Question

Lysozyme is an enzyme that cleaves cell walls. A 0.100-L sample of a solution of lysozyme that contains 0.0750 g of the enzyme exhibits an osmotic pressure of 1.32 × 10⁻³ atm at 25 °C. Assuming ideal solution behavior, what is the molar mass of lysozyme?

a) 1.06 × 10⁴ g/mol
b) 8.94 × 10³ g/mol
c) 1.25 × 10⁴ g/mol
d) 9.81 × 10³ g/mol

Answer 1

To find the molar mass of lysozyme, we can use the formula: osmotic pressure = (n/V)RT. Given that the osmotic pressure is 1.32 × 10⁻³ atm, the volume is 0.100 L, and the temperature is 25 °C (which is 298 K), we can rearrange the formula to solve for n. The molar mass of lysozyme is 17.52 g/mol.

The correct answer is none of all.

Step-by-step explanation:

To find the molar mass of lysozyme, we can use the formula:

osmotic pressure = (n/V)RT

Where:

n = number of moles of lysozyme

V = volume of the solution

R = ideal gas constant

T = temperature in Kelvin

Given that the osmotic pressure is 1.32 × 10⁻³ atm, the volume is 0.100 L, and the temperature is 25 °C (which is 298 K), we can rearrange the formula to solve for n:

n = (osmotic pressure * V) / (RT)

Substituting the given values, we have:

n = (1.32 × 10⁻³ atm * 0.100 L) / (0.0821 atm L mol⁻¹ K⁻¹ * 298 K)

n = 0.00428 mol

To find the molar mass, we can divide the mass of lysozyme by the number of moles:

Molar mass = mass / number of moles

Molar mass = 0.0750 g / 0.00428 mol

Molar mass = 17.52 g/mol

Therefore, the molar mass of lysozyme is 17.52 g/mol, which is not one of the options given. Since none of the options are close to this value, it is possible that there is an error in the provided options.