Answer:
Helium and Neon have the same average kinetic energy but Helium have an higher average speed of gas than Neon.
Explanation:
The average kinetic energy which depends on the temperature of its gas is given by the formula:
Average Kinetic energy = [tex]\frac{3}{2} \frac{R}{N_A} T[/tex]
where ;
R = gas constant
[tex]N_A[/tex] = avogadro's number
T = temperature
Thus; the Average Kinetic energy ∝ Temperature
Since Temperature is the same for both Helium and Neon ; then their average kinetic energy will be the same.
However; the average speed of gas is inversely proportional to their molecular mass M.
i.e average speed of gas ∝ [tex]\sqrt{\frac{1}{M} }[/tex]
In addition to that ; Molecular weight of Helium sample is less than the Molecular weight of Neon sample.
Thus, the average speed of Helium will be greater than the average speed of Neon
In conclusion ; Helium and Neon have the same average kinetic energy but Helium have an higher average speed of gas than Neon.
