The ratio of N ₂ and O ₂ gases in the atmosphere is 4: 1 . The ratio of the mole fractions of the dissolved gases N ₂: O ₂ in rain water will be approximately ------- (At 293 ~K , ~K _ H for Nitrogen and Oxygen in kbar units are 76.48 and 34.86 respectively.)

Step-by-step solution

According to Henry's Law, the solubility of a gas in a liquid is given by P = K_ H x , where P is the partial pressure of the gas, K_ H is the Henry's law constant, and x is the mole fraction of the gas in the liquid. The partial pressure of a gas is proportional to its mole fraction in the gas phase. Given the ratio of N ₂ and O ₂ in the atmosphere is 4:1 , we have P_ N ₂ = 4P and P_ O ₂ = 1P for some constant P . The mole fractions of the dissolved gases are x_ N ₂ = P_ N ₂ K_ H, N ₂ and x_ O ₂ = P_ O ₂ K_ H, O ₂