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KHK_H values for some gases at the same temperature 'T' are given: Gas : KHK_H/k bar Ar : 40.3 CO2CO_2 : 1.67 HCHO : 1.83×1051.83 \times 10^{-5} CH4CH_4 : 0.413 KHK_H is Henry's Law constant in water. The order of their solubility in water is :

A

Ar < CO2CO_2 < CH4CH_4 < HCHO

B

Ar < CH4CH_4 < CO2CO_2 < HCHO

C

HCHO < CO2CO_2 < CH4CH_4 < Ar

D

HCHO < CH4CH_4 < CO2CO_2 < Ar

Step-by-Step Solution

According to Henry's law, the partial pressure of a gas in vapour phase (pp) is proportional to the mole fraction of the gas (xx) in the solution, and is expressed as p=KHxp = K_H x. This implies that at a constant pressure, the higher the value of Henry's law constant (KHK_H), the lower is the solubility of the gas in the liquid .

Given KHK_H values: Ar = 40.3 kbar CO2CO_2 = 1.67 kbar CH4CH_4 = 0.413 kbar HCHO = 1.83×1051.83 \times 10^{-5} kbar

Since the decreasing order of KHK_H is Ar > CO2CO_2 > CH4CH_4 > HCHO, the increasing order of solubility will be the exact reverse: Ar < CO2CO_2 < CH4CH_4 < HCHO.

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