Part of PC-05 — Solutions & Colligative Properties

Henry's Law — Gas Solubility in Liquids

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Formula? | p=KH×xp = K_H \times x where p = partial pressure of gas above solution, K_H = Henry's law constant, x = mole fraction of gas in solution

What is K_H? | Henry's law constant (units: atm or bar). It is CHARACTERISTIC of gas-solvent pair. Higher K_H = lower solubility at same pressure.

Temperature effect? | K_H INCREASES with temperature → x decreases for same p → gas becomes LESS soluble in hot liquids

Application 1: | Carbonated beverages: Bottled under high CO2CO_{2} pressure. On opening, pressure drops → CO2CO_{2} solubility decreases → fizzing (bubbles form)

Application 2: | Deep sea divers ("the bends"): At depth, high pressure dissolves N2N_{2} in blood. Rapid ascent → pressure drops → N2N_{2} bubbles form in tissues and blood vessels → decompression sickness. Prevention: slow ascent, use He-O2O_{2} mixture.

Limitations: | Henry's law applies only to dilute solutions of gases that do NOT react with or dissociate in the solvent (e.g., CO2CO_{2} technically reacts, but law approximately holds at moderate pressures).

Summary

Henry's law: p = K_H × x. Gas solubility decreases with temperature. High pressure increases gas solubility. Both carbonation and the bends are direct applications of Henry's law.

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