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:

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Answer:

c = π / R × T

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