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Atop Mt. Everest, the atmospheric pressure is $210 \mathrm{mmHg}$ and the air density is $0.426 \mathrm{kg} / \mathrm{m}^{3}$(a) Calculate the air temperature, given that the molar mass of air is $29.0 \mathrm{g} / \mathrm{mol} .$ (b) Assuming no change in air composition, calculate the percent decrease in oxygen gas from sea level to the top of Mt. Everest.

(a) $-44^{\circ} \mathrm{C}$(b) $72.3 \%$

Chemistry 101

Chapter 5

Gases

Carleton College

Rice University

University of Maryland - University College

Lectures

05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

04:25

Atop Mt. Everest, the atmo…

00:36

The summit elevation of M…

01:39

The atmospheric pressure o…

02:53

The pressure on top of Mou…

03:25

The typical atmospheric pr…

05:43

03:32

The air density at the top…

This is question 134 from Chapter 11 and it is a question about not ever and having a density of 0.4 to 6 kilograms per meter acute. So is asking us to find the air temperature, and we ever drive this from the gas. Well, P P is equal to an R T. And so to find a temperature when have tea is equal to pressure times the molar mass over density times the gas constant because they did give us density. Okay. And they give us 210 millimeters of Mercury Worker to convert this to, um, atmosphere pressure. So 210 no meters and mercury and one atmospheric pressure is equal to 700 and 60 millimeters of mercury. And this is gonna come out to the point 27 6 I'm Monsieur Pressure of that. And now that we have that, we can start to find the temperature. So wanna go back for tea and give the pressure, he said. Let's 0.276 atmosphere and they give us a movie mask if the big is and that is equal 2 29 grasp or mold and this is over regretted city, which he said was client for 26 Instead of being multiplied by or temperature, I mean the other thing that you will find that the gas constant, which is 0.8206 And when you saw for grace a temperature, it is going to be 229 k or and soc is when you find so she uses to track 273. So basically negative 44 degrees Celsius. Okay, so these asking us to calculate the percent decrease in the oxygen gas from the sea level to talk on Mount Everest. So to find the percent decrease, this is gonna be equal to gonna be equal to one, minus the atmospheric pressure that they give us. So we had point 276 over one atmosphere, cause I should that standard temp and this I'm gonna multiply this by 100 and this is gonna come out to be 72 point four decrease in a pressure. And this is already because this is saying there's no change in the quality of the air. So will be 72.4%

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