The student plated 100 uL of tube 3. The concentration of tube 3 is 0.0125 g/mL. She counted 100 CFU on the plate. We need the answer in CFU/g, so the first step to solve the problem is to determine the mass of the sample that she plated.
The concentration in this case is defined like:
concentration = mass of sample in g/(volume of sample in mL)
So we can obtain the mass of the sample in g by:
mass of sample in g = concentration * volume of sample in mL
The concentration is g/mL and she took 100 uL. Let's convert those uL into mL. We know that there are 1000 uL in 1 mL.
1000 uL = 1 mL
volume of sample in mL = 100 uL * 1 mL/(1000 uL)
volume of sample in mL = 0.100 mL
We know the concentration of tube 3 and the volume of the sample in mL we can find the mass that the student plated.
mass of sample in g = concentration * volume of sample in mL
mass of sample in g = 0.0125 g/mL * 0.100 mL
mass of sample in g = 0.00125 g
So the student took 100 uL of tube 3 or 0.00125 g of that sample. In that sample she counted 100 colonies. So the CFU/g is:
CFU/g = 100 CFU/(0.00125 g)
CFU/g = 80000 CFU/g
Answer: The CFU/g is 80000