In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at 35 °C temperature. Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-23 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a molecule

In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at 35 °C temperature. Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-23 J/K) (a) the average kinetic energy of a molecule, (b) the total random kinetic energy of all the molecules, and (c) the rms speed of a molecule

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 38P

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Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

In a cylinder 5 moles of Methane gas (M=16.04 x 103 kg/mole) is at
ii)
35 °C
temperature.
Calculate for the gas: (R=8.31 J/kg-mole K and KB =1.38 x 10-23 J/K)
(a) the average kinetic energy of a molecule,
(b) the total random kinetic energy of all the molecules, and
(c) the rms speed of a molecule

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