Can you please show me how to answer this question using C1V1=C2V2
A scientist receives a vial containing a protein at at concentration of 35mg/ml and is asked to add 0.25ml of it to 6.75mls of Biuret solution. What is the concentration of protein in the Biuret solution in mg/ml?
Certainly! To answer this question using the formula C1V1 = C2V2, you need to follow these steps:
Step 1: Identify the variables in the problem:
- C1: Initial concentration of the protein solution (35 mg/ml)
- V1: Volume of protein solution added (0.25 ml)
- C2: Final concentration of the protein solution in the Biuret solution (unknown)
- V2: Final volume of the protein solution in the Biuret solution (6.75 ml)
Step 2: Plug the values into the formula C1V1 = C2V2 and solve for C2 (concentration):
- C1V1 = C2V2
- (35 mg/ml)(0.25 ml) = C2(6.75 ml)
Step 3: Solve the equation:
- (35 mg/ml)(0.25 ml) = C2(6.75 ml)
- 8.75 mg = C2(6.75 ml)
Step 4: Calculate the concentration (C2):
- C2 = 8.75 mg / 6.75 ml
Step 5: Divide the two values to find the concentration of protein in the Biuret solution:
- C2 ≈ 1.2963 mg/ml
Therefore, the concentration of protein in the Biuret solution is approximately 1.2963 mg/ml.