Lysozyme is an enzyme that cleaves cell walls. A 0.100-L sample of a solution of lysozyme that c

step 1 To determine the molar mass of lysosine, we need to know the mass of lysosine, which was provide

Lysozyme is an enzyme that cleaves cell walls. A 0.100-L...

Lysozyme is an enzyme that cleaves cell walls. A $0.100-\mathrm{L}$ sample of a solution of lysozyme that contains 0.0750 $\mathrm{g}$ of the enzyme exhibits an osmotic pressure of $1.32 \times 10^{-3} \mathrm{atm}$ at $25^{\circ} \mathrm{C}$ . What is the molar mass of lysozyme?

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Key Concepts

Molar Mass Determination

Molar mass determination involves calculating the mass of one mole of a substance. By relating the experimentally measured osmotic pressure to the number of moles of solute using the van’t Hoff equation, one can derive the molar mass of the solute.

Colligative Properties

These are properties of solutions that depend on the number of solute particles rather than their identity. They include boiling point elevation, freezing point depression, and osmotic pressure, and are useful in determining molecular weights of solutes.

Osmotic Pressure

Osmotic pressure is the pressure needed to stop the net flow of solvent across a semipermeable membrane separating a solution from pure solvent. It is a colligative property that can be directly related to the concentration of solute particles using the van’t Hoff equation.

van’t Hoff Equation

This equation, expressed as ? = MRT (where ? is the osmotic pressure, M is the molarity, R is the ideal gas constant, and T is the absolute temperature), is used to relate osmotic pressure to solute concentration. It plays a crucial role in calculating the molar mass of a solute from its osmotic pressure data.

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