A solution is prepared by dissolving of a non-volatile non-electrolyte solute A of molar mass and of a non-volatile non-electrolyte solute B of molar mass in at . Osmotic pressure of the solution will be
[Given: ]
- A
- B
- C
- D
A solution is prepared by dissolving of a non-volatile non-electrolyte solute A of molar mass and of a non-volatile non-electrolyte solute B of molar mass in at . Osmotic pressure of the solution will be
[Given: ]
Correct answer:C
Standard Method
Given:
Find: Osmotic pressure of the solution.
For non-electrolytes, osmotic pressure depends only on the total number of solute particles present in the solution.
Step 1: Calculate moles of solute A.
Step 2: Calculate moles of solute B.
Step 3: Calculate total moles of solute.
Step 4: Apply osmotic pressure formula.
Conclusion: The osmotic pressure of the solution is . Therefore, the correct option is C.
Particle Count Approach
Given: Both solutes are non-volatile and non-electrolytes.
Find: Which option matches the osmotic pressure.
Since both solutes are non-electrolytes, neither dissociates in water. Therefore, the effective number of solute particles is obtained by adding their moles directly.
Now use
Thus, the correct option is C.
Adding the given masses directly and using as if the mixture had one molar mass is incorrect, because solutes A and B have different molar masses. First calculate moles of each solute separately, then add the moles.
Using only one solute in the osmotic pressure formula is incorrect, because osmotic pressure depends on the total number of dissolved particles. Both non-electrolyte solutes contribute to the final value.
Using as the temperature in the formula is wrong, because the gas law form of osmotic pressure requires temperature in kelvin. Convert to before substitution.
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