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Hydrogen molecules (molecular mass is equal to 2.016 $\mathrm{g} /$ mol) have an average velocity $v_{\mathrm{rms}}$ equal to 193 $\mathrm{m} / \mathrm{s} .$ What is the temperature?

$T=3.012 \mathrm{K}$

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

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Lectures

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we know that the root means squared velocity is simply the square roots of these of the squared velocity or the average squared velocity, so this should be equal to the square root of three times K bolts mons, constant times t the temperature divided by AM the mass. And so we find that gun T the temperature is equaling to the mass times. The root means squared, velocity squared or the root means squared, speed squared, divided by three times. Cable's been constant. We know that the masses equaling the molecular weight or we can say the Moler Mass divided by avocados number. And so we find that then the temperature is equaling. The molecular weight provided by avocados number multiplied by the root means squared, speed squared, divided by three times Holtzman's constant, and we can find a temp temperature. The temperature will be equaling 2.16 times, 10 to the negative third kilograms. Permal. This would be divided by 6.0 two times, 10 to the 23rd. Permal multiplied by 193 meters per second. Quantity squared, divided by three times, both men's constant of 1.38 times 10 to the negative. 23rd Jules per Calvin and to the temperature. T is equaling 3.1 Calvin, this would be our final answer. That is the end of the solution. Thank you for watching.

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