8. Polyethylene is a synthetic polymer or plastic with many uses. 1.44 g of a polyethylene sample was dissolved in enough benzene to make 100. mL of solution, and the osmotic pressure was found to be 1.86 torr at 25oC. What is the approximate molar mass of the polyethylene?

The approximate molar mass of the polyethylene is 143,723.7 g/mol

Step-by-step explanation:

From the ideal gas equation

PV = mRT/MW

MW = mRT/PV

m = 1.44 g

R = 82.057 cm^3.atm/gmol.K T = 25°C = 25+273 = 298 K

P = 1.86 torr = 1.86/760 = 0.00245 atm

V = 100 mL = 100 cm^3

MW = 1.44×82.057×298/0.00245×100 = 143,723.7 g/mol