Question

Osmotic pressure of a one molar solution at \(27^\circ\text{C}\) is (given \(R = 0.082\)).

• A. \(2.46\,\text{atm}\)
• B. \(12.1\,\text{atm}\)
• C. \(24.6\,\text{atm}\)
• D. \(1.21\,\text{atm}\)

Hint:

Always convert temperature into Kelvin while using gas-law-based formulas.

Answer 1

The Correct Option is C

Step 1: Write the formula for osmotic pressure.
\[ \pi = CRT \] Step 2: Substitute the given values.
\[ C = 1\,\text{M}, \quad R = 0.082\,\text{L atm K}^{-1}\text{mol}^{-1}, \quad T = 27 + 273 = 300\,\text{K} \] Step 3: Calculate osmotic pressure.
\[ \pi = 1 \times 0.082 \times 300 = 24.6\,\text{atm} \] Step 4: Conclusion.
Thus, the osmotic pressure is \(24.6\,\text{atm}\).