Question:
Determine the amount of CaCl2 (i = 2.47) dissolved in 2.5 litre of water such that its osmotic pressure is 0.75 atm at 27°C.
Solution:
We know that,
$\pi=i \frac{n}{V} \mathrm{R} T$
$\Rightarrow \pi=i \frac{w}{M V} \mathrm{R} T$
$\Rightarrow w=\frac{\pi M V}{i \mathrm{R} T}$
$\pi=0.75 \mathrm{~atm}$
$V=2.5 \mathrm{~L}$
$i=2.47$
$T=(27+273) \mathrm{K}=300 \mathrm{~K}$
Here,
R = 0.0821 L atm K-1mol-1
M = 1 × 40 + 2 × 35.5
= 111g mol-1
Therefore, $w=\frac{0.75 \times 111 \times 2.5}{2.47 \times 0.0821 \times 300}$
= 3.42 g
Hence, the required amount of CaCl2 is 3.42 g.