Answer :
Answer:
MW = 24,097 g/mol
Explanation:
The osmotic pressure of a solution is given by the equation:
πV = nRT
where π is the osmotic pressure, V is the volume, R is the gas constant 0.08205 Latm/kmol , and T is the temperature.
n , the number of moles is equal to m/MW, substituting into the equation:
πV = ( mass/MW ) RT
MW = mass x R x T / ( πV )
V is given by the density of solution assumed to be that of water:
d = m/v ⇒ v= m/d = 5.00 g / 1 g/mL = 5.00 mL
The volume we need to convert to liters for units consistency in the metric system:
5.00 mL x 1 L / 1000 mL = 5 x 10⁻³ L
solving for
MW = 0.891 g x 0.08205 Latm/Kmol x ( 22 + 273 )K / (0.179 atm x 5 x 10⁻³ L )
= 24,097 g/mol