A series of polymerisations were conducted using the following monomers. MONOMER A MONOMER B MONOMER C (a) An equimolar amount of MONOMER A and MONOMER B are polymerised in the presence of an acid catalyst. The extent of reaction, p, achieved after time, t1, is 0.98. (i) Draw a balanced chemical reaction scheme for this polymerisation. (ii) Identify this polymerisation using at least TWO descriptive terms. (iii) Calculate the number-average molecular weight of this polymer. (iv) Show that the time required to reach p=0.99 is approximately the same as t1. (b) A polymerisation is conducted using 2.8 moles of MONOMER A, 1.9 moles of MONOMER B and 0.6 moles of MONOMER C. Calculate the critical extent of reaction for gelation predicted by the Carothers theory of gelation