The average kinetic energy of the gas will increase by a factor of 1.27

<h3>Further explanation</h3>
The Ideal Gas Law that needs to be recalled is:

<em>P = Pressure (Pa)</em>
<em>V = Volume (m³)</em>
<em>n = number of moles (moles)</em>
<em>R = Gas Constant (8.314 J/mol K)</em>
<em>T = Absolute Temperature (K)</em>
Let us now tackle the problem !

<u>Given:</u>
initial temperature of the gas = T₁ = 100°C = 373 K
final temperature of the gas = T₂ = 200°C = 473 K
<u>Asked:</u>
ratio of average kinetic energy of the gas = Ek₁ : Ek₂
<u>Solution:</u>






<h3>Conclusion:</h3>
The average kinetic energy of the gas will increase by a factor of 1.27 if the temperature of a gas is raised from 100°C to 200°C.

<h3>Learn more</h3>

<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Pressure