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Reconstitution, Volume of Water, and Ovalbumin

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For your upcoming biochemistry experiment, a protocol indicates that you will need a 6.1 mM solution of the protein 'ovalbumin'. Looking around the laboratory, you find one vial of ovalbumin. The label and Certificate of Analysis that shipped with the ovalbumin provide the following information.
- Sigma catalog number A5503
- Albumin from chicken egg white (synonym: ovalbumin)
- >98% pure (agarose gel electrophoresis)
- Mol Wt: 44287 Da
- Form: Lyophilized powder
- Mass: 50 mg

Calculate the volume of water required to reconstitute (also referred to as solubilize) the entire contents of the vial of ovalbumin to a final concentration of 6.1 mM.

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Solution Summary

The full solution is provided in two parts. First, a quick "plug and play" answer which provides the numerical answer. Next, a detailed, step-by-step explanation of the approach to interpreting & solving the problem, so that the student will gain a solid understanding of how and why the equation(s) work, when to apply them, and how to double check that the answer that is calculated is reasonable (very handy for exam situations). Exam hints / tips also included.

Solution Preview

This type of problem is frequently encountered in chemistry, biology, clinical, and biochemistry laboratory settings.
***PLEASE REFER to the attached Word file to view correct formatting for equations***

Q: For your upcoming biochemistry experiment, a protocol indicates that you will need a 6.1 mM solution of the protein 'ovalbumin'. Looking around the laboratory, you find one vial of ovalbumin. The label and Certificate of Analysis that shipped with the ovalbumin provide the following information.
Sigma catalog number A5503
Albumin from chicken egg white (synonym: ovalbumin)
>98% pure (agarose gel electrophoresis)
Mol Wt: 44287 Da
Form: Lyophilized powder
Mass: 50 mg

Calculate the volume of water required to reconstitute (also referred to as solubilize) the entire contents of the vial of ovalbumin to a final concentration of 6.1 mM.

A: TWO forms of the answers are shown below. First, a quick "plug and play" answer, so that you can check your final answer. Second, a more detailed version detailing each step, as well as the key concepts required to understand and complete this type of assignment. Bonus (exam tip): An example of how you can use 'unit analysis' to double-check that you have set up the equation(s) correctly.
Quick answer to Q1: 185 µL of water
Detailed answer:
Step 1: First understand what the question is asking "calculate the volume of water required to reconstitute (also referred to as solubilize) the entire contents of the vial of ovalbumin to a final concentration of 6.1 mM".
We are asked to figure out what volume of water to use
We will use ALL of the ovalbumin that is in the vial
The final concentration of ovalbumin will be 6.1 mM = 6.1 millimolar = 6.1 mmoles / L.
Step 2: Now, let's take a look at the information that was provided, and how we could use all or some of the information to complete the calculation.
(Hint: Don't assume that ...

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