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A sample of air (containing 20 % O ₂ and 80 % ~N ₂ ) is dissolved in water when total pressure of air is 1 atm . The solubility of N ₂ and O ₂ ( in terms of mole fraction) is x and y . This sample is taken at a height of H above sea level where pressure of air is 0.4 atm and temperature is 300 K and solubility of N ₂ and O ₂ (in terms of mole fraction) is x ^ and y ^ . Assume that value of Henry's constant remains sa

Correct answer

10

Step-by-step solution

Hint : p_A x_A Solution : At sea level p _ N ₂ =0.8 p _ O ₂ =0.2 at height H , P =0.4 ~atm Mole fraction of N ₂ and O ₂ remain in ratio of 4: 1 at any height. aligned & p _ N ₂ =0.4 0.8=0.32 ~atm & p _ O ₂ =0.4 0.2=0.08 ~atm & x = 0.8 k _ h & x ^ = 0.32 k _ h & aligned x x ^ =2.5 and y y ^ =2.5 2 ( x x ^ + y y ^ ) =10 aligned aligned

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