CHEM ideal gas
posted by Kimora on .
hi
i am working on trying to derive KE (or Etrans)=3/2nRT
so i know these steps
that
___________
pV= nRT
and pV= 1/3 NmV2
and combining them, we get
nRT= 1/3Nmv2
also, we know that for translational motion, KE= 1/2Nmv2
______
i don't know how
2/3 (1 /2 Nmv2) = nRT
where did that 2/3 come from??!!
i know that subsequently, it will be 2/3KE= nrt
and i will get KE=3/2 nRT
i just don't KNOW WHERE THE 2/3 came from in the first place!

2/3 x 1/2 is another way of writing 1/3. The equations
nRT= (1/3)Nmv^2
and
nRT = (2/3)(1/2)NmV^2
are equivalent.