Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 11 - Gases - Exercises - Questions - Page 400: 14

Answer

The Boyle's gas law defines the relationship between pressure and volume. According to this, the volume of gas is inversely proportional to its pressure at constant temperature. PV= constant. Therefore as the volume of a gas increases the pressure of the gas decreases and as the volume of a gas decreases the pressure of the gas increases. The Charle's gas law defines the relationship between temperature and volume. According to this, the volume of gas is directly proportional to its temperature at a constant pressure. $\frac{V}{T}$ = constant Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases. The Avagadro's law defines the relationship between the number of moles and volume. According to this, the volume of gas is directly proportional to the number of moles. $\frac{V}{n}$ = constant Therefore as the number of moles of a gas increases the volume of the gas increases and as the number of moles of a gas decreases the volume of the gas decreases when it is at a constant temperature and pressure. Combining these equations gives us the ideal gas law equations. PV = nRT Where P is pressure, V is volume, n is the number of moles, R is ideal gas constant, and T is temperature.

Work Step by Step

The Boyle's gas law defines the relationship between pressure and volume. According to this, the volume of gas is inversely proportional to its pressure at constant temperature. PV= constant. Therefore as the volume of a gas increases the pressure of the gas decreases and as the volume of a gas decreases the pressure of the gas increases. The Charle's gas law defines the relationship between temperature and volume. According to this, the volume of gas is directly proportional to its temperature at a constant pressure. $\frac{V}{T}$ = constant Therefore as the temperature of a gas increases the volume of the gas increases and as the temperature of a gas decreases the volume of the gas decreases. The Avagadro's law defines the relationship between the number of moles and volume. According to this, the volume of gas is directly proportional to the number of moles. $\frac{V}{n}$ = constant Therefore as the number of moles of a gas increases the volume of the gas increases and as the number of moles of a gas decreases the volume of the gas decreases when it is at a constant temperature and pressure. Combining these equations gives us the ideal gas law equations. PV = nRT Where P is pressure, V is volume, n is the number of moles, R is ideal gas constant, and T is temperature.
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