Question

The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant . Suppose the osmotic pressure of a certain solution is measured to be at an absolute temperature of . Write an equation that will let you calculate the molarity of this solution. Your equation should contain only symbols. Be sure you define each symbol other than . Your equation: Definitions of your symbols:

Answer 1

c = π / R × T

Step-by-step explanation:

The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R . Suppose the osmotic pressure of a certain solution is measured to be 22 atm at an absolute temperature of 353 K. Write an equation that will let you calculate the molarity c of this solution. Your equation should contain only symbols. Be sure you define each symbol other than R.

Step 1: Given data and definition of the symbols

• Osmotic pressure (π): 2.2 atm

• Molarity of the solution (c): ?

• Ideal gas constant (R): 0.08206 atm.L/mol.K

• Absolute temperature (T): 353 K

Step 2: Write an equation that will let you calculate the molarity of this solution, in terms of symbols

The osmotic pressure is a colligative property that can be calculated using the following expression.

π = c × R × T

We can rearrange this expression to calculate the molarity of the solution.

c = π / R × T