Question

The osmotic pressure of a dilute solution is \(7 × 10^5\) Pa at \(273K\). Osmotic pressure of the same solution at\(283K\) is _____\(× 10^4 Nm^2\)

Answer 1

Correct Answer: 72.56

The osmotic pressure (\(\pi\)) is given by the formula:

\(\pi = CRT\)

Since concentration (C) and R are constants, we can use the ratio:

\(\frac{\pi_1}{\pi_2} = \frac{T_1}{T_2}\)

Rearranging to find \(\pi_2\):

\(\pi_2 = \pi_1 \cdot \frac{T_2}{T_1} = 7 \times 10^5 \times \frac{283}{273}\)

Calculating \(\pi_2\):

\(\pi_2 = 72.56 \times 10^4 \, \text{Nm}^{-2}\)

Thus, the osmotic pressure at 283 K is approximately:

So, the correct answer is: 72.56 or 73