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1.Solution and Colligative properties
medium
जल में $25^{\circ} C$ पर $Ar, CO _2, CH _4$, एवं $O _2$ के हेनरी नियम स्थिरांक के मान क्रमशः $40.30,1.67,0.41$ and $34.86 \,k\,barहै।$ उसी ताप एवं दाव पर जल में उनकी विलेयता का क्रम क्या है?
A$Ar \,>\, O _{2}\,>\, CO _{2}\,>\, CH _{4}$
B$CH _{4}\,>\, CO _{2}\,>\, Ar \,>\, O _{2}$
C$CH _{4}\,>\, CO _{2}\,>\, O _{2}\,>\, Ar$
D$Ar\, >\, CH _{4}\,>\, O _{2}\,>\, CO _{2}$
(KVPY-2019)
Solution
(c) By Henry's law,
$p_{\text {gas }} \propto X_{\text {gas }}$ (in liquid solution)
and $p_{\text {gas }}=K_{ H } \times \chi_{\text {gas }}$
$K_{ H }=$ Henry's law constant.
$\therefore$ At a given partial pressure of gas,
$K_{ H } \propto \frac{1}{\chi_{\text {gas }}}$
$\therefore$ The greater the value of $K_{H}$, the less its solubility.
Here, $K_{ H }$ of $Ar\, >\, O _{2}\,>\, CO _{2}\,>\, CH _{4}$.
$\therefore$ Solubility of $CH _{4}\,>\, CO _{2}\,> \,O _{2}> Ar$.
$p_{\text {gas }} \propto X_{\text {gas }}$ (in liquid solution)
and $p_{\text {gas }}=K_{ H } \times \chi_{\text {gas }}$
$K_{ H }=$ Henry's law constant.
$\therefore$ At a given partial pressure of gas,
$K_{ H } \propto \frac{1}{\chi_{\text {gas }}}$
$\therefore$ The greater the value of $K_{H}$, the less its solubility.
Here, $K_{ H }$ of $Ar\, >\, O _{2}\,>\, CO _{2}\,>\, CH _{4}$.
$\therefore$ Solubility of $CH _{4}\,>\, CO _{2}\,> \,O _{2}> Ar$.
Standard 12
Chemistry
