Question

There are limitations to the amount of pressure that can be applied during reverse osmosis because of the physical nature of the membrane. A membrane has been developed that can withstand osmotic pressures, Π, of up to 1.52×105 torr . Calculate the maximum molar concentration of a solution that can be purified by reverse osmosis using this membrane at 25 ∘C.

Answer 1

8.18 M

Step-by-step explanation:

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

π = M . R . T

where,

M: molarity

R: ideal gas constant

T: absolute temperature

The absolute temperature is 25 + 273 = 298 K.

The osmotic pressure (in atm) is:

`1.52 * 10^(5) torr.(1atm)/(760torr) =200atm`

π = M . R . T

200 atm = M . (0.08206 atm.L/mol.K) . 298 K

M = 8.18 mol/L