Final answer:
To calculate the osmotic pressure of a solution, use the equation π = (n/V)RT. Convert grams to moles, mL to L, and substitute the values into the equation to solve for osmotic pressure.
Step-by-step explanation:
To calculate the osmotic pressure of a solution, we can use the following equation: π = (n/V)RT. Here, π is the osmotic pressure, n is the number of moles of solute, V is the volume of the solution, R is the ideal gas constant (0.0821 L·atm/(mol·K)), and T is the temperature in Kelvin. First, we need to calculate the number of moles of glycerin in the solution:
Number of moles = mass of glycerin / molar mass of glycerin
Next, we convert the volume of the solution from mL to L:
Volume of solution (L) = 261.5 mL / 1000
Now, we can substitute these values into the osmotic pressure equation and solve for π:
π = (n/V)RT
Make sure to convert the final answer to three significant figures and express it in atmospheres.