Question

The osmotic pressure of a dilute solution of a non-volatile solute is
(A) Directly proportional to its temperature on the centigrade scale
(B) Inversely proportional to its temperature on the kelvin scale
(C) Directly proportional to its temperature on the kelvin scale
(D) Inversely proportional to its temperature on the centigrade scale

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 symbol for osmotic pressure is pi ($\pi $). The factors on which osmotic pressure depends are the temperature and the concentration of solute. The formula for osmotic pressure is:
$\pi =icRT$; where $i$= van’t hoff index
 $c$= Concentration of solute
$R$= Gas constant
$T$= Temperature (Kelvin)

From the formula, we can observe that the osmotic pressure of a dilute solution of a non-volatile solute is directly proportional to its temperature on the kelvin scale.
Correct Option: (C) Directly proportional to its temperature on the kelvin scale

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.