or (a) (iii) use values of +20.0 kJ and −120.0 kJ respectively, although these are not the correct answers.)

[8]
a.

One important industrial use of phosgene is the production of polyurethanes. Phosgene is reacted with diamine X, derived from phenylamine.

(i) Classify diamine X as a primary, secondary or tertiary amine.

(ii) Phenylamine, C6H5NH2, is produced by the reduction of nitrobenzene, C6H5NO2. Suggest how this conversion can be carried out.

(iii) Nitrobenzene can be obtained by nitrating benzene using a mixture of concentrated nitric and sulfuric acids. Formulate the equation for the equilibrium established when these two acids are mixed.

(iv) Deduce the mechanism for the nitration of benzene, using curly arrows to indicate the movement of electron pairs.

[8]
b.

The other monomer used in the production of polyurethane is compound Z shown below.

(i) State the name, applying IUPAC rules, of compound Z and the class of compounds to which it belongs.

Name:

Class:

(ii) Deduce the number of signals you would expect to find in the 1H NMR spectrum of compound Z, giving your reasons.

The mass spectrum and infrared (IR) spectrum of compound Z are shown below:

Mass spectrum

IR spectrum

(iii) Identify the species causing the large peak at m/z=31 in the mass spectrum.

(iv) Identify the bond that produces the peak labelled Q on the IR spectrum, using section 26 of the data booklet.

[5]
c.

Phenylamine can act as a weak base. Calculate the pH of a 0.0100 mol dm−3 solution of phenylamine at 298K using section 21 of the data booklet.

[4]
d.

Markscheme

(i)
\( \ll {K_{\rm{C}}}{\rm{ = }} \gg \frac{{\left[ {{\rm{COC}}{{\rm{l}}_{\rm{2}}}} \right]}}{{\left[ {{\rm{CO}}} \right]\left[ {{\rm{C}}{{\rm{l}}_2}} \right]}}\)

(ii)
T«= 600 + 273» = 873K

ΔGΘ = −8.31 × 873 × ln (0.200)
OR
ΔGΘ = « + » 11676 «J»
ΔGΘ = « + » 11.7 «kJ»

Accept 11.5 to 12.0.
Award final mark only if correct sig fig.
Award [3] for correct final answer.

(iii)
ΔHΘ = −220.1 − (−110.5)
ΔHΘ = −109.6 «kJ»

Award [2] for correct final answer.
Award [1] for −330.6, or +109.6 «kJ».

(iv)
ΔGΘ= −109.6 − (298 × ΔSΘ) = +11.7 «kJ»
ΔSΘ«\(\frac{{\left( {11.7 + 109.6} \right) \times {{10}^3}}}{{298}}\)»= −407 «JK−1»

Award [2] for correct final answer.
Award [2] for −470 «JK−1» (result from given values).
Do not penalize wrong value for T if already done in (a)(ii).
Award [1 max] for −0.407 «kJ K−1».
Award [1 max] for −138.9 «J K−1».

a.

(i)
primary

(ii)
ALTERNATIVE 1:
«heat with» tin/Sn AND hydrochloric acid/HCl
aqueous alkali/OH(aq)

ALTERNATIVE 2:
hydrogen/H2
nickel/Ni «catalyst»

Accept specific equations having correct reactants.
Do not accept LiAlH4 or NaBH4.
Accept Pt or Pd catalyst.

Accept equations having correct reactants.

(iii)
HNO3 + 2H2SO4  NO2+ + 2HSO4 + H3O+

Accept: HNO3 + H2SO4 NO2+ +HSO4H2O Accept HNO3 + H2SO4  H2NO3+ + HSO4 .
Accept equivalent two step reactions in which sulfuric acid first behaves as a strong acid and protonates the nitric acid, before behaving as a dehydrating agent removing water from it.

(iv)

curly arrow going from benzene ring to N of +NO2/NO2+
carbocation with correct formula and positive charge on ring
curly arrow going from C–H bond to benzene ring of cation
formation of organic product nitrobenzene AND H+

Accept mechanism with corresponding Kekulé structures.

Do not accept a circle in M2 or M3. Accept first arrow starting either inside the circle or on the circle.

M2 may be awarded from correct diagram for M3.

M4: Accept C6H5NO2 + H2SO4 if HSO4 used in M3.


 

b.

(i)
Name: ethane-1,2-diol
Class: alcohol«s»

Accept ethan-1,2-diol / 1,2-ethanediol.
Do not accept “diol” for Class.

(ii)
two AND two hydrogen environments in the molecule
OR
two AND both CH2 and OH present

(iii)
+CH2OH

Accept CH3O+
Accept [•CH2OH]+ and [•CH3O]+.
Do not accept answers in which the charge is missing. 

(iv)
oxygen-hydrogen «bond»/O–H «in hydroxyl»

c.

\({K_{\rm{b}}} \approx \frac{{{{\left[ {{\rm{O}}{{\rm{H}}^ - }} \right]}^2}}}{{\left[ {{{\rm{C}}_{\rm{6}}}{{\rm{H}}_{\rm{5}}}{\rm{N}}{{\rm{H}}_{\rm{2}}}} \right]}} = {10^{ - 9.13}}/7.413 \times {10^{ - 10}}\)

\(\left[ {{\rm{O}}{{\rm{H}}^ - }} \right] = \sqrt {0.0100 \times {{10}^{ - 9.13}}}  = 2.72 \times {10^{ - 6}}\)

\(\left[ {{{\rm{H}}^ + }} \right] = \frac{{1 \times {{10}^{ - 14}}}}{{2.72 \times {{10}^{ - 6}}}} = 3.67 \times {10^{ - 9}}\)

OR

pOH = 5.57

pH = −log [H+] = 8.44

Accept other approaches to the calculation.
Award [4] for correct final answer.
Accept any answer from 8.4 to 8.5.

d.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.

Syllabus sections

Additional higher level (AHL) » Topic 18: Acids and bases » 18.2 Calculations involving acids and bases
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