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Identify the gas whose root-mean-square speed is 2.82 times that of hydrogen iodide (HI) at the same temperature.

Oxygen in elemental form

Chemistry 101

Chapter 5

Gases

Rice University

University of Maryland - University College

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.

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Calculate the temperature …

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The lowest possible tempe…

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Calculate the root mean sq…

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At what temperature is the…

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$\bullet$$\bullet$ At what…

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Calculate the root-mean-sq…

so we want to find, uh Well, what we can find is the molar mass of the gas. Since it's we've got the ratio of its root, mean square speed to that of a known hydrogen iodide on. Then we can see what we can see. So ah, Graham's law Ah, here. Ah gives us theory ratio of the masses or molar masses either molecular masses or motor masses for and unknown. And hydrogen iodide is inverse of the hydrogen hydrogen iodide in the numerator. Ah, and the unknown in the denominator, inverse to the square of the speeds. And so multiplying both sides by the mass of the known, we can calculate the mass of the unknown plugging in the speed of the hydrogen iodide and the unknown, uh, has a root, mean square speed that is 2.8 times that, uh, the, uh, hydrogen idot. And so, basically, then it's the molar mass of the hydrogen iodide when 27 point 8/2 27.0.8 squared and so I come up with 16.3. Now, that could be, Ah, a gas that I know that's close to 16 is ch four or methane. The ammonia is a little further away. Uh, that at 17 atomic oxygen doesn't look very likely. Looks like this is probably our best answer.

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