You are stranded on a serene tropical island with a campfire, a scuba tank and a reference tome on the composition of tropical plants. Your tome suggests that the available palm wood consists of 20 mol% lignin (C10H12O3) and 80 mol % cellulose (C6HO5). To pass the time, you see if you can determine the balanced reaction for complete combustion of the palm wood. a O + b C10H12O3 + CC6HO5 d CO + e HO (a) Write down all element balances and auxiliary equation(s). (b) Briefly state a reason in no more than 20 words for whether there is sufficient information to balance the equation uniquely. (c) Either: - Solve the system to balance the equation, or - Put the system of equations in matrix form. Write three lines of Matlab code in your answer to solve it by (i) clearly defining the matrix and vector and (ii) writing the code to solve it.