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Suppose that the average velocity $\left(v_{\text { rms }}\right)$ of carbon dioxide molecules (molecular mass is equal to 44.0 g/mol) in a flame is found to be $1.05 \times 10^{5} \mathrm{m} / \mathrm{s} .$ What temperature does this represent?

$T=1.95 \times 10^{7} \mathrm{K}$

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

University of Michigan - Ann Arbor

University of Washington

University of Winnipeg

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so we know that the average velocity, the We Aramis is 1.5 five meters per second. You also know that the mass off each molecule is but the moler masses for before grams per mole doing that. It's a carbon dioxide molecules, which means the mass off a single molecule will be 44 grams, divided by avocado number simples that so we use our or immigration half and we square, which is the kind of energy is equal to be by to Katie, which means temperature is it will do, and he's clear you would invite three k simplest. So that's the mass is 44 grams, so that's 44 into 10. Power minus three, divided by the hour hyper number, which I'll call and not times of the Ottoman squared is 1.5 in tow and about five squared, divided by our bolts. One constant Let's right now the three and then the bolts. One constant, if you remember, is the gas constant, which is 8.314 Jewel perm or kill been divided by our guard number Again, if you notice the about other numbers, cancel. This is why It's better to express our mass in this unit and that is it. Simply practice into a calculator and you'll see that it is equal to 1.945 into tend Bar seven. What's that?

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