Question

If osmotic pressure of a solution is $2atm$ at $273K$, then at $546K$, the osmotic pressure is
(A) $0.5atm$
(B) $1atm$
(C) $2atm$
(D) $4atm$

Answer 1

Hint: The minimum pressure which is required to be applied to the solution to prevent the inward flow of the solvent across a semipermeable membrane is known as osmotic pressure. This process is known as osmosis. If there is no osmotic pressure, there will be no movement of solvent. It is a unidirectional process. It tends to make the concentration of solute across the two sides of the membrane equal.

Complete Step by Step Answer:
The formula for the osmotic pressure of a solution is:
$\pi =icRT$; where $i$= van’t hoff index
$c$= Concentration of solute
$R$= Gas constant
$T$= Temperature (Kelvin)
$\pi $= Osmotic pressure

It is given that at $273K$, the osmotic pressure is $2atm$. We have to find the osmotic pressure at $546K$, which is double than $273K$. From the above formula, we can observe that the osmotic pressure is directly proportional to the temperature.
$\pi \alpha T$
If the value of temperature is doubled, then the osmotic pressure will also be doubled.
$\pi =2\times 2atm$
$\pi =4atm$
Hence, at $546K$, the osmotic pressure of a solution is $4atm$
Correct option: (D) $4atm$.

Note: The process of osmosis is important for the human body. In the human body, osmosis occurs in the small and large intestines. It plays an important role in the gastro-intestinal system and kidneys. It helps in getting all the essential nutrients from our food and also removes the waste products from the blood.