P10-16 The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3% Pt/Al₂O, catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydro- gen (H2) to avoid coking [J. Phys. Chem., 64, 1559 (1960)]. (a) Determine the model parameters for each of the following rate laws. (1)-=kPP (3)-1= MH₂ KPMPH (1+KMPM)² (2)- kPM 1+KMPM KPMP (4)-= 1+KMPM+K₁₂PH₂ Use the data in Table P10-16g below. (b) Which rate law best describes the data? Hint: Neither KH, or KM can take on negative values. (c) Where would you place additional data points? (d) Suggest a mechanism and rate-limiting step consistent with the rate law you have chosen. TABLE P10-16 DEHYDROGENATION OF METHYLCYCLOHEXANE (mol toluene) s-kg-cat PH, (atm) PM (atm) 1 1 1.2 1.5 1 1.25 0.5 1 1.30 0.5 0.5 1.1 1 0.25 0.92 0.5 0.1 0.64 3 3 1.27 1 4 1.28 3 2 1.25 4 1 1.30 0.5 0.25 0.94 2 0.05 0.41 P10-17 Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times