H₂ will have the highest average kinetic energy
Energy because this motion is expressed as Kinetic energy (KE) which can be formulated as:
[tex]\tt \displaystyle KE=\frac{1}{2}mv^2[/tex]
Average velocities of gases can be expressed as root-mean-square averages. (V rms)
[tex]\large{\boxed{\bold{v_{rms}=\sqrt{\frac{3RT}{Mm} } }}[/tex]
R = gas constant, T = temperature, Mm = molar mass of the gas particles
From the two equations above, it can be concluded
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
At a constant temperature: E. All the gases will have the same average kinetic energy.
According to the kinetic-molecular theory, the average kinetic energy of gas molecules (particles) is highly dependent on temperature.
Hence, the average kinetic energy of gas molecules (particles) is directly proportional to the absolute temperature of the gas.
At a constant temperature, all gases would have the same average kinetic energy according to the kinetic-molecular theory of gases.
In conclusion, all the gases would have the same average kinetic energy since the temperature is constant.
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