VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg. (a) What is the average kinetic energy per Argon atom, in Joules (J)? (b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)? (c) What would the temperature of the gas have to be for the RMS average speed to 275 m/s? Give your answer in degrees Celsius (°C).

VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg. (a) What is the average kinetic energy per Argon atom, in Joules (J)? (b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)? (c) What would the temperature of the gas have to be for the RMS average speed to 275 m/s? Give your answer in degrees Celsius (°C).

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon
atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg.
(a) What is the average kinetic energy per Argon atom, in Joules (J)?
(b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)?
(c) What would the temperature of the gas have to be for the RMS average speed to 275
m/s? Give your answer in degrees Celsius (°C).

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