5. An investigation was carried out into the effect of mathrm(pH) on pepsin activity. Four experiments were set up as shown in the diagram below at mathrm(pH) 2,5,7 and 10. 10 mathrm(~cm) glass tube containing solidified protein of egg white The table below shows the lengths of the protein after one hour at each mathrm(pH) . rho H & }(c) length (mathrm(cm)) 2 & 6 5 & 8 7 & 9 10 & 10 What is the optimum mathrm(pH) for pepsin? A mathrm(pH) 2 B. mathrm(pH)

## Step 1: First, we need to examine the problem statement and the data that we are given. We are determining which pH condition corresponding to maximum protein degradation. The detail is given as a table with pH versus length of untouched protein after 1 hour of interaction with pepsin. ## Step 2: Pepsins are enzymes that aid in the digestion of proteins in the stomach, operating optimally at a particular pH which should show hardly detectable protein length since it's vigorously broken down by the pepsin. Hence the shortest protein length would equate to the most rapid digestion accordingly.## Step 3: Simply checking for the shortest protein length in the table will give us the optimum pH. ### \(\mathrm{Min\_length} = \min(\{6,8,9,10\}) \)which comes out to be corresponding to the of .