Question

Calculate the osmotic pressure of a solution containing 25.8 g of glycerin (C₃H₈O₃) in 261.5 mL of solution at 315 K. Express your answer in atmospheres to three significant figures.

A. 0.082 atm
B. 0.124 atm
C. 0.176 atm
D. 0.215 atm

Answer 1

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.