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Chapter 12: Problem 6

What relationship does Charles's law express?

Short Answer

Expert verified
Charles's law expresses the direct proportional relationship between the volume and absolute temperature of a gas, provided the pressure is constant. It is mathematically represented by the formula, \( V = kT \) or \( V_1/T_1 = V_2/T_2 \), where \( V \) is the volume of the gas, \( T \) is the absolute temperature, and \( k \) is the constant of proportionality.

Step by step solution

01

Understanding Charles's law

Charles's law, also known as the law of volumes, describes how gases tend to expand when heated. It is considered as a basic principle in the study of physical chemistry and thermodynamics.
02

Statement of Charles's law

The formal statement of Charles's Law can be framed as follows: 'The volume of a given amount of gas is directly proportional to its absolute temperature on the Kelvin scale, provided its pressure remains constant.'
03

Expressing the law mathematically

The mathematical representation of Charles's law is \( V \propto T \), where \( V \) is the volume of the gas, and \( T \) is the absolute temperature. When the constant of proportionality is included, the law can also be stated as \( V = kT \), where \( k \) is the constant of proportionality. Since both the conditions, volume and temperature remain constant, the law can also be expressed as \( V_1/T_1 = V_2/T_2 \) for any two sets of corresponding volume-temperature measurements of the gas.

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