For numerous applications in science and technology, a good vacuum is essential. In order to understand the molecular background of a vacuum, a nitrogen (N2) atmosphere at ambient pressure should be compared with a high vacuum (109 torr) and an ultra high vacuum (10-12 torr). An ambient temperature of 25°C and a cross- section diameter of collision of a = 395 pm should be considered. i) Please state at least 3 examples, where a high vacuum is required and explain why. ii) Calculate the velocity with maximum probability p. iii) Calculate the root mean square velocity v-ms· idNI uith

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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For numerous applications in science and technology, a good vacuum is essential. In
order to understand the molecular background of a vacuum, a nitrogen (N2)
atmosphere at ambient pressure should be compared with a high vacuum (10-9 torr)
and an ultra high vacuum (10-12 torr). An ambient temperature of 25°C and a cross-
section diameter of collision of o = 395 pm should be considered.
i) Please state at least 3 examples, where a high vacuum is required and explain why.
ii) Calculate the velocity with maximum probability £.
iii) Calculate the root mean square velocity v,ms-
iv) Calculate the fraction of gas molecules (dN/N in %), which move with a speed
between 9 and vrms.
v) Calculate the mean free path a and the collision frequency fcotlision of the gas
molecules.
Transcribed Image Text:For numerous applications in science and technology, a good vacuum is essential. In order to understand the molecular background of a vacuum, a nitrogen (N2) atmosphere at ambient pressure should be compared with a high vacuum (10-9 torr) and an ultra high vacuum (10-12 torr). An ambient temperature of 25°C and a cross- section diameter of collision of o = 395 pm should be considered. i) Please state at least 3 examples, where a high vacuum is required and explain why. ii) Calculate the velocity with maximum probability £. iii) Calculate the root mean square velocity v,ms- iv) Calculate the fraction of gas molecules (dN/N in %), which move with a speed between 9 and vrms. v) Calculate the mean free path a and the collision frequency fcotlision of the gas molecules.
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