Answer: The molar mass of the unknown compound is 18765.7 g/mol
Explanation:
[tex]\pi =CRT[/tex]
[tex]\pi[/tex] = osmotic pressure = 0.0105 atm
C= concentration in Molarity
R= solution constant = 0.0821 Latm/Kmol
T= temperature = 300 K
For the given solution: 200 mg or 0.2 grams of unknown compound is dissolved in 25 ml of solution.
[tex]Molarity=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{volume of solution in ml}}[/tex]
Putting in the values we get:
[tex]C=\frac{0.2\times 1000}{M\times 25}[/tex]
[tex]0.0105 =\frac{0.2\times 1000}{M\times 25}\times 0.0821\times 300[/tex]
[tex]M=18765.7g/mol[/tex]
The molar mass of the unknown compound is 18765.7 g/mol
