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Solve the following.
50 mg of Na₂SO₄ is dissolved in 3 litres of water at 27°C. What would be the osmotic pressure for…
50 mg of $\text{Na}_2\text{SO}_4$ is dissolved in 3 litres of water at $27^\circ\text{C}$. What would be the osmotic pressure for the solution?
Answer
Answer
$\mathrm{Na_2SO_4}$ dissociates completely into 3 ions, so $i = 3$. Molar mass $= 142\text{ g mol}^{-1}$; moles $= \frac{0.050}{142} = 3.52 \times 10^{-4}$; volume $= 3\text{ L}$; $T = 300\text{ K}$.
$\pi = \frac{i\,n\,R\,T}{V} = \frac{3 \times 3.52\times10^{-4} \times 0.0821 \times 300}{3} = 8.67 \times 10^{-3}\text{ atm}$.
(The printed key's $1.23$ atm does not follow from its own working: 50 mg is $0.050$ g.)
Final answer: 8.67e-3 atm