Final answer:
To calculate the osmotic pressure, you can use the equation π = iMRT. First, calculate the molarity of the solution by dividing the moles of solute by the volume of solution in liters. Then, use the equation π = iMRT, where i is the van't Hoff factor, M is the molarity, R is the ideal gas constant, and T is the temperature in Kelvin. In this case, the osmotic pressure is 23.9 atm.
Step-by-step explanation:
To calculate the osmotic pressure (in atmospheres) of a solution, we can use the equation π = iMRT, where π is the osmotic pressure, i is the van't Hoff factor, M is the molarity of the solution, R is the ideal gas constant, and T is the temperature in Kelvin.
First, we need to calculate the molarity of the solution. The molarity (M) is given by moles of solute divided by the volume of solution in liters. In this case, we have 2.20g of ethylene glycol (C2H6O2) in 52.0 mL of solution. We need to convert the volume to liters: 52.0 mL = 0.0520 L.
Next, we need to find the moles of ethylene glycol by dividing the mass by the molar mass. The molar mass of ethylene glycol is 46.07 g/mol. 2.20g / 46.07 g/mol = 0.0477 mol.
Now we can calculate the molarity: M = 0.0477 mol / 0.0520 L = 0.917 M.
Finally, we can calculate the osmotic pressure using the equation π = iMRT. Here, we use the van't Hoff factor (i) of 1, the ideal gas constant (R) as 0.0821 atm·L/mol·K, and the temperature (T) in Kelvin, which is 25°C + 273.15 = 298.15 K. π = (1)(0.917 M)(0.0821 atm·L/mol·K)(298.15 K) = 23.9 atm.