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The Henry's law constant KHK_H values of three gases (A, B, C) in water are 145, 2×1052 \times 10^{-5}, and 35 kbar, respectively. Determine the order of solubility of these gases in water from highest to lowest:

A

B > C > A

B

A > C > B

C

A > B > C

D

B > A > C

Step-by-Step Solution

According to Henry's law, the partial pressure of a gas in the vapour phase (pp) is directly proportional to its mole fraction (xx) in the solution, 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 the solubility of the gas in the liquid .

Given the KHK_H values: KH(A)=145 kbarK_H(\text{A}) = 145 \text{ kbar} KH(B)=2×105 kbarK_H(\text{B}) = 2 \times 10^{-5} \text{ kbar} KH(C)=35 kbarK_H(\text{C}) = 35 \text{ kbar}

The decreasing order of KHK_H values is A > C > B. Since solubility is inversely proportional to KHK_H, the decreasing order of solubility will be exactly the reverse: B > C > A.

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