The semiconductor industry manufactures integrated circuits in large vacuum chambers where the pressure is 1.0×10^−10 mm of Hg. a. What fraction is this of atmospheric pressure?

Video transcript

Hey, everyone. Let's go through this problem which is fortunately not too complicated. In environmental science, research, researchers use vacuum chambers to simulate the low pressure environment of the earth's atmosphere. The gauge of a chamber reads 0.53 millimeters of mercury, calculate the proportion of the standard atmospheric pressure that this pressure represents. We're given four multiple choice options to choose from. Option A 40.7% option B 0.25% option C 7.0% and option D 2.5%. Since the problem is asking for a proportion, that means that this problem basically comes down to a division problem where we're going to take the pressure in the chamber. I wanna call it P sub chamber and then divide it by the standard atmospheric pressure. This is because the problem is asking for the proportion of the standard atmospheric pressure that the pressure in the chamber represents. So for that sort of proportion, we just need to take the chamber pressure and divide it by the atmospheric pressure. Furthermore, since all the multiple choice options are written as a percentage that implies that we should take this proportion and then multiply it by 100 to convert it from a standard proportion into a percentage. So let's just plug in our numbers. So the pressure in the chamber is told to us by the problem as being 0.53 millimeters of mercury and the atmospheric pressure is something that's generally known to be 760 millimeters of mercury. So we just take that fraction, that proportion and multiply it by 100. And if you put that into a calculator, then we pretty simply find that to be equal to 0.697% which if we round it is about equal to 0.7%. And that is it because that is a percentage and fits with the criteria of the problem. And if we look at our multiple choice options, this exact option is given to us as option A. So option A is the correct answer to this problem. And that is, I hope this video helped you out if you, if there's anything you don't understand or you'd like more practice, check out some of our other videos which will hopefully hopefully give you more experience with these types of problems. That's all for now. I hope you all have a lovely night. Bye bye.