Air pollution in the Mexico City metropolitan area is among the worst in the world. The concentration of ozone in Mexico City has been measured at 441 ppb (0.441 ppm). Mexico City sits at an altitude of 7400 feet, which means its atmospheric pressure is only 0.67 atm. (a) Calculate the partial pressure of ozone at 441 ppb if the atmospheric pressure is 0.67 atm.

Video transcript

Hi everyone for this problem, we're told to consider the following scenario, A warehouse had a carbon monoxide leak and it was measured that the concentration of carbon monoxide in the warehouse is 100 and 15 parts per million, calculate the partial pressure of carbon monoxide in the warehouse if the atmospheric pressure is 150.950 A. T. M. So our goal here is to calculate the partial pressure of carbon monoxide. So let's recall what partial pressure means. So our partial pressure of carbon monoxide is going to equal our mole fraction of carbon monoxide times our total pressure. Okay, So in the problem, they tell us what our total pressure is. Our total pressure is equal to zero .950 A. T. M. But we don't know what our mole fraction of carbon monoxide is. So let's go ahead and solve for that. So, we're told that we have 115 parts per million of carbon monoxide. What parts per million means is we have 100 and 15 moles of carbon monoxide over one times to the sixth moles of carbon monoxide. That's what our parts per million equates to. So when we simplify this out, we get 115 parts per million is going to equal 1.15 times 10 to the negative four. And this is going to be our mole fraction of carbon monoxide. So now we have what we need to calculate the parse pressure of carbon monoxide. So our partial pressure is going to equal our mole fraction, which we just solved for is 1. times 10 to the negative four times our total pressure of 0.950 a t. M. So once we solve that, we'll get a partial pressure of 1. times 10 to the negative four a. T. M. And this is going to be our final answer. This is the partial pressure of carbon monoxide in the warehouse that sienna. This problem, I hope this was helpful.