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Solutions question

2024 · Q102
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Solutions question

2024 · Q102

NEETChemistrySolutionsMCQ+4 / −1

The Henry's law constant (KH)(\mathrm{K}_{\mathrm{H}})(KH​) values of three gases (A,B,C)(\mathrm{A}, \mathrm{B}, \mathrm{C})(A,B,C) in water are 145,2×10−5145, 2 \times 10^{-5}145,2×10−5 and 35 kbar35 \mathrm{~kbar}35 kbar respectively. The solubility of these gases in water follow the order:

  1. A
    B > A > C
  2. B
    B > C > A
  3. C
    A > C > B
  4. D
    A > B > C
View written solutionFree

Correct answer: B

According to Henry's law, the solubility of a gas in a liquid under constant temperature is directly proportional to the partial pressure of the gas above the liquid but is inversely proportional to the Henry's law constant $$ (\mathrm{K}_\mathrm{H}) $$ for the gas. Henry's law can be expressed as:

$$\mathrm{c} = \frac{\mathrm{P}}{\mathrm{K}_{\mathrm{H}}}$$

where $ \mathrm{c} $ is the concentration (or solubility) of the gas in the liquid, $ \mathrm{P} $ is the partial pressure of the gas, and $$ \mathrm{K}_{\mathrm{H}} $$ is Henry's law constant.

From the equation, it is clear that the solubility of the gas is inversely related to $$ \mathrm{K}_{\mathrm{H}} $$; if $$ \mathrm{K}_{\mathrm{H}} $$ increases, the solubility decreases, and vice versa.

In the given problem, you have the $$ \mathrm{K}_{\mathrm{H}} $$ values of the gases A, B, and C as follows:

  • A: 145 kbar
  • B: $$ 2 \times 10^{-5} \mathrm{~kbar} $$
  • C: 35 kbar

Comparing the $$ \mathrm{K}_{\mathrm{H}} $$ values:

  • Gas B has the lowest $$ \mathrm{K}_{\mathrm{H}} $$ and hence the highest solubility.
  • Gas A, with the highest $$ \mathrm{K}_{\mathrm{H}} $$ among the three, will have the lowest solubility.
  • Gas C has a $$ \mathrm{K}_{\mathrm{H}} $$ value less than A but greater than B, so its solubility will be lower than B but higher than A.

Therefore, the order of solubility of the gases in water from the highest to the lowest is:

B > C > A

Thus, the correct option is:

Option B: B > C > A

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