Question

There are four iron atoms in each hemoglobin molecule. The mass percent of iron in a hemoglobin molecule is \(0.35 \%\). Estimate the molar mass of hemoglobin.

Short answer

Answer: The molar mass of hemoglobin is approximately 63828.6 g/mol.

Step-by-step solution

Identify Given Information

We are given the following information: - There are 4 iron atoms in each hemoglobin molecule. - The mass percent of iron in a hemoglobin molecule is \(0.35 \%\). We need to find the molar mass of hemoglobin.

Determine Iron's Atomic Mass

To determine the mass of iron in hemoglobin, we need the atomic mass of iron. The atomic mass of iron (Fe) is approximately \(55.8 \frac{g}{mol}\).

Calculate the Mass of Iron in Hemoglobin

Since there are 4 iron atoms in each hemoglobin molecule, we need to calculate the total mass of iron in a hemoglobin molecule. The mass of iron in hemoglobin is: Mass of Iron = 4 * Atomic Mass of Iron Mass of Iron = \(4 * 55.8 \frac{g}{mol} = 223.2 \frac{g}{mol}\)

Calculate the Mass of Hemoglobin

We know that the mass of iron in hemoglobin makes up \(0.35 \%\) of the total mass of hemoglobin. We will use this information to find the total mass of hemoglobin. Let the mass of hemoglobin be M. \(0.35 \%\) of M = Mass of Iron \(0.0035 * M = 223.2 \frac{g}{mol}\) To find the value of M, divide both sides of the equation by \(0.0035\): \(M = \frac{223.2 \frac{g}{mol}}{0.0035} = 63828.6 \frac{g}{mol}\)

Determine and Present the Final Answer

We found that the molar mass of hemoglobin is approximately \(63828.6 \frac{g}{mol}\). Therefore, the molar mass of hemoglobin is estimated to be \(63828.6 \frac{g}{mol}\).