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The most probable speed of the molecules in a gas at temperature $T_{2}$ is equal to the rms speed of the molecules at temperature $T_{1}$ .Find $T_{2} / T_{1}$ .

$\frac{T_{2}}{T_{1}}=\frac{3}{2}$

Physics 101 Mechanics

Chapter 19

The Kinetic Theory of Gases

Temperature and Heat

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

University of Winnipeg

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So we're given that the bomb Most probable velocity at T two equals the room being squared. Velocity that t one So the P equals the square root to Artie over M and V. Arma equals swear. Rule of three. Artie over M. So the ratio of these two the p over proms a T one here T to here equals one because they were equal equals. Here are an M. We'll cancel in our ratio, so we'll get the square root. Two King two over square, room three. Okay, one So we can square one. And this will give us two tea too. Over three. One equals one. Which gives us tea, too. Over t one equals three over too.

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