Henry's Law

Question

Henry's law constant for CO₂ dissolved in water at 298 K is 1.67 × 10⁸ Pa. What is the mole fraction of CO₂ in water when the partial pressure of CO₂ above the solution is 2.5 × 10⁵ Pa?

RankGuru · Accepted Answer

Henry's law states that the mole fraction of a gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the solution at constant temperature. Mathematically, p = K_H × x, where K_H is Henry's law constant and x is the mole fraction of the dissolved gas. Given: p = 2.5 × 10⁵ Pa, K_H = 1.67 × 10⁸ Pa. Therefore, x(CO₂) = p / K_H = (2.5 × 10⁵) / (1.67 × 10⁸) = 1.497 × 10⁻³ ≈ 1.5 × 10⁻³. Option 1.5 × 10⁻⁴ results from a factor of 10 arithmetic error, perhaps miscounting powers of 10. Option 3.4 × 10⁻³ comes from incorrectly inverting K_H incorrectly or using the wrong value. Option 6.7 × 10⁻³ results from using K_H = 3.73 × 10⁷ Pa instead of the given value. This directly applies the Henry's law equation from NCERT Chemistry Part I, Chapter 2 (Solutions). Henry's law is particularly important for understanding carbonated beverages and deep-sea diving physiology. Plausibility check: a small mole fraction (10⁻³ range) is expected since CO₂ is sparingly soluble in water under moderate pressures.

Henry's Law

Select the correct option:

🔒 Solution Hidden from View

More solutions Practice Questions

The Henry's law constant for oxygen dissolved in water at 298 K is 1.3 × 10³ atm. The partial pressu...

Henry's Law constant (kH) for O2 increases with temperature. Solubility of O2 in water will:

According to Henry's law, the solubility of a gas in a liquid is:

For an ideal solution formed by mixing two liquids at constant temperature, which of the following s...

For a solid solute dissolving in a liquid solvent, which of the following statements correctly descr...

What is the boiling point of a solution containing 6 g of a non-volatile, non-electrolyte solute dis...

Benzoic acid dissolved in benzene shows an abnormally high molar mass when measured by colligative p...

An aqueous solution of an unknown non-electrolyte solute has a freezing point of −0.744°C. Given K_f...

A mixture of two miscible liquids that boils at a constant composition and temperature, lower than e...

A mixture contains 36 g of water and 92 g of ethanol (molar mass 46 g/mol). What is the mole fractio...

The osmotic pressure of a 0.02 M solution of a non-electrolyte at 300 K is closest to which value? (...

Which of the following pairs of liquids is expected to show a positive deviation from Raoult's law a...

About This Question

Solution