Chemistry Calculate Molecular Weight of Polyethylene from Osmotic Pressure

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To calculate the molecular weight of polyethylene from osmotic pressure, the relationship between osmotic pressure, concentration, and molecular weight must be applied. The osmotic pressure of the solution is given as 1.86 torr, with a polyethylene sample mass of 2.06 g in a 100 mL solution. The formula for osmotic pressure (π = cRT) can be used, where c is the concentration in mol/L, R is the ideal gas constant, and T is the temperature in Kelvin. By rearranging the equation to solve for molecular weight, the necessary calculations can be performed. Understanding these relationships is crucial for determining the molecular weight accurately.
mate1000
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WOuld someone be able to give us a hand for this question, I am stumped.
Polyethylene is a synthetic polymer or plastic with many uses. 2.06 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 molecular weight (g mol-1) of the polyethylene? (1 torr = 1 mm Hg, 1 atm = 760 mm Hg)
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How does osmotic pressure depend on the dissolved substances concentrations?
 
You have to make an attempt at the question - what relationships do you know about osmotic pressure and molecular weight?
 
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