The Reasons Why Ideal Gas Always Use Kelvin Temperature

when we are studying about the ideal gas, the unit of temperature should use a unit  kelvin whereas the unit of temperature can be in celcius or in farenheit. in this article we will discuss the reasons why the temperature of the unit gas should be in kelvin.

Determining the units physics in the kinetic theory of gas, temperature should be stated in kelvin. Based on Gay-Lussac experiments that the coefficient expansion of any gas is always 1/273 C-1. Here are the mathematical derivations and mathematical descriptions of the ideal gas equations in the fixed pressure. Derivations starts from Volume gas expansion equation.

$V={{V}_{i}}(1+gamma Delta t)$

Vi = Initial volume

Δt = Temperature difference

$gamma =frac{1}{273}{}^{0}{{C}^{-1}}$ is coefficient expansion of any gas

$V={{V}_{i}}(1+frac{1}{273}Delta t)$

we change the equation to be

$V=frac{{{V}_{i}}}{273}left( 273+left( t-{{t}_{i}} right) right)$

The initial temperature ti is zero 0C the equation becomes

$V=frac{{{V}_{i}}}{273}left( 273+t right)$

we can change (373 + t) = T this is why the ideal gas temperature should be in kelvin

$V=frac{{{V}_{i}}}{273}T$

$frac{V}{T}=frac{{{V}_{i}}}{273}$

we find the Gay-Lussac equation for constant temperature

$frac{V}{T}=C$

$frac{{{V}_{1}}}{{{T}_{1}}}=frac{{{V}_{2}}}{{{T}_{2}}}$

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