A protein subunit from an enzyme is part of a research study and needs to be cha

Question

A protein subunit from an enzyme is part of a research study and needs to be characterized. A total of 0.175
g of this subunit was dissolved in enough water to produce 2.00 mL of solution. At 28 ?C the osmotic pressure produced by the solution was 0.138 atm. What is the molar mass of the protein? Express the molar mass numerically in grams per mole. A protein subunit from an enzyme is part of a research study and needs to be characterized. A total of 0.175
g of this subunit was dissolved in enough water to produce 2.00 mL of solution. At 28 ?C the osmotic pressure produced by the solution was 0.138 atm. What is the molar mass of the protein? Express the molar mass numerically in grams per mole.

Explanation / Answer

Temperature T = 28 deg C = 301.15 K

Molar gas constant R = 0.08206 atm.L/mol.K

Osmotic pressure p = MRT = 0.138 atm


Molarity M = p/RT = 0.138/(0.08206 x 301.15) = 0.005584 M

Moles of protein = volume x molarity

= 2.00/1000 x 0.005584 = 1.117 x 10^(-5) mol


Molar mass = mass/moles of protein

= 0.175/1.117 x 10^(-5)

= 1.57 x 10^4 g/mol

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