Question

By what factor does the average kinetic energy of gas molecules in a container increase when the temperature is raised from 300K to 900K

Answer 1

\[E _{avg} = \frac{ 3 }{ 2 }nRT\]
Where n = no. of moles
R= universal gas constant
T= temperature in Kelvins.
Since they have not talked about a change in he no. of moles of gas n is constant and R is anyway constant.
Therefore we can say
\[E _{avg}\alpha T\]
If Eavg = initial kinetic energy
E'avg= final kinetic energy
T' = final temperature
T = initial temperature
\[\frac{ E'_{avg} }{ E _{avg} } = \frac{ T' }{ T } = \frac{ 900 }{ 300 } = 3\]

Answer 2

Thanks so much

Answer 3

No problem bubs :)