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An HCl molecule has rotational, translat...

An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is `vec(v), m` is its mass and `k_(s)` is Bolzmann constant, then its temperature will be `(mv^(2))/(nk_(B))` , where n is __________ .

A

`(m vec v^2)/(5k_B)`

B

`(m vec v ^2)/(3k_B)`

C

`(m vec v^2)/(7 k_B)`

D

`(m vec V^2)/(6 k_B)`

Text Solution

Verified by Experts

The correct Answer is:
D
H-Cl is diatomic molecule hence degree of freedom is
f=3 (translational)+2 (rotational)+1(vibration)=6 `" ":. (1)/(2)mbarV^(2)= (6)/(2)K_(B)T :. T= (mbarV^(2))/(6k_(B))`.
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