Formula for osmotic pressure:
\[ \pi = i M R T \]
Where:
π = osmotic pressure
i = van’t Hoff factor
M = molarity
R = gas constant
T = temperature
Step 1: Identify values
π = 12 atm
T = 300 K
R = 0.08 L atm K⁻¹ mol⁻¹
NaCl dissociates completely:
\[ NaCl \rightarrow Na^+ + Cl^- \]
Number of particles formed = 2
Therefore,
\[ i = 2 \]
Step 2: Substitute in formula
\[ 12 = 2 \times M \times 0.08 \times 300 \]
\[ 12 = 2 \times M \times 24 \]
\[ 12 = 48M \]
\[ M = \frac{12}{48} \]
\[ M = 0.25 \text{ mol L}^{-1} \]
Step 3: Convert molarity to strength (g L⁻¹)
Molar mass of NaCl:
\[ 23 + 35.5 = 58.5 \text{ g mol}^{-1} \]
Strength = M × molar mass
\[ = 0.25 \times 58.5 \]
\[ = 14.625 \text{ g L}^{-1} \]
Nearest integer = 15 g L⁻¹
Final Answer = 15
Updated for JEE Main 2026: This PYQ is important for JEE Mains, JEE Advanced and other competitive exams. Practice more questions from this chapter.