A protein molecule has a molecular weight of 7.70 × 10⁵g/mol.The mass percent of magnesium in the protein is 3.16 × 10^-3%.How many magnesium atom(s)are there in one protein molecule?

Question

Quizplus · Accepted Answer

To find the number of magnesium atoms in the protein molecule, we can use the mass percent of magnesium and the molecular weight of the protein.

First, we need to convert the mass percent of magnesium into actual mass of magnesium in one protein molecule:

3.16 × 10^-3 g Mg/g protein x 7.70 × 10^11 g protein/mol = 2.4332 x 10^9 g Mg/mol

Next, we need to convert this mass of magnesium into the number of atoms of magnesium:

2.4332 x 10^9 g Mg/mol / 24.305 g Mg/mol = 1.0009 x 10^8 mol Mg/mol

Finally, we can use Avogadro's number to convert from moles to atoms:

1.0009 x 10^8 mol Mg/mol x 6.022 x 10^23 atoms/mol = 6.033 x 10^31 atoms

Therefore, there is only 1 magnesium atom in one protein molecule.

A Protein Molecule Has a Molecular Weight of 7