Final answer:
To calculate the osmotic pressure of the mannitol solution, use Equation 14.6.14. Calculate the concentration of the mannitol solution and then use the equation to find the osmotic pressure.
Step-by-step explanation:
To calculate the osmotic pressure of the mannitol solution, we need to use Equation 14.6.14. The osmotic pressure (II) is equal to the molar concentration (M), the ideal gas constant (R), and the temperature in Kelvin (T). Calculate the concentration of the mannitol solution and then use the equation to find the osmotic pressure.
Example: If the concentration of the mannitol solution is 0.5 M and the temperature is 298 K, the osmotic pressure would be II = (0.5 M)(0.0821 L atm/mol K)(298 K) = 12.15 atm.