Question

Find the osmotic pressure of a \(0.1\,M\) glucose solution at \(27^\circ C\) \((R = 0.0821\,L\,atm\,mol^{-1}K^{-1})\).

• A. \(1.23\,atm\)
• B. \(2.46\,atm\)
• C. \(3.46\,atm\)
• D. \(4.10\,atm\)

Hint:

Always convert temperature to Kelvin before using the osmotic pressure formula \(\pi = CRT\).

Answer 1

The Correct Option is B

Concept: The osmotic pressure of a dilute solution is given by the van't Hoff equation: \[ \pi = CRT \] where
• \(\pi\) = osmotic pressure
• \(C\) = molar concentration
• \(R\) = gas constant
• \(T\) = temperature in Kelvin

Step 1: Convert the temperature to Kelvin. \[ T = 27^\circ C + 273 \] \[ T = 300\,K \]

Step 2: Substitute the values in the formula. \[ \pi = (0.1)(0.0821)(300) \]

Step 3: Calculate the osmotic pressure. \[ \pi = 2.463 \] \[ \pi \approx 2.46\,atm \] Thus, \[ \boxed{2.46\,atm} \]