Explanation The postulates of kinetic molecular theory of gas molecules are: i) All gases are composite of number of small particles those are called gaseous molecules. The mass and shape of the molecules of a particular gas is same. ii) The gaseous molecules are like spheres. The distance between the molecules are so long that there is no attraction or repulsion force acts between them. The total volume of the gas is large compared to the individual volume of the gas molecules, so the gas molecules are assumed as points. iii) The kinetic energy of the gas molecules are different but at a specific temperature the average kinetic energy of a gas molecules remain same. So at a specific temperature and specific mass the kinetic energy of a gas molecule remain constant. The kinetic energy of a gas molecule is proportional to the ideal temperature. iv) The molecules are in rapid motion which is completely random. During their motion, they collide with each other and with sides of the vessel. The pressure of the gas is due to the collisions of molecules with the side of the vessel. v) The molecules are perfectly elastic in nature i.e. there occurs no loss of energy when they collide with one another and with side of the vessel. vi) The laws of classical mechanics , in particular Newton’s second law of motion are applicable to the molecules in motion. Formula used: PV = 1 3 mNc 2 (Where P, V. m, N and c is the pressure, volume, molar mass, number and velocity of the molecule respectively) And PV=RT (Where R and T is the molar gas constant and temperature) Calculation: According to the kinetic molecular theory of gas PV = 1 3 mNc 2 PV = 2 3 N × 1 2 mc 2 PV = 2 3 NE (Where E is the kinetic energy of a molecule i.e. 1 2 mc 2 ) If we take a gm-mole of gas the number of molecules would be the, Avogadro number . Then, PV = 2 3 N 0 E = 2 3 E ..............................Equation 1 (where E is the kinetic energy of a gm-mole of gas) From the gas laws, for a gm-mole we have PV=RT...

Chemistry: Structure and Properties Plus Mastering Chemistry with Pearson eText -- Access Card Package (2nd Edition) (New Chemistry Titles from Niva Tro)

2nd Edition

ISBN: 9780134436524

Author: Nivaldo J. Tro

Publisher: PEARSON

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases…

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Chapter 10, Problem 20E

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To determine: Relation between kinetic energy and temperature of a gas and relation between root mean square velocity and molar mass of a gas

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Chapter 10, Problem 19E

Chapter 10, Problem 21E

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Chemistry: Structure and Properties Plus Mastering Chemistry with Pearson eText -- Access Card Package (2nd Edition) (New Chemistry Titles from Niva Tro)

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Relation between kinetic energy and temperature of a gas and relation between root mean square velocity and molar mass of a gas

Solution Summary: The author explains the postulates of the kinetic molecular theory of gas molecules.

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To determine: Relation between kinetic energy and temperature of a gas and relation between root mean square velocity and molar mass of a gas

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Chapter 10 Solutions