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The temperature in the stratosphere is $-23^{\circ} \mathrm{C}$. Calculate the root-mean-square speeds of $\mathrm{N}_{2}, \mathrm{O}_{2},$ and $\mathrm{O}_{3}$ molecules in this region.

$$\begin{aligned}&441 \mathrm{m} / \mathrm{s}\\&472 \mathrm{m} / \mathrm{s}\\&360 \mathrm{m} / \mathrm{s}\end{aligned}$$

Chemistry 101

Chapter 5

Gases

Carleton College

Drexel University

Brown University

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.

05:21

At what temperature is the…

04:12

$\bullet$$\bullet$ At what…

03:15

(a) Compute the root-m…

02:31

03:04

01:39

Calculate the temperature …

06:16

Calculate the root mean sq…

01:22

Calculate the root-mean-sq…

83 from chapter 11 and we're trying to find the route square mean a gradient oxygen and ozone when they get a temperature of negative 23. So the first thing we're gonna do is first convert to Calvin. So make our, um, calculation here, So give us negative 23 degree Celsius. When you add 273 it gives you Calvin and the Koven would be equal to 200 and 50. Calvin. Okay, Now we can solve for each, um, element are compounds of the equity you're gonna use is the square root times three are tee danger, the molar mass. Okey doke. Okay, let's first start with nitrogen. So into. So we have three times the gas constant for this is gonna be eight point three 145 as a temper, well defined by the temperatures of 250 k divided by the molar mass and, um, the molar mass. And that's Jenna's 28 grams. Both to put this in kilograms, so them so it makes it 280.0 28 and this is gonna come out to be 400 and 70 to meters per second. OK, Here we go for Nachagyn. And next thing we have is oxygen. Okay, you know, So we're gonna have three time to the gas Constant at 3.31 45 Time to temperature. It is 250 k all over the molar mass, which for oxygen for two. Oxygen's It is 32. But since we have since you need in kilograms, gonna be point g 03 to everything. So when you saw for this, it is going to be 400 and 41 in for a second Okita and the last time we have it's just ozone. Open it. Okay, so we're gonna have three times the gas constant eight point 3145 times a temperature, 250 k over. It's, um, molar mass in kilograms. So for ozone, it is gonna be 0.0 for eight programs from old. And when you saw for this, ozone is gonna be 300 and 60 meters for a second

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