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In a study designed to prepare new gasoline-resistant coatings, a polymer chemist dissolves 6.053 g of poly (vinyl alcohol) in enough water to make 100.0mL of solution. At,25∘Cthe osmotic pressure of this solution is 0.272 atm. What is the molar mass of polymer sample?

Short Answer

Expert verified

The molar mass of polymer is 5345.785g/mol.

Step by step solution

01

Osmotic pressure

Osmotic pressure is defined as the pressure that must be applied to the solution side to stop fluid movement when a semi-permeable membrane separates a solution from pure water.

02

Calculation of molar mass

In the question it is given that volume of solution is 100L, osmotic pressure 0.272atm, temperature 225∘Cand mass of poly (vinyl alcohol) is 6.053g.

So, we can calculate the molar mass from the equation n=MRT.

Where M is the molarity of solution, R gas constant(0.082L.atm/molK.K)and T temperature.

n=massofpoly(vinylalcohol)molarmassvolumwofsolution(L)RTmolarmass=massofpoly(vinylalcohol)nvolumwofsolution(L)RT=6.053g0.272atm0.1L×0.082L.atm/mol.K×298K=5345.785g/mol

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