Question

Calculate the osmotic pressure of \(0.1\,M\) glucose at \(27^\circ C\).

• A. \(1.23\ \text{atm}\)
• B. \(2.46\ \text{atm}\)
• C. \(4.92\ \text{atm}\)
• D. \(0.82\ \text{atm}\)

Hint:

Osmotic pressure formula: \[ \pi = iCRT \] For non-electrolytes (like glucose), \(i=1\). Always convert temperature to Kelvin.

Answer 1

The Correct Option is B

Concept: Osmotic pressure is given by the formula \[ \pi = CRT \] where
• \(C\) = molar concentration
• \(R\) = gas constant \((0.0821\ \text{L atm mol}^{-1}\text{K}^{-1})\)
• \(T\) = temperature in Kelvin For non-electrolytes like glucose, the Van't Hoff factor \(i=1\).

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

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

Step 3: Simplify the expression. \[ \pi = 2.463 \approx 2.46\ \text{atm} \] \[ \boxed{2.46\ \text{atm}} \]