The bacterial protein called flagellin (molecular weight 40,000 g/mol) has been used to calculate the accuracy of protein synthesis. Flagellin offers two advantages, it can be easily obtained as a pure fraction and it contains no cysteine, thereby allowing a sensitive measure of the mis-incorporation of cysteine into the protein. To radioactively label cysteine, bacteria were grown in the presence of 35SO4 2- . The specific activity of the radioactive sulfate is 5.0 x 10^3 cpm/pmole, in other words, one picomole (pmole) of radioactive sulfate produces 5 x 10^3 counts per minute. After radioactive labeling, 8 µg of flagellin were purified and were found to contain 300 cpm of 35S radioactivity. Assume that the mass of flagellin doubles during the labeling period and that the specific activity of cysteine in flagellin is equal to the specific activity of 35SO4 2- used to label the bacteria.

a. Calculate how many pmoles (picomoles) of flagellin have been made during the labeling period.
b. Calculate how many pmoles of cysteines were incorporated in the flagellin synthesized during the labeling period.
c. Of the flagellin molecules that were synthesized during the labeling period, what fraction of flagellin contains cysteine?