Macmillan earning A newly discovered metalloprotein, which contains two atoms of Cd per molecule of protein, is found to be 0.787% Cd by mass. Calculate the molar mass of the metalloprotein. molar mass: g/mol

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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How can we find out the molar mass ?
**Question:**

A newly discovered metalloprotein, which contains two atoms of Cd per molecule of protein, is found to be 0.787% Cd by mass. Calculate the molar mass of the metalloprotein.

**Answer Box:**

\[ \text{Molar mass:} \quad \underline{\qquad} \quad \text{g/mol} \]

---

**Explanation:**

In this problem, we are asked to find the molar mass of a metalloprotein that contains cadmium (Cd). We know the following:

- The protein contains two atoms of Cd per molecule.
- Cd makes up 0.787% of the protein by mass.

To calculate the molar mass of the metalloprotein, follow these steps:

1. **Calculate the mass of Cd in the protein:**
   - Find the molar mass of cadmium (Cd), which is approximately 112.41 g/mol.
   
2. **Set up the equation:**
   - Let \( x \) be the molar mass of the metalloprotein.
   - Since Cd is 0.787% of the metalloprotein, you can set up the proportion:
   \[
   \frac{2 \times 112.41}{x} = \frac{0.787}{100}
   \]

3. **Solve for \( x \):**
   - Rearrange and solve the equation to find the molar mass of the metalloprotein.

This calculation will give the molar mass in grams per mole, reflecting the overall mass of the protein with cadmium incorporated.
Transcribed Image Text:**Question:** A newly discovered metalloprotein, which contains two atoms of Cd per molecule of protein, is found to be 0.787% Cd by mass. Calculate the molar mass of the metalloprotein. **Answer Box:** \[ \text{Molar mass:} \quad \underline{\qquad} \quad \text{g/mol} \] --- **Explanation:** In this problem, we are asked to find the molar mass of a metalloprotein that contains cadmium (Cd). We know the following: - The protein contains two atoms of Cd per molecule. - Cd makes up 0.787% of the protein by mass. To calculate the molar mass of the metalloprotein, follow these steps: 1. **Calculate the mass of Cd in the protein:** - Find the molar mass of cadmium (Cd), which is approximately 112.41 g/mol. 2. **Set up the equation:** - Let \( x \) be the molar mass of the metalloprotein. - Since Cd is 0.787% of the metalloprotein, you can set up the proportion: \[ \frac{2 \times 112.41}{x} = \frac{0.787}{100} \] 3. **Solve for \( x \):** - Rearrange and solve the equation to find the molar mass of the metalloprotein. This calculation will give the molar mass in grams per mole, reflecting the overall mass of the protein with cadmium incorporated.
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