At a given temperature which of the following gases possesses maximum r.m.s. velocity?

Question

At a given temperature which of the following gases possesses maximum r.m.s. velocity? (A) hydrogen (B) oxygen (C) nitrogen (D) carbon dioxide

Tardigrade Admin · Accepted Answer

The root mean square velocity of a gas is given by:

< b r / > V_{RMS} = \frac{3 RT}{M} < b r / >

For a given temperature, RMS velocity is inversely proportional to molecular mass. Hence the one with smallest molecular mass has the highest RMS velocity. Which is Hydrogen,

Q. At a given temperature which of the following gases possesses maximum r.m.s. velocity?

hydrogen

oxygen

nitrogen

carbon dioxide

The root mean square velocity of a gas is given by: <br/>VRMS​=M3RT​​<br/> For a given temperature, RMS velocity is inversely proportional to molecular mass. Hence the one with smallest molecular mass has the highest RMS velocity. Which is Hydrogen,

The root mean square velocity of a gas is given by:
$< b r / > V_{RMS} = \frac{3 RT}{M} < b r / >$
For a given temperature, RMS velocity is inversely proportional to molecular mass. Hence the one with smallest molecular mass has the highest RMS velocity. Which is Hydrogen,