Questions: What is the relationship of osmotic pressure to the number of solute particles in a solution?
Multiple Choice
The lower the number of impermeant solute particles, the greater the osmotic pressure.
The greater the osmotic pressure, the lower the number of impermeant solute particles.
The greater the number of impermeant solute particles, the lower the osmotic pressure.
Transcript text: What is the relationship of osmotic pressure to the number of solute particles in a solution?
Multiple Choice
The lower the number of impermeant solute particles, the greater the osmotic pressure.
The greater the osmotic pressure, the lower the number of impermeant solute particles.
The greater the number of impermeant solute particles, the lower the osmotic pressure.
Solution
Solution Steps
Step 1: Understanding Osmotic Pressure
Osmotic pressure is the pressure required to stop the flow of solvent molecules through a semipermeable membrane from a region of lower solute concentration to a region of higher solute concentration. It is directly related to the number of solute particles in the solution.
Step 2: Relationship Between Osmotic Pressure and Solute Particles
The osmotic pressure (\(\Pi\)) of a solution can be described by the formula:
\[
\Pi = iMRT
\]
where:
\(i\) is the van 't Hoff factor (number of particles the solute dissociates into),
\(M\) is the molarity of the solution,
\(R\) is the gas constant,
\(T\) is the temperature in Kelvin.
Step 3: Analyzing the Options
Option 1: "The lower the number of impermeant solute particles, the greater the osmotic pressure." This is incorrect because osmotic pressure increases with the number of solute particles.
Option 2: "The greater the osmotic pressure, the lower the number of impermeant solute particles." This is incorrect because greater osmotic pressure corresponds to a higher number of solute particles.
Option 3: "The greater the number of impermeant solute particles, the lower the osmotic pressure." This is incorrect because a greater number of solute particles results in higher osmotic pressure.
Final Answer
The correct relationship is that the greater the number of impermeant solute particles, the greater the osmotic pressure.
\(\boxed{\text{None of the given options are correct}}\)