1. Tardigrade
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  3. Chemistry
  4. At 10° C, the osmotic pressure of urea solution is 500 mm. The solution is diluted and the temperature is raised to 25° C, when the osmotic pressure is found to be 105.3 mm. Determine extent of dilution ( V 2 / V 1) ?

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Q. At $10^{\circ} C$, the osmotic pressure of urea solution is $500\, mm$. The solution is diluted and the temperature is raised to $25^{\circ} C$, when the osmotic pressure is found to be $105.3\, mm$. Determine extent of dilution $\left( V _{2} / V _{1}\right)$ ?

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Solution:

$P \propto CT$
$\frac{ P _{1}}{ C _{1} T _{1}}=\frac{ P _{2}}{ C _{2} T _{2}}$
$P _{1}=500\, mm\,\, P _{2}=105.3$
$C _{1}= C _{1} \,\,C _{2}=$ ?
$T _{1}=10+273=283\, K$
$\frac{500}{C_{1} \times 283}=\frac{105.3}{C_{2} \times 298}\,\, C_{1}=1 / V_{1}$
$\frac{V_{1} \times 500}{283}=\frac{V_{2} \times 105.3}{298}\,\, C_{2}=1 / V_{2}$
$V_{2}=5 V_{1}$