Liquid benzene burns in the atmosphere. If a cold object is placed directly over the benzene, water will condense on the object and a deposit of carbon will also form on the object. The chemical equation for this reaction is X1* C6H6 + X2*O2 = X3*c + X4* H2O (a.) Write a system of equations that must be satised for the equation to be balanced (equal numbers of each atom on each side). (b.) Solve the system to nd (x1; x2; x3; x4). Solution For carbon, x1*6 = x3*1 H, 6*x1=x4*2 O, x2*2=x4*1 b) x2=x4/2 6*x1 = 4*x2 let us assume x2=1; then x4=2; x1= 2/3 x3=4 .