Question

How do you graph Charles’s law?

Answer 1

The Charles’s law relates the temperature term and the volume term of the gaseous substances.
Charles's law is followed by the gases at high temperature and low pressure.

Complete answer:
In the question it is given how we can represent Charles's law in graphical method i.e. to draw the general graph for Charles’s law.
Before tracing the graph for Charles’s law we have to know what does Charles’s law comment and why it is called so.
From the lower classes we are studying various gases and there are many laws which explain the relation between various parameters of the gaseous system and one among them is Charles's law.
Charles’s law is called so because of the scientist Jacques Charles and he first formulated the law in his unpublished work.
Charles's law is an experimental law for the gaseous system in which the law explains how a gaseous substance expands when the gaseous substance is heated.
And the modern statement for Charles’s law can be stated that,
When the pressure of the dry sample of gas is held constant then the Kelvin temperature and the volume of the gas will be directly proportional to each other.
And we can write as, $\text{V }\\!\\!\alpha\\!\\!\text{ T}$
Let’s consider an experimental case and relate Charles's law.
Consider a balloon in which the volume of gas present is 2L at 300K and then increase the temperature we know that on increasing the temperature the gas expands and the volume also is increased twice and gives a volume of 4L.
Hence we can relate the volume and temperature terms from the above case as, when the temperature is increased the volume is also increasing i.e. the volume and temperature are directly proportional.
And if the temperature is decreased the volume also will get decreased.
So now let’s write this data as an equation.
Since,$\text{V }\\!\\!\alpha\\!\\!\text{ T}$, we can write $\text{V=kT}$,where k is the constant
We can also write the equation as,$\dfrac{V}{T}=k$
Since, the$\text{V }\\!\\!\alpha\\!\\!\text{ T}$, if we trace the graph of volume and temperature of a gaseous the obtained graph will be a straight line and we can draw the graph as,

Note:
Charles's law is also called the law of volumes.
We could write the equation of Charles’s as,$\dfrac{{{V}_{1}}}{{{T}_{1}}}=\dfrac{{{V}_{2}}}{{{T}_{2}}}$ or $\dfrac{{{\text{V}}_{\text{2}}}}{{{\text{V}}_{\text{1}}}}\text{=}\dfrac{{{\text{T}}_{\text{2}}}}{{{\text{T}}_{\text{1}}}}$ or ${{\text{V}}_{\text{1}}}{{\text{T}}_{\text{2}}}\text{=}{{\text{V}}_{\text{2}}}\text{T}$
The volume is measured in liters and the temperature scale is expressed in Kelvin.
The other two laws which are related to gases are the Avogadro law and Boyle’s law.