You have a 11.5 mg sample of blood that contains various proteins. Hemoglobin is the only protein in the sample containing Fe. Hemoglobin contains 3.83% by mass of a compound called heme (C34H32FEN.O4, MW = 616.49 g/mol). You find that your 11.5 mg blood sample contains 10.9 micrograms of Fe. What is the mass percent of hemoglobin in your protein sample?

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**Problem Statement: Calculation of Hemoglobin Mass Percent in a Blood Sample**

You have an 11.5 mg sample of blood that contains various proteins. Hemoglobin is the only protein in the sample containing iron (Fe). Hemoglobin contains 3.83% by mass of a compound called heme (C₃₄H₃₂FeN₄O₄, MW = 616.49 g/mol). 

You find that your 11.5 mg blood sample contains 10.9 micrograms of Fe. What is the mass percent of hemoglobin in your protein sample?

**Solution Explanation:**

To solve this problem, you'll need to calculate the mass of hemoglobin in the sample using the given iron content and the molecular details of heme. Once you have that information, you can find the mass percent of hemoglobin with respect to the protein sample.

1. **Determine the mass of heme in the hemoglobin**: Knowing that heme contains iron, and given its percentage composition in hemoglobin, you will establish how much of the heme's mass is due to iron.

2. **Calculate the amount of hemoglobin corresponding to the iron content**: Use stoichiometric relationships and the molecular weight of heme to find out how much hemoglobin corresponds to the 10.9 micrograms of Fe.

3. **Find the mass percent**: Finally, the mass percent of hemoglobin in the blood sample can be obtained by relating the calculated mass of hemoglobin to the total mass of proteins in the sample.

This calculation is pivotal in biochemical analysis to determine hemoglobin concentration in medical diagnostics or physiological studies.
Transcribed Image Text:**Problem Statement: Calculation of Hemoglobin Mass Percent in a Blood Sample** You have an 11.5 mg sample of blood that contains various proteins. Hemoglobin is the only protein in the sample containing iron (Fe). Hemoglobin contains 3.83% by mass of a compound called heme (C₃₄H₃₂FeN₄O₄, MW = 616.49 g/mol). You find that your 11.5 mg blood sample contains 10.9 micrograms of Fe. What is the mass percent of hemoglobin in your protein sample? **Solution Explanation:** To solve this problem, you'll need to calculate the mass of hemoglobin in the sample using the given iron content and the molecular details of heme. Once you have that information, you can find the mass percent of hemoglobin with respect to the protein sample. 1. **Determine the mass of heme in the hemoglobin**: Knowing that heme contains iron, and given its percentage composition in hemoglobin, you will establish how much of the heme's mass is due to iron. 2. **Calculate the amount of hemoglobin corresponding to the iron content**: Use stoichiometric relationships and the molecular weight of heme to find out how much hemoglobin corresponds to the 10.9 micrograms of Fe. 3. **Find the mass percent**: Finally, the mass percent of hemoglobin in the blood sample can be obtained by relating the calculated mass of hemoglobin to the total mass of proteins in the sample. This calculation is pivotal in biochemical analysis to determine hemoglobin concentration in medical diagnostics or physiological studies.
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