Myoglobin stores oxygen for metabolic processes in muscle. Chemical analysis shows that it contains `0.34%` Fe by mass. Minimum molecular mass of myoglobin is

Options

A. 16470 gm
B. 16176 gm
C. 17500 gm
D. 1647 gm

Answer

To find the minimum molecular mass of myoglobin based on the given percentage of iron, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information:**
- Myoglobin contains `0.34%` iron by mass.
- We need to find the minimum molecular mass of myoglobin.

2. **Set Up the Equation:**
- Let the minimum molecular mass of myoglobin be represented as `X` grams.
- Since `0.34%` of myoglobin is iron, in `100 grams` of myoglobin, there will be `0.34 grams` of iron.

3. **Calculate the Amount of Iron in X grams of Myoglobin:**
- In `X grams` of myoglobin, the amount of iron can be calculated as:
\[ \text{Amount of Iron} = \frac{0.34}{100} \times X \text{ grams} \]

4. **Use the Molar Mass of Iron:**
- The molar mass of iron (Fe) is `56 grams/mol`.
- According to the information, the amount of iron in myoglobin can also be expressed in terms of moles:
\[ \text{Moles of Iron} = \frac{\text{mass of iron}}{\text{molar mass of iron}} = \frac{\frac{0.34}{100} \times X}{56} \]

5. **Set Up the Equation:**
- The moles of iron in myoglobin must equal the mass of iron divided by its molar mass:
\[ \frac{0.34}{100} \times X = 56 \]

6. **Solve for X:**
- Rearranging the equation gives:
\[ X = \frac{56 \times 100}{0.34} \]
- Calculating this:
\[ X = \frac{5600}{0.34} \approx 16470.59 \text{ grams} \]

7. **Conclusion:**
- The minimum molecular mass of myoglobin is approximately `16470.59 grams/mol`. For practical purposes, we can round this to `16470 grams/mol`.

### Final Answer:
The minimum molecular mass of myoglobin is approximately **16470 grams/mol**.