Question

You have 30 ml of protein at 4 mg/ml and concentrate it to 5 ml. What is the protein's final concentration in mg/ml?

Answer 1

The final concentration of the protein after reducing the volume from 30 ml to 5 ml is 24 mg/ml. This is calculated using the conservation of mass principle, dividing the total amount of protein (120 mg) by the final volume.

Step-by-step explanation:

To calculate the final concentration of the protein after it has been concentrated, we'll employ the conservation of mass of the solute (protein) since it remains constant during the concentration process. The initial concentration of the protein is given as 4 mg/ml, and the initial volume is 30 ml.

First, the total amount of protein can be calculated by multiplying the initial concentration by the initial volume:

• Initial amount of protein = initial concentration × initial volume = 4 mg/ml × 30 ml = 120 mg

After a concentration of 5 ml, the total amount of protein remains the same (120 mg), but the volume has decreased. To find the final concentration, divide the total amount of protein by the final volume:

• Final concentration = total amount of protein / final volume = 120 mg / 5 ml = 24 mg/ml

Thus, the protein's concentration after concentration is 24 mg/ml.