$(25pts)$ The gas phase reaction $2A2B+C$ with the rate law of $-r_A=k{C}_A$ takes place in two separate reactors in two different experiments. In the first experiment, $85\%$ conversion is achieved when pure A is fed to a $6d{m}^3$ PFR with $v=5\frac{d{m}^3}{(s)}$ at $350K.$ In the second experiment $60\%$ conversion is achieved when a mixture of $50\%$A and $50\%$ inert is fed to a $10d{m}^{3}CSTR$ with $v=5\frac{d{m}^3}{(s)}$ at $320K.$ Calculate the activation energy in $\frac{\text{c}\text{a}\text{l}}{\text{m}\text{o}\text{l}}.$