Question

Calculate the osmotic pressure of a \(0.1\ \text{M}\) solution at \(27^\circ C\).

• A. \(2.46\ \text{atm}\)
• B. \(1.23\ \text{atm}\)
• C. \(0.82\ \text{atm}\)
• D. \(4.10\ \text{atm}\)

Hint:

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

Answer 1

The Correct Option is A

Concept: The osmotic pressure of a dilute solution is given by the formula \[ \pi = CRT \] where \[ C = \text{molar concentration}, \quad R = \text{gas constant}, \quad T = \text{temperature in Kelvin} \]

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

Step 2: Substitute the values. \[ C = 0.1\ M, \quad R = 0.0821\ L\,atm\,mol^{-1}K^{-1} \] \[ \pi = (0.1)(0.0821)(300) \]

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