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Q1.12:
State Henry’s law and mention some important applications.

Solution :

Definition of Henry's Law

Henry’s Law states that at a constant temperature, the partial pressure of a gas ($p$) in vapor phase is directly proportional to the mole fraction of the gas ($x$) in the solution. This is mathematically expressed as:

$p = K_H \cdot x$

Where:

  • $p$ = Partial pressure of the gas above the liquid.
  • $x$ = Mole fraction of the gas in the solution.
  • $K_H$ = Henry's Law constant (units of pressure, e.g., $\text{bar}$ or $\text{atm}$).

[Per the kinetic molecular theory, $K_H$ is a function of the nature of the gas and the solvent; as temperature increases, $K_H$ increases, leading to a decrease in the solubility of the gas].

Mole Fraction ($x$) Pressure ($p$) Slope = $K_H$

Applications of Henry's Law

Application Scientific Explanation
Carbonated Beverages To increase the solubility of $CO_2$ in soft drinks and soda water, the bottle is sealed under high pressure. When opened, pressure decreases, reducing $K_H$ equilibrium capacity.
Deep-Sea Diving Divers breathing compressed air at high pressure experience increased solubility of atmospheric gases in their blood. Upon surfacing (pressure reduction), nitrogen bubbles form, causing a painful/dangerous medical condition called "bends."
High Altitude Physiology At high altitudes, the partial pressure of oxygen is lower than at ground level. This leads to low blood oxygen levels in climbers, causing hypoxia and difficulty in thinking (anoxia).

Final Solution: Henry's Law establishes that gas solubility in a liquid is proportional to its partial pressure ($p = K_H \cdot x$). Its critical applications include the carbonation of beverages, the mitigation of decompression sickness in deep-sea diving, and the physiological challenges faced by climbers at high altitudes due to low oxygen partial pressure.


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