Final answer:
To calculate the osmotic pressure, we find the molarity of the solution by dividing the number of moles of ethanol by the volume of the solution. Then, we use the osmotic pressure formula with the gas constant and the temperature in Kelvin. The osmotic pressure is approximately 0.60 atm.
Step-by-step explanation:
The osmotic pressure of a solution can be calculated using the formula Π = MRT, where Π is the osmotic pressure in atm, M is the molarity of the solution in mol/L, R is the gas constant, and T is the temperature in Kelvin. To find the molarity, we first need to determine the number of moles of ethanol, C2H6O, which is given by the mass of ethanol divided by its molar mass. Using the information provided:
- Mass of ethanol = 0.83 g
- Molar mass of ethanol (C2H6O) = 2(12.01) + 6(1.008) + 16.00 = 46.068 g/mol
- Moles of ethanol = 0.83 g / 46.068 g/mol = 0.018 mol
- Molarity (M) = moles of solute / liters of solution = 0.018 mol / 0.75 L = 0.024 M
- Temperature (T) = 30°C = 30 + 273.15 = 303.15 K
Now, we can substitute these values into the osmotic pressure equation:
Π = (0.024 mol/L)(0.08206 L atm/mol K)(303.15 K) = 0.593 atm
Therefore, the osmotic pressure of this solution is approximately 0.60 atm.