Determine the effectiveness factor for a nonisothermal spherical catalyst pellet in which a first-order isomerization is taking place. additional information: a_i = 100 m^2/m^3 -delta h_r = 800,000 j/mol c_as = 0.01 kmol/m^3 k_t = 0.004 j/m middot s middot k dp = 0.005 m k_1 = 10^-1 m/s e = 100,000 j/mol ts = 400 k de = 8 times 10^-8 m^2/s how would your answer change if the pellets were 10^-2, 10^-4 and 10^-5 in diameter? what are typical temperature gradients in catalyst pellets?