Two gases X (Mol. Wt M_(X) ) and(Mol. Wt. M_(y), M_(y)gtM_(X)) are at the same temperature T in two different containers. Their root mean square velocities are C_(x) and C_(Y) respectively. If the average kinetic energies per molecule of two gases X and Y are E_(X() and E_(Y) respectively, then which of the following relations (s) is (are) true?

Two gases X (Mol. Wt M_(X) ) and(Mol. Wt. M_(y), M_(y)gtM_(X)) are at

1.	Two gases X (Mol. Wt M_(X) ) and(Mol. Wt. M_(y), M_(y)gtM_(X)) are at the same temperature T in two different containers. Their root mean square velocities are C_(x) and C_(Y) respectively. If the average kinetic energies per molecule of two gases X and Y are E_(X() and E_(Y) respectively, then which of the following relations (s) is (are) true?
Answer» `E_(X)gtE_(Y)` `C_(X)gtC_(Y)` `E_(X)=E_(Y)=3/2RT` `E_(X)=E_(Y)=3/2k_(B)T` Solution :Average kinetic energy per MOLECULE of GAS `E_(K)` `=3/2k_(B)T` where `k_(B)=` Boltzmann constant `impliesbar_(k)=3/2(RT)/(N_(A))" "( :. k_(B)=R/(N_(A)))` `C_(X)=sqrt((3RT)/(M_(x)),C_(Y)=sqrt((3RT)/(M_(Y)))` `(C_(X))/(C_(Y))=sqrt((3RT)/(M_(X))XX(M_(Y))/(3RT))=sqrt((M_(Y))/(M_(X)))gt1""[............M_(Y)gtM_(X)]` `:.C_(X)gtC_(Y)`