Question

State and explain Charle’s law?

Answer 1

Hint: It is one of the four basic laws from the kinetic theory of gases . Now if you get an idea, solve it step by step using its statement.

Complete step by step answer:
First we will state Charle's law and then we will explain it.

Statement of Charle’s law - According to this law, at constant pressure and for constant mass of a gas , the volume of a gas is directly proportional to the temperature.
Explanation of Charle’s law - This law means that with the increase in temperature the volume shall increase while with decreasing temperature the volume decreases.
Charles, In his experiment calculated that the increase in volume with every degree equals 1/273.15 times the original volume.
Therefore, if the volume is ${ V }_{ 0 }$ at ${ 0 }^{ 0 }$ C and Vt is the volume at ${ t }^{ 0 }$ C then,The observations of temperature (${ T }_{ t }$) on this scale is 273.15 greater than the temperature (t) of the normal scale.
${ T }_{ t }$ = 273.15+t
while, when t = ${ 0 }_{ 0 }$ C then the reading on the Celsius scale is 273.15.
In the equation $V_{ t }\quad =\quad V_{ 0 }(273.15\quad +\quad t/273.15)$
if we take the values ${ T }_{ t }\quad=\quad 273.15\quad+\quad t$ and ${ T }_{ 0 }$ = 273.15
Then, $V_{ t }\quad =\quad V_{ 0 }(\quad { T }_{ t }/{ T }_{ 0 })$
Which implies $V_{ t }/V_{ 0 }\quad =\quad (\quad { T }_{ t }/{ T }_{ 0 })$
That can also be written as:
$V_{ 2 }/V_{ 1 }\quad =\quad (\quad { T }_{ 2 }/{ T }_{ 1 })$
or $V_{ 1 }/T_{ 1 }\quad =\quad (\quad { V }_{ 2 }/{ T }_{ 2 })$
That means, $V\quad/\quad T\quad=\quad$ constant
It means that when pressure is held constant, the ratio of volume and temperature is constant.
Additional information:
Kelvin Temperature Scale - For the purpose of measuring the observations of gaseous substances at temperature 273.15 K, we use a special scale called the Kelvin Temperature Scale. The Kelvin Scale is also called Absolute Temperature Scale or Thermodynamic Scale. This scale is used in all scientific experiments and works.

Note: Some daily life examples of Charles law are - If you overfill a tube that is placed on a pool on a hot day, it can swell up in the sun and burst.
In winter the volleyball and basketball slightly shrink because of decrease in external temperature.