**Problem Statement:**One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy of \(1.666 \times 10^{-21}\) J, what is the speed of the helium atom? (The speed is much lower than the speed of light.)\[ v = \_\_\_\_ \, \text{m/s} \]**Additional Materials:**- eBook**Explanation:**This problem involves calculating the speed of a helium atom given its kinetic energy. The formula for kinetic energy (\(KE\)) in terms of mass (\(m\)) and velocity (\(v\)) is:\[ KE = \frac{1}{2} m v^2 \]By rearranging this formula, we can solve for \(v\):\[ v = \sqrt{\frac{2 \times KE}{m}} \]Note that the mass of a single helium atom must be determined using the given information that one mole of helium has a mass of 4 grams. This requires converting the mass from grams per mole to kilograms for a single atom, using Avogadro's number.

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One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy of 1.666e-21 J, what is the speed of the helium atom? (The speed is much lower than the speed of light.) V = m/s Additional Materials

One mole of helium atoms has a mass of 4 grams. If a helium atom in a balloon has a kinetic energy of 1.666e-21 J, what is the speed of the helium atom? (The speed is much lower than the speed of light.) V = m/s Additional Materials

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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