Question

At a constant temperature, which of the gases will have the highest average

Answer 1

H₂ will have the highest average  kinetic energy

Further explanation  

Energy because this motion is expressed as Kinetic energy (KE) which can be formulated as:  

$\tt \displaystyle KE=\frac{1}{2}mv^2$

Average velocities of gases can be expressed as root-mean-square averages. (V rms)  

$\large{\boxed{\bold{v_{rms}=\sqrt{\frac{3RT}{Mm} } }}$

R = gas constant, T = temperature, Mm = molar mass of the gas particles

From the two equations above, it can be concluded

• KE is directly proportional to gas velocity
• Gas velocity is inversely proportional to molar mass

So the highest KE is owned by the gas with the smallest molar mass

Molar mass of the gas :

A) H₂  : 2 g/mol

B) N₂ : 28 g/mol

C) O₂  : 32 g/mol

D) F₂ : 38 g/mol

So H₂ has the highest average  kinetic energy