An open-end manometer containing mercury is connected to a container of gas, as depicted in Sample Exercise 10.2. What is the pressure of the enclosed gas in torr in each of the following situations? (a) The mercury in the arm attached to the gas is 15.4 mm higher than in the one open to the atmosphere; atmospheric pressure is 0.985 atm.

Video transcript

Hey everyone in this example, we need to calculate the pressure of a gas inside a closed ended mercury nanometer where the height difference is 22.5 cm. Were also given our atmospheric pressure here. So we want to go ahead and first recall the fact that because they used the term close ended. That tells us that our system is close ended. So we have a closed system. And so we can recall that the pressure of our gas is going to equal the height. Whenever this is a fact. Whenever we have a closed system, we have the pressure of our gas equal to height. And so we can go ahead and calculate the pressure of our gas In the Mercury Manama Ter equal to the height difference, which is given as 22.5 cm of mercury for a mercury nanometer. And we're going to recall the conversion factor because we want to end up in units of a TM for our pressure. So we're gonna go from centimeters of mercury to a T. M. By recalling the conversion factor that for one a team of pressure we have 76 centimeters of mercury. And so this allows us to cancel our unit centimeters of mercury leaving us with a T. M. As our final unit of pressure. And this gives us our pressure of our gas, which would equal a value of 0.296 a. T. M's. And so this would complete this example as our final answer for the pressure of our gas inside the closed ended mercury nanometer. If you have any questions, please leave them down below, and I will see everyone in the next practice video.