Question

What is the formula of Osmotic Pressure?
a.) $\mathrm{\Pi }\text{ = }{\displaystyle \frac{\text{MR}}{\text{T}}}$
b.) $\text{M = i }\mathrm{\Pi }\text{ RT}$
c.) $\text{M = }{\displaystyle \frac{\text{RT}}{\mathrm{\Pi }}}$
d.) $\mathrm{\Pi }\text{ = iMRT}$
e.) $\mathrm{\Pi }\text{ = }{\displaystyle \frac{\text{M}}{\text{RT}}}$

Answer 1

Hint: To know the formula of osmotic pressure, we need to see the definition of osmotic pressure. The description will give us a clear idea about the quantities it represents. The daily life examples of osmotic pressure should also be mentioned.

Complete step-by-step answer:
Let us first know what osmosis means. By osmosis, we expect the net flow or movement of solvent particles through a semipermeable membrane through which solute particles cannot pass.
Talking about osmotic pressure, we mean the minimum pressure, which needs to be applied to a solution to prevent the inward flow of a pure solvent across a semipermeable membrane. It is also defined as a measure of a solution's tendency to take in a pure solvent by osmosis.
The formula of osmotic pressure is given by, $\mathrm{\Pi }\text{ = iMRT}$.
Here,
$\mathrm{\Pi }$ represents the Osmotic Pressure
i represents the van’t Hoff factor
M represents the molar concentration of the solute in the solution
R represents the universal gas constant
T represents the temperature
Therefore, the correct answer among the mentioned options is Option D.
A real-life example of osmotic pressure is that plants always maintain their up-right shape with the help of osmotic pressure. When sufficient water is supplied to the plant, containing several salts, absorbs water and expands. This expansion of plant cells increases the pressure exerted on their cell walls, causing them to stand upright.

Note: Osmotic pressure is a colligative property and is dependent on the concentration of solute particles in the solution. By the semi-permeable membrane that we have mentioned in the answer, we mean that it is a membrane that allows only solvent molecules to flow through it.