
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
164.7k+ views
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.
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.
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Chemical Properties of Hydrogen - Important Concepts for JEE Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

Atomic Structure - Electrons, Protons, Neutrons and Atomic Models

Displacement-Time Graph and Velocity-Time Graph for JEE

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

NCERT Solutions for Class 11 Chemistry In Hindi Chapter 1 Some Basic Concepts of Chemistry

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

NCERT Solutions for Class 11 Chemistry Chapter 7 Redox Reaction

Instantaneous Velocity - Formula based Examples for JEE

Thermodynamics Class 11 Notes: CBSE Chapter 5
