Gaseous StateHard
Question
According to kinetic theory of gases, for a diatomic molecule :
Options
A.the pressure exerted by the gas is proportional to mean valocity of the molecule
B.the pressure exerted by the gas is proportional to the root mean valocity of the molecule
C.the root mean square valocity of the molecule is inversely proportional to the temperature
D.the mean translational kinetic energy of the molecule is proprtonal to the absolute temperature
Solution
PV = 
mnu2
where u = root mean square velocity , m=mass of one molecule n= number of molecule
PV =Mu2 (For one mole)
If n = NA, Then m × n = M (M. wt.)
and PV = RT (For one mole)
So,Mu2 = RT ⇒ Mu2 = 3RT
K. E. for one mole,
Mu2 = 
RT
So K. E. / molecule
So K. E. ∝ T
mnu2where u = root mean square velocity , m=mass of one molecule n= number of molecule
PV =
Mu2 (For one mole)If n = NA, Then m × n = M (M. wt.)
and PV = RT (For one mole)
So,
Mu2 = RT ⇒ Mu2 = 3RTK. E. for one mole,
Mu2 = RTSo K. E. / molecule
So K. E. ∝ T
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