Question

The largest value of Henry’s law constant for the liquid solvent ${{\rm{H}}_{\rm{2}}}{\rm{O}}$ will be obtained with …………….. gas as the solute and a temperature of …………… ${\rm{^\circ C}}$
A. ${{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}{\rm{,}}\;{\rm{45}}$
B. ${\rm{Ar,}}\;{\rm{11}}$
C. ${\rm{HCl,}}\;{\rm{49}}$
D. ${\rm{C}}{{\rm{O}}_2},\;32$

Answer 1

Hint: We know that solubility is that sort of property which is generally used to refer the capacity for the given substance; they are the solute, which is used to dissolve in any given solvent. Solubility is usually measured as the extreme amount of solute which dissolved in the given solvent at the equilibrium state. This resultant solution is termed as a saturated solution.

Complete step by step answer:
As we all know, Henry's law can be explained with the help of pressure and moles' solubility per liter. The mathematical representation of Henry's law is shown below.
${\rm{P}} = {\rm{KS}}$
Where, S is the solubility in moles per liter, K is Henry's law constant, and P is the pressure in atm.
When the temperature of the species is greater, then the solubility of gas will be lower or lesser, and the value of partial pressure and the value of Henry's law constant will also be greater.
Thus, the major value of Henry's law constant at extreme temperature that is ${\rm{49^\circ C}}$, but the HCl molecule is polar and it easily dissociates as ions in the water, hence, it cannot be the right answer.
Also, the value of Henry’s constant extreme for ${{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}$ gas as it also has the lowest solubility in the water.
Therefore, the correct option for this question is A.
Note:
The application of Henry’s law generally seen in the carbonated soft drinks bottle the bubble is produced by carbon dioxide and it has lower pressure above the liquid.