Question

1 molar solution of non-volatile and non-electrolyte compound will produce an osmotic pressure……….. at ${0^o}C$.
(A) 1 atm
(B) 44.8 atm
(C) 10 atm
(D) 22.4 atm

Answer 1

For calculating the osmotic pressure, we will use the formula $\left( {\pi = CRT} \right)$ where $C$ will be the concentrations, $T$ represents temperature in kelvin and $R$ is gas constant.

Complete step by step answer:
Osmotic pressure is referred to as the minimum pressure which needs to be applied to a solution to prevent the inward flow of its pure solvent across a semipermeable membrane.
It can also be defined as the measure of the tendency of a solution to take in pure solvent by osmosis.
Its formula is $\pi = CRT$
Where $\pi \to$Osmotic Pressure
$C \to$ concentration
$R \to$ Universal gas constant
$T \to$ Temperature
As it is clear from the formula that it is dependent on the concentration. So, it is a colligative property.
In the asked question, we are given
With
Concentration, $C = 1M$
$R = 0.0821$
$T = {0^o}C{\text{ that is 273 K}}$
Substituting in formula $\pi = CRT$
We get,
$\pi = 1 \times 0.0821 \times 273$
$\pi = 22.4{\text{atm}}$

So, the correct answer is Option D .

Note:
Osmotic pressure has no applications. Plants maintain their upright shape with the help of osmotic pressure.
Another important application is in the desalination and purification of sea water which actually deals with reverse osmosis.
It is necessary to note that the equation of osmotic pressure holds true for solutions that behave like ideal solutions.