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2.7 Protein inventory a. Suppose that you gently centrifuge a mass of bacteria down to a solid lump and find the lump's mass to be 100mg. Then you dilute the sample, take a drop, count the bacteria in the drop, and extrapolate to find how many bacteria were in the original lump. Incredibly, the answer is about 100 billion (1011) cells! Suppose that each bacterium is roughly cylindrical, with its length about twice its cylinder diameter (like E. coli), and assume that its mass density is about the same as that of water. Estimate the dimensions of one bacterium. b. Drying the lump reduces its mass to about 30mg. Further chemical analysis shows that about 55% of the dry mass consists of proteins; assume an average molar mass of 40000gmole1. About how many protein molecules are in a single bacterium