(Solved): In your lab you are studying a certain biochemical bacterial metabolic pathway (shown below). You ...

In your lab you are studying a certain biochemical bacterial metabolic pathway (shown below). You have initial data that suggests that if you could inhibit this pathway you would have the "next penicillin", but first you need to determine the activation energy for the rate determining step of this process. enzyme \( + \) substrate \( \longrightarrow \) product \( 1+ \) product 2 It is known that under the conditions you are performing your experiment the rate law for the reaction is: rate \( =k[\text { enzyme }]^{2}[ \) substrate \( ] \) You set up an experiment at \( 323 \mathrm{~K} \) where [enzyme] \( =0.00339 \mathrm{M} \) and [substrate] \( =1.63 \mathrm{M} \). A plot of 1/[enzyme] versus time (seconds) gives a straight line relationship with a slope of \( 0.00194 \). Previous studies have shown that a plot of \( \ln (k) \) vs \( 1 / T \) at a series of different temperatures gives a y-intercept of \( -0.7012 \). What is the activation energy for this reaction? \( E_{a} \) This question is complete and cannot be answered again. Correct answer \[ E_{a}(i n k J)=16.2 \]