Pakistan’s K2 is the world’s second-tallest mountain, with an alt...

Question

Pakistan’s K2 is the world’s second-tallest mountain, with an altitude of 28,251 ft. Its base camp, where climbers stop to acclimate, is located about 16,400 ft above sea level. (c) Assuming the mole fraction of oxygen in air is 0.2095, what is the partial pressure of oxygen in mm Hg at the summit of K2?

Accepted Answer

Hi everyone. This problem reads the air pressure on top of the world's tallest mountain is 253 mm of mercury. If the mole fraction of nitrogen gas and air is .7808, what is its partial pay pressure in millimeters of mercury at the summit of the mountain. Okay. So what we want to answer here is the partial pressure and millimeters of mercury. Okay, And let's recall that the partial pressure of the gas is equal to the mole fraction of the gas where mole fraction is represented by X. So the mole fraction of the gas times the total pressure. Okay, so we have the mole fraction. The mole fraction is given in the problem, we're told the mole fraction of nitrogen gas is 0.7808. Okay, so let's go ahead and write that here. The mole fraction is 0.7808. And the Total pressure were given that as well, we're told it is 253 mm of mercury. Okay, so we have mm of mercury. Alright, so this calculation is going to give us the partial pressure in millimeters of mercury. So let's go ahead and do that calculation. And when we do that, our gas is nitrogen gas. So let's go ahead and replace gas with end to so our pressure pressure of nitrogen gas is 100 and 98 millimeters of mercury. And this is going to be our final answer. Okay, so that's it for this problem? I hope this was helpful

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