State Charles's Law. Derive its mathematical expression

 Charles's Law describes the relationship between the volume and temperature of a gas when the pressure is held constant. It states that the volume of a gas is directly proportional to its absolute temperature.


Mathematically, Charles's Law can be expressed as:


V @T 


where:

- V is the volume of the gas,

- T is the absolute temperature of the gas.


The proportional relationship can be written as an equation by introducing a constant of proportionality, typically denoted as \( k \):


V=  k .T 


In this equation, \( k \) is a constant specific to the gas and the units used. If the temperature is measured in Kelvin (K) and the volume in liters (L), then \( k \) would have units of L/K.


It's important to note that this relationship holds true when the pressure and amount of gas are kept constant.

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