Question

Show that how concept of Absolute zero came from Charles law.​

Answer 1

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According to Charles Law,

Volume of a gas at t℃,

$\sf{V_{t} = V_{o} + \frac{t}{273} \: V_{o}}$

$\sf{= V_{O} ( 1 + \frac{t \: }{273} )}$

At -273 ℃ ,

$\sf{V_{-273} = V_{O} ( 1 - \frac{273}{273} )}$

$\sf{ = \: V_{O} (1 - 1)}$

$\sf \: = \: { \:( V_{O})(0)}$

$= \: 0$

Hence, Volume of a gas at -273℃ is 0, this means that the gas will not exist. In fact all the gases gets liquefied before attaining this temperature. The lowest hypothetical temperature at which gases are supposed to occupy zero volume is called Absolute zero.

Answer 2

Charles low :-This low was formulated by a Frenchman Jacques A.C Charles in about 1787. It maybeay stated in two different forms

(i) The volume of a given mass of a perfect gas varies directly as it's absolute temperature, when the absolute pressure remains constant.

V directly proportional to T

or

V/T = constant

(ii) All the perfect gases change in volume by 1/273 th of its original volume at 0℃ for every change in temperature, when the pressure remains constant.

Let,

V0= volume of given mass of gas at 0℃

Vt= volume of the same mass of gas at t℃

Vt= V0 +(1/273)V0×t

Vt= V0 (273+t)/273

Vt= V0×(T/T0)

Vt/T=V0/T0

T=Absolute temperature corresponding to t℃

T0=Absolute temperature corresponding to 0℃

I hope that helps you