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Question

Question: What will be the concentration of sucrose solution which develops an osmotic pressure of 2 atm at 27...

What will be the concentration of sucrose solution which develops an osmotic pressure of 2 atm at 27°C?

Answer

The concentration of the sucrose solution is approximately 0.0812 mol/L.

Explanation

Solution

The osmotic pressure (π\pi) is calculated using the formula π=CRT\pi = CRT. Given π=2\pi = 2 atm, T = 27°C = 300 K, and using R = 0.0821 L atm/mol K, the concentration C is found by rearranging the formula to C=πRTC = \frac{\pi}{RT}. Substituting the values gives C=2(0.0821)(300)=224.630.0812C = \frac{2}{(0.0821)(300)} = \frac{2}{24.63} \approx 0.0812 mol/L.