a(i) Write balanced chemical equations for the production  of lead(II) chloride by:

 I. direct combination of constituent elements;

II. double decomposition; 

III. displacement reaction.

(ii) State one condition that would increase the rate of reaction for each of the reactions stated in 3a(i).

 I. ........................... II. ......................... III. .......................

(b) Consider the following Chemical reaction in equilibrium:

       2SO\(_2\)(g)  +  O\(_2\)(g) ⇌ 2SO\(_3\)\(_(g)\) ; ΔH = positive

(i) State two conditions that would increase the yield of SO\(_3\)\(_(g)\)

(ii) If 60cm\(^3\) of SO\(_2\) reacts with 40cm\(^3\) of O\(_2\), determine the volume of the residual gas, assuming that the reaction goes to completion in a cylinder.

(iii) What is the change in the oxidation number of sulphur in the reaction in 3(b) ?

(c) Using structural diagrams, explain why cyclopropane is not an isomer of n-propane.

(d) A structural organic compound X containing three carbon atoms reacted with butanoic acid in the presence of dilute H\(_2\)SO\(_4\) to form a sweet smelling compound Y.

(i) Name compounds X and Y.

(ii) State the functional group present in X.

(iii) Write an equation for the reaction between X and butanoic acid.