What is the osmotic pressure of a solution containing 0.5 moles of glucose in 1 liter of water at 25 °C?

1 question

1 item

Q: What is the osmotic pressure of a solution containing 0.5 moles of glucose in 1 liter of water at 25 °C?

Solution: Osmotic pressure (π) = iCRT = 1 * 0.5 * 0.0821 * 298 = 12.3 atm.

Steps: 8

Step 1: Identify the formula for osmotic pressure, which is π = iCRT.
Step 2: Determine the values needed for the formula: i (van 't Hoff factor), C (concentration in moles per liter), R (ideal gas constant), and T (temperature in Kelvin).
Step 3: For glucose, the van 't Hoff factor (i) is 1 because it does not dissociate in solution.
Step 4: The concentration (C) is given as 0.5 moles in 1 liter of water, so C = 0.5 mol/L.
Step 5: The ideal gas constant (R) is 0.0821 L·atm/(K·mol).
Step 6: Convert the temperature from Celsius to Kelvin: 25 °C + 273 = 298 K.
Step 7: Plug the values into the osmotic pressure formula: π = 1 * 0.5 * 0.0821 * 298.
Step 8: Calculate the osmotic pressure: π = 1 * 0.5 * 0.0821 * 298 = 12.3 atm.