Final answer:
To find the number of monomeric units in a polyethylene molecule with a molar mass of 11500 g, H₂C=CH₂ (28.05 g/mol), resulting in approximately 410 monomeric units.
Step-by-step explanation:
To determine the number of monomeric units in one molecule of polyethylene with a molar mass of 11500 g, we need to use the molecular weight of the monomer unit. The monomer unit of polyethylene is ethylene, H₂C=CH₂, which has a molecular weight of approximately 28.05 g/mol (2 carbons at 12.01 g/mol each plus 4 hydrogens at 1.008 g/mol each).
By dividing the molar mass of the polymer (11500 g) by the molecular weight of the monomer (28.05 g/mol), we can find the number of monomer units in the molecule: 11500 g / 28.05 g/mol = 410.34 monomer units. Since we can't have a fraction of a monomeric unit, we round it to the nearest whole number to get 410 monomeric units for a polyethylene molecule with a molar mass of 11500 g.