Chemistry 9th Edition

Published by Cengage Learning
ISBN 10: 1133611095
ISBN 13: 978-1-13361-109-7

Chapter 5 - Gases - Active Learning Questions - Page 233: 17

Answer

a. temperature must be known. b. mass of the molecule, temperature of the gas sample, size of the molecule, and density of the gas sample must be known. c. mass of the molecule, temperature of the gas sample must be known. d. mass of the molecule and temperature of the gas sample must be known. e. mass of the molecule, temperature of the gas sample, size of the molecule must be known. f. size of the molecule, and density of the gas sample must be known.

Work Step by Step

a. Average kinetic energy $〈ϵ〉=1/2 KT$ so it depends on temperature only. So, only temperature must be known to calculate $〈ϵ〉$. b. Average number of collisions per second with other gas molecules is $Z=1/2 √2 πσ^2 √(8kT/πm) N ̃^2$. where $σ$. is collision diameter, $m$. is the mass of the molecule, $N ̃ $.is $molecules/m^3$. So, mass of the molecule, temperature of the gas sample, size of the molecule, and density of the gas sample must be known. c. Average force of each impact on the wall is $〈F_W 〉=(1/3 m〈c^2 〉)/l$. and $⟨c^2 ⟩=3RT/M$. So, mass of the molecule, temperature of the gas sample must be known. d. Root mean square velocity of gas is $c_rms =√(3RT/M)$. So, mass of the molecule and temperature of the gas sample must be known. e. Average number of collisions with a given area of the container is $Z=1/2 √2 πσ^2 √(8kT/πm) N ̃^2 $. for given area of the container N ̃ is constant. So, mass of the molecule, temperature of the gas sample, size of the molecule must be known. f. Average distance between collisions $λ=1/√2 πσ^2 N ̃$ . So, size of the molecule, and density of the gas sample must be known.
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