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Q.(a) Henry's law is related to solubility of a gas in liquid.

(i) State Henry's law.
(ii) Write any two applications of Henry's law. (Scores : 2)
(b) 1000 cm3 of an aqueous solution of a protein contains 1.26 gm of the protein. The osmotic pressure of such a solution at 300 K is found to be 2.57 × 10⁻³ bar. Calculate molar mass of the protein. (R = 0.083 L bar mol⁻¹ K⁻¹) (Scores : 2)
Kerala DhseKerala DHSE Plus Two Board 2017Subjective· 4mImportance★★★★★
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Henry's law links a gas's solubility to its partial pressure; using the osmotic-pressure formula on the protein solution gives M ~ 1.22 x 10^4 g/mol.

(a)(i) Henry's law

At a constant temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas in equilibrium with the liquid:

p = KH x

where p is the partial pressure of the gas, x is its mole fraction in the solution, and KH is the Henry's law constant (different for every gas-solvent pair and temperature-dependent).

(a)(ii) Applications

  1. To increase the solubility of CO2 in soft drinks and soda water, the bottle is sealed under high CO2 pressure.
  2. Scuba divers use air diluted with helium (instead of compressed air) because at the high pressures underwater, more N2 dissolves in the blood; on ascending too fast this N2 comes out as bubbles causing decompression sickness ("the bends"). (A related application: at high altitude the partial pressure of O2 is low, so climbers get too little O2 dissolved in their blood, causing anoxia.)

(b) Osmotic pressure calculation

For a dilute solution, van't Hoff's equation gives: …

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